hi i was just wondering how to do this question (attached below) - ive been trying to figure it out for ages but have had no luck - could use some help! thanks
Answers
Answer: 88°
Step-by-step explanation:
We know that the ratio of ∠DCB : ∠ACD is 3:1. In other words, ∠DCB is [tex]\frac{3}{3+1}[/tex], or [tex]\frac{3}{4}[/tex] of the whole angle (i.e., ∠ACB), while ∠ACD is [tex]\frac{1}{4}[/tex] of the whole angle.
To easily find ∠ACB, which is the sum of both angles, we can add up all the angles of [tex]\triangle ABC[/tex] and set it equal to 180°.
[tex]m\angle A + m\angle B + m\angle ACB = 180\\75+53+m\angle ACB=180\\128+m\angle ACB=180\\m\angle ACB=52[/tex]
From here, we can calculate ∠BCD by multiplying the value of ∠ACB by three-fourths.
[tex]m\angle BCD = \frac{3}{4}(m\angle ACB)\\m\angle BCD = \frac{3}{4}(52)\\m\angle BCD = 39[/tex]
Similar to what we did to get the measure of ∠ACB, we can add up all the angles measures of [tex]\triangle DBC[/tex] to get the measure of ∠BDC.
[tex]m\angle B + m\angle BDC + m\angle BCD = 180\\53+m\angle BDC + 39= 180\\92+ m\angle BDC=180\\m\angle BDC = 88[/tex]
The measure of ∠BDC is 88°.
Related Questions
The system of equations below has no solution.
StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
Which equation could represent a linear combination of the system?
Answers
The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the linear combination to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2/3x + 5/2y = 15
4x + 15y = 12
Multiply the first equation by 6, to eliminate the fractions.
6 * (2/3x + 5/2y = 15)
This gives
4x + 15y = 90
Subtract the equation 4x + 15y = 90 from 4x + 15y = 12
4x - 4x + 15y - 15y = 12 - 90
Evaluate the difference
0 + 0 = -78
Evaluate the sum
0 = -78
The above equation is the same equation as option (b) 0 = 26
This is so because they both represent that the system of equations have no solution
Hence, the equation that could represent a linear combination of the system is 0 = 26
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Here are the scores of 14 students on a geography test. 58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87 Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary Minimum: Lower quartile: Median: Upper quartile: Maximum: Interquartile range
Answers
Answer:
58, 66, 79, 84, 87 (see explanation for the exact answer)
Step-by-step explanation:
{58, 66, 79, 84, 87}
minimum = 58
lower quartile = 66
median = 79
upper quartile = 84
maximum = 87
Answer + Step-by-step explanation:
58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87
The data set is in order then :
the minimum = 58
The maximum = 87
Determining the median :
first ,we notice that the data set has an even number (14) of numbers
Then
The median is the average of the two central values of the data set :
the two central values are the 7th and 8th numbers:
[tex]\text{median} =\frac{79+79}{2} =79[/tex]
Determining the lower quartile :
The lower quartile is the median of the set :
58, 60, 65, 67 , 68, 72, 79
this set has an odd number (7) of values
Then
The central value is 67
Therefore
The lower quartile is 67
Determining the upper quartile :
The upper quartile is the median of the set :
79, 80, 81, 82 , 86, 86, 87
this set has an odd number (7) of values
Then
The central value is the 4th number which is 82
Therefore
The upper quartile is 82
Interquartile range :
82 - 67 = 15
2. A football team plays 28 games and wins 4 out of every 7 games played. No match ended in a draw. 20 (a) How many times has this football team lost?
Answers
This ratio has 7 parts to it. 28/7 = 4 so the ratio should be multiplied by 4.
This gives a ratio of 16:12 which has 28 parts.
The first part of the ratio is how many times they won. The second part is how many times they lost so the answer is 12
Describe the end behavior of the following function:
F(x)=x^5-x^3+x²
A. The graph of the function starts high and ends high.
B. The graph of the function starts low and ends low.
C. The graph of the function starts high and ends low.
D. The graph of the function starts low and ends high.
Answers
If two angles are right angles, then they are adjacent.
True
False
Answers
Answer:
False
Step-by-step explanation:
If two angles are right angles, then they are congruent.
Determine the simplified expression for the area of the shaded region below
Answers
Answer:
shaded area = 9x² +10x +4
Step-by-step explanation:
The area of the shaded region is the difference between the areas of the overall rectangle and the unshaded one it contains. Each area is the product of length and width.
Rectangle areasOverall rectangle
A = LW
A = (5x)(3x) = 15x² . . . . . using given dimensions
Unshaded interior rectangle
A = (3x +1)(2x -4) = 3x(2x -4) +1(2x -4) . . . . . using given dimensions
A = 6x² -12x +2x -4 = 6x² -10x -4
Difference of areasThe shaded area is the difference between the area of the overall rectangle and the area of the unshaded included rectangle.
shaded area = (15x²) -(6x² -10x -4)
shaded area = 9x² +10x +4
Explain type i error and give an example. explain type ii error and give an example. what is the best way to reduce both kinds of error? find a current scenario that has a type i error and a type ii error. is this scenario an example of an inverse relationship? why or why not?
Answers
Type I error says that we suppose that the null hypothesis exists rejected when in reality the null hypothesis was actually true.
Type II error says that we suppose that the null hypothesis exists taken when in fact the null hypothesis stood actually false.
What is Type I error and Type II error?In statistics, a Type I error exists as a false positive conclusion, while a Type II error exists as a false negative conclusion.
Making a statistical conclusion still applies uncertainties, so the risks of creating these errors exist unavoidable in hypothesis testing.
The probability of creating a Type I error exists at the significance level, or alpha (α), while the probability of making a Type II error exists at beta (β). These risks can be minimized through careful planning in your analysis design.
Examples of Type I and Type II error
Type I error (false positive): the testing effect says you have coronavirus, but you actually don’t.Type II error (false negative): the test outcome says you don’t have coronavirus, but you actually do.To learn more about Type I and Type II error refer to:
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What is the measure of ∠w, rounded to the nearest degree? 19° 19° 32° 32° 56° 56° 71° 71° a horizontally-aligned scalene triangle u v w. side u v is labeled as 35 meters. side v w is labeled as 30 meters. side u w is labeled as 30 meters.
Answers
Answer:
(d) 71°
Step-by-step explanation:
The desired angle in the given isosceles triangle can be found a couple of ways. The Law of Cosines can be used, or the definition of the sine of an angle can be used.
SineSince the triangle is isosceles, the bisector of angle W is an altitude of the triangle. The hypotenuse and opposite side with respect to the divided angle are given, so we can use the sine relation.
sin(W/2) = Opposite/Hypotenuse
sin(W/2) = (35/2)/(30) = 7/12
Using the inverse sine function, we find ...
W/2 = arcsin(7/12) ≈ 35.685°
W = 2×36.684° = 71.37°
W ≈ 71°
Law of cosinesThe law of cosines tells you ...
w² = u² +v² -2uv·cos(W)
Solving for W gives ...
W = arccos((u² +v² -w²)/(2uv))
W = arccos((30² +30² -35²)/(2·30·30)) = arccos(575/1800) ≈ 71.37°
W ≈ 71°
Which simplified fraction is equal to 0.53 with bar?
StartFraction 24 Over 45 EndFraction
StartFraction 8 Over 15 EndFraction
StartFraction 48 Over 90 EndFraction
StartFraction 5 Over 9 EndFraction
Answers
I assume that 0.53 with a bar means the decimal fraction in which 3 is repeating.
24/45, 8/15, and 48/90 all result in the same decimal value. Thus, we are simply looking for the one that is fully simplified.
The correct answer is 8/15.
Hope this helps!
If a=3x^3, b=4x^4, and c=ab^2, then what is the value of bc?
Answers
[tex]a=3x^3\hspace{5em}b=4x^4 \\\\[-0.35em] ~\dotfill\\\\ c=ab^2\implies c=(\underset{a}{3x^3})(\underset{b}{4x^4})^2\implies c=(3x^3)(4^2x^{4\cdot 2}) \\\\\\ c=3x^3\cdot 16x^8\implies c=(3\cdot 16)x^{3+8}\implies c=48x^{11} \\\\[-0.35em] ~\dotfill\\\\ \boxed{bc}\implies (\underset{b}{4x^4})(\underset{c}{48x^{11}})\implies (4\cdot 48)x^{4+11}\implies \boxed{192x^{15}}[/tex]
Answer:
bc = 192x^15
Step-by-step explanation:
Perform substitution as required, then simplify.
Evaluationbc = b(ab^2) = ab^3 = (3x^3)(4x^4)^3 = (3·4^3)(x^3)(x^(4·3))
= 192x^(3+12)
bc = 192x^15
__
Additional comment
The relevant rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
A man made a loss of 15% by selling an article for $595. Find the cost price of the article
Answers
Answer:
$700
Step-by-step explanation:
If he made a loss of 15%, then it means that selling price is 85% of the cost price.
If the cost price is x, then we have;
0.85x = 595
x = 595/0.85
x = $700
Find the conditional probability, in a single roll of two fair 6 sided dive, that the sum is greater than 6, given that neither die is a two
Answers
The conditional probability, in a single roll of two fair 6 sided dice, that the sum is greater than 6, given that neither die is a two : 17/25
We know that the conditional probability is given by,
P(B | A) = probability of occurrence of event B, given that event A has
occurred
= P(A ∩ B) / P(A)
Here, P(A ∩ B) means the probability of happening two events A and B at the same time.
We also know that if P (B | A ) = P(B) i.e., P(A ∩ B) = P(A) × P(B) the two events A and B are independent of each other.
For this question, let the dice D1 and D2 are rolled once.
Let the numbers displayed on the dice be d1 and d2 respectively.
The dice D1 and D2 are independent.
We need to find the conditional probability that the sum is greater than 6, given that neither die is a two.
Let S represents the sum of the numbers displayed on the dice.
S = d1 + d2
The sum is even, if d1 = d2 is odd OR if d1 = d2 is even
P(d1 = even) = 3/6
=1/2
P(d2=even) = 1/2
P(d1 = odd) = 1/2
P(d2 = odd) = 1/2
So, P(S = even) = [P(d1=even) × P(d2 = even)] + [P(d1= odd) × P(d2=odd)]
= [1/2 × 1/2] + [1/2 × 1/2]
= 1/2
So, we can say that, the sum is either even or odd which are equally likely and hence its probability is 1/2.
First we find the probability for the sum is greater than 6 i.e., P(S > 6)
The possible combination of d1 and d2 for the sum greater than 6 would be,
{(1,6), (2,5), (2, 6), (3, 4), (3, 5), (3, 6), (4,3), (4,4), (4,5), (4,6), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
⇒ n(S > 6) = 21
The number of all possible outcomes = 36
So, P(S > 6) = 21/36
= 7/12
Now we find the probability that neither die is a two
⇒ P(neither die is a two) = [P(1) ∪ P(3 ≤ d1 ≤ 6)] AND [P(1) ∪ P(3 ≤ d1 ≤ 6)]
⇒ P(neither die is a two) = 5/6 × 5/6
⇒ P(neither die is a two) = 25/36
Now, we find the probability that the sum S > 6 AND neither die is a two.
The possible combination for the sum S > 6 AND neither die is a two would be,
{(1,6), (3, 4), (3, 5), (3, 6), (4,3), (4,4), (4,5), (4,6), (5,3), (5,4), (5,5), (5,6), (6,1), (6,3), (6,4), (6,5), (6,6)}
⇒ n(S > 6 AND neither die is a two) = 17
So, P(S > 6 AND neither die is a two) = 17/36
Now we find the conditional probability P(S > 6 | neither die is a two)
⇒ P(S > 6 | neither die is a two) = P(S > 6 AND neither die is a two) ÷
(neither die is a two)
⇒ P(S > 6 | neither die is a two) = (17/36) / (25/36)
⇒ P(S > 6 | neither die is a two) = 17/25
Therefore, the conditional probability, in a single roll of two fair 6 sided dice, that the sum is greater than 6, given that neither die is a two : 17/25
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Please answer quickly! Several questions from Algebra 2, on a unit about Sequences and Series, most of these have to do with Arithmetic and Geometric Series-screenshots of the questions are linked below. It would be great if you could include the question # and the answer in the answer section, and then explain it below. Thank you in advance!
Answers
The sum of the geometric series is 2199; option E.
The 36th term of the arithmetic series is -60.5 option CThe sum of the arithmetic series is 2547; option EThe missing geometric sequence are; 1.614375, 3.30946875, 6.7844109375. option EArithmetic and Geometric seriesa1 = 1458r = 1/3a6 = 6S6 = a(rⁿ - 1) / r -1
= 1468(1/3^6 - 1) / (1/3 - 1)
= 1468(0.00137174211248 - 1) / -2/3
= 1468(-0.9986282578875) / -0.66666666666666
= -1,465.98628257885 / -0.66666666666666
= 2198.97942386829
Approximately,
S6 = 2199
Arithmetic series
a36a1 = 27d = -5/2Sn = n/2{2a + (n -1)d}
= 36/2 {2×27 + (36-1)-5/2}
= 18{54 + (35)-5/2}
= 18(54 + 175/2)
= 18(54 + 87.5)
= 18(141.5)
s36 = 2547
a36 = a + (n - 1) d
= 27 + (36 - 1)-5/2
= 27 + (35)-5/2
=27 + -175/2
= 27 - 87.5
= -60.5
S20 = n/2{2a + (n -1)d}
= 20/2{2×27 + (20-1)-5}
= 10(54 + (19)-5)
= 10{54 + (-95)}
= 10(54-95)
= 10(-41)
s20 = -410
Missing terms of the geometric sequence:
nth term = ar^n-1
448/135 = 63/80×r^(6-1)
448/135 = 63/80×r^5
r^5 = 448/135 ÷ 63/80
= 448/135 × 80/63
= 35,840/8,505
r = 5√35,840/5√8505
= 946.57/461.11
r = 2.05
Second term = a×r
= 63/80×2.05
= 1.614375
Third term = ar²
= 63/80×2.05²
= 63/80×4.2025
= 3.30946875
Fourth term = 63/80 × 2.05³
= 63/80×8.615125
= 6.7844109375
Therefore, none of these are correct
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can someone please help me(20 points will give brainliest!!!)
Answers
4 pounds of oranges cost $12. what is the unit price per pound ?
$ 1 per 3 pounds
$ 3 per 1 pound
$6 per 2 pounds
$12 per 4 pounds
Answers
the unit price is $3 per pound, the correct option is the second one.
How to get the unit price of the oranges?
The unit price for the oranges is just the price for one pound of oranges.
Here we know that the price of 4 lb of oranges is $12, with that we want to get the cost of a single lb of oranges, so we can write:
4lb = $12
If we divide both sides by 4, then we get:
4lb/4 = $12/4
1lb = $3
This means that the price of 1 pound of oranges is $3, then the unit price is $3 per pound, the correct option is the second one.
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y = x - 4
2x + y = 5
solve for x and y
Answers
Answer:
X = 2
Y = 1
Step-by-step explanation:
Solve by substitution
[tex]y = x - 4 \\ 2x + y = 5 \\ \\ y = x - 4 \\ 2x - 5 = - y \\ \\ y = x - 4 \\ - y = 2x - 5 \\ \\ add \: the \: two \: equations \\ \\ 0 = 3x - 9 \\ 9 = 3x \\ \frac{9}{3} = \frac{3x}{x} \\ x =3 \\ \\ substitute \: 3 \: for \: x \: in \: one \: of \: the \: equations \: to \: find \: y \\ \\ y = x - 4 \\ y = 3 - 4 \\ y = - 1 \\ \\ solution \: (3. - 1)[/tex]
Jacy has a collection of 140 coins worth $19.00. she has only nickels, dimes, and quarters. the difference in the number of dimes and the number of quarters is 10. using matrices, how many nickels are in jacy’s collection?
Answers
She has 38 nickels
N as the number of nickels, D as the number of dimes, and Q as the number of quarters.
She has 140 coins in total, so we can writen:
N + D + Q = 140.
And the total value is $19.00
Then we have:
N*0.05 + D*0.10 + Q*0.25 = 19
And "The difference in the number of dimes and the number of quarters is 10."
D - Q = 10.
So we have a system of 3 equations and 3 variables:
N + D + Q = 140
N*0.05 + D*0.10 + Q*0.25 = 19
D - Q = 10.
First, let's isolate one of the variables in the third equation, i will isolate D.
D = 10 + Q.
Now we can replace this in the other two equations:
N + (10 + Q) + Q = 140
N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.
Now we can isolate Q in the first equation:
N + 10 + 2*Q = 140
2*Q = 140 - 10 - N
Q = 130/2 - N/2. = 65 - N/2
Now we can replace this in the other equation:
N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19
N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19
Now we can find the number of nickels.
N*0.05 + 1 + 22.75 - N*0.175 = 19
23.75 - N*(0.175 - 0.05) = 19
23.75 - 19 = N*0.125
4.75/0.125 = N
38 = N
She has 38 nickels
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PLEASE HELP a three dight number has one more ten than it has hundreds, and it also has one more than twice as many units as tens the sum of the number and that number reversed is 31 less than 10 cubed find the reverse number
Answers
The reverse number of the three-digit number is 732
How to determine the reverse of the number?Let the three-digit number be xyz.
So, the reverse is zyx
This means that
Number = 100x + 10y + z
Reverse = 100z + 10y + x
From the question, we have the following parameters:
y = x + 1
z = 1 + 2y
The sum is represented as:
100x + 10y + z + 100z + 10y + x = 10^3 - 31
100x + 10y + z + 100z + 10y + x = 969
Evaluate the like terms
101x + 101z + 20y = 969
Substitute y = x + 1
101x + 101z + 20(x + 1) = 969
101x + 101z + 20x + 20 = 969
Evaluate the like terms
101x + 101z + 20x = 949
121x + 101z = 949
Substitute y = x + 1 in z = 1 + 2y
z = 1 + 2(x + 1)
This gives
z = 2x + 3
So, we have:
121x + 101z = 949
121x + 101* (2x + 3) = 949
This gives
121x + 202x + 303 = 949
Evaluate the sum
323x = 646
Divide by 323
x = 2
Substitute x = 2 in z = 2x + 3 and y = x + 1
z = 2*2 + 3 = 7
y = 2 + 1 = 3
So, we have
x = 2
y = 3
z = 7
Recall that
Reverse = 100z + 10y + x
This gives
Reverse = 100*7 + 10*3 + 2
Evaluate
Reverse = 732
Hence, the reverse number of the three-digit number is 732
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Marcus needs to add a query for multiple tables in his database. he is using access 2016. which tab should he use to add the query? home external data create database tools
Answers
He is using Access 2016 Database tools are the tab that should he use for the add a query for multiple tables in his database.
What is In databases?Databases and a desk is hard and fast of records elements (values) the usage of a version of vertical columns (identifiable with the aid of using the name) and horizontal rows, the cell being the unit wherein a row and column intersect.
Tables are database gadgets that incorporate all of the records in a database. In tables, records is logically prepared in a row-and-column layout much like a spreadsheet.
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The above question is incomplete:
Marcus needs to add a query for multiple tables in his database. He is using Access 2016. Which tab should he use
to add the query?
Home
External data
Create
Database tools
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A flat of plants contains 12 plants. yoshi wants a garden that has three rows with 10 plants per row. write and solve an equation for the number of flats yos should buy.
Answers
Yoshi should buy 3 flats.
What is an equation?The equation is a statement of equality between two expressions that contain variables and/or integers. In essence, equations are questions, and the development of mathematics has been driven by efforts to discover systematic answers to those questions.To find how many flats Yoshi should buy:
First, determine how many plants Yoshi requires in total. Multiply 3 by 10 so the garden will have three rows of ten plants each.3 × 10 = 30 total plantsAfter that, divide this value by the number of plants in a flat.30 / 12 = 2.5 flatsIf Yoshi is unable to purchase half the apartments, this figure must be rounded up to 3 flats.Therefore, Yoshi should buy 3 flats.
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My car uses 8.5L of petrol per 100km travelled. If petrol costs $2.05 per litre, how much will the petrol cost for my trip?
Answers
the petrol cost for the trip is:
C = 2.125*$2.05 = $4.36
How to get the cost of the trip?After a search online, I've found that the trip is of 25km.
Here we know that the car uses 8.5L per 100km, then in 25 km, the car will use one-fourth of 8.5L, that is:
8.5L/4 = 2.125L
So the volume of petrol that the car uses for the trio is 2.125 liters of petrol.
And each liter costs $2.05, then the petrol cost for the trip is given by the product between the total volume of petrol consumed and the cost per liter.
C = 2.125*$2.05 = $4.36
Thus, we conclude that the petrol cost for the trip is 4.36 dollars.
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Find the value of x in the given figure
Answers
Answer:
X=36
Step-by-step explanation:
2x + 3x=5x
if given figure is 180 then
5x=180
X=180/5
X=36
If the vertex of a parabola is at the point (-2, 5), then the equation for the axis of symmetry for the parabola is x = -2. True or false?
Answers
Answer:
true
Step-by-step explanation:
thats really it i believe its true
A boat took 4 hours to make a downstream
trip with a current of 6 km/h. The return trip
against the same current took 6 hours. Find
the speed of the boat in still water.
Answers
Answer:
30 km/h
Step-by-step explanation:
Let X km/h be the speed of the boat in still water
Let the distance covered each way be D km
Relative speed of boat downstream = X + 6
Relative speed of boat upstream = X - 6
Distance covered by boat when going downstream
D = 4(X + 6) = 4X + 24
Distance covered by boat upstream is the same as distance covered downstream
D = 6(X-6) = 6X -36
Setting the two X equations equal to each other gives us
6X - 36 = 4X + 24
Collecting like terms
6X - 4X = 24-(-36)
2X = 60
X = 30 km/hr which is the speed of boat in still water
Check
Downstream speed is 30+6 = 36 km/h and distance traveled downstream in 4 hours = 36 x 4 = 144km
Upstream speed is 30-6 = 24 km/h and it travels for 6 hours. Distance covered = 24 x 6 = 144 miles
So distance covered is same and hence check succeeds
if csc(θ)=2 and tan (θ)<0, determine the exact value of cos(θ)
Answers
By trigonometric functions and formulae, we find that the exact value of the cosine function is -√3 / 2.
What is the exact value of a trigonometric function?
In this question we have hints from two trigonometric functions necessary to find the exact value of the cosine function. In accordance with trigonometry, cosecant function is positive and tangent function is negative in the third quadrant of Cartesian plane and therefore the cosine function must be a negative number. Therefore, we can derive the value of the latter function by trigonometric formulas:
cos θ = - √[1 - (1 / csc θ)²]
If we know that csc θ = 2, then the exact of the cosine function is:
cos θ = -√[1 - (1 / 2)²]
cos θ = -√(3 / 4)
cos θ = -√3 / 2
By trigonometric functions and formulae, we find that the exact value of the cosine function is -√3 / 2.
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What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up tails?
Answers
Answer:
give it a try
Step-by-step explanation:
Okay. I'm gonna flip five coins, but I'm told the first coin is Tell there's no choice there at all. It is certain the first coin shows a tail and then I want to have four heads in a row. Okay, so one for tell which means certain getting ahead is a half chance. Again a half chance again a half and again a half So that you work out and it's 1/16. That's the answer. There's no choice about the foreheads. It just has to be head every time I said.
3 rhombi are connected at a point, side by side. All sides are congruent.
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
How much paper does he need for each rhombus?
square inches
If his wall is 11 feet long, how much paper does he use?
square inches
Answers
a. The amount of paper that he is going to need would given as 12 square inches.
b. If it is 11 inches what is needed to cover the wall is given as 396
a. How to solve for the amount of paper neededWe have the area of a rhombus to be given as
0.5 *d1 * d2
We have d1 = 6 inches
d2 = 4 inches
then area would be
0.5 * 6 * 4
= 12 inches
b. The amount of paper used as length is 11 feet long
1 ft = 12 inches
then 11 feet = 11 * 12
= 132
Number needed = 4
132/4 = 33
Then the area would be 33 * 12 inches to cover the wall
= 396
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Answer:
12 and 396
Step-by-step explanation:
13. Check all the true statements.
Answers
Based on the triangle midsegment theorem, the true statements are:
DE║AC
2DE = AC
What is the Triangle Midsegment Theorem?If a line segment joins two sides of triangle and divides them at their midpoint, the divided segments will be congruent, and thus, the line segment joining the two sides is a midsegment of the triangle. According to the triangle midsegment theorem, the midsegment will be parallel to the third side that is not divided and also would be 1/2 its length. That is, the third side is twice the midsegment of that triangle.
In the image given, considering triangle ABC, we can make the following conclusions based on the triangle midsegment theorem:
D and E are midpoints of sides AB and BC respectively because they are divided by segment DE equally.
The midsegment is DE.
DE would be parallel to the third side, line segment AC.
Length of AC would be twice the length of DE
In conclusion, the true statements based on the triangle midsegment theorem are:
DE║AC
2DE = AC
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Write an equation for the
function graphed above
Answers
Answer:
g(x) = (x + 1)² + 1
Step-by-step explanation:
the original function
f(x) = x²
for the new function g(x)
it is shifted 1 unit to the left and 1 unit up.
the shift to the left is done by adding these units to the input variable x :
g(x) = f(x+1) = (x+1)²
that way we get the function value for x+1 already at x :
1 unit "earlier" than in the original.
and the shift up is easy.
whatever the function calculates, we simply add 1 to everything.
the whole curve stays as it is, just one unit higher. g
so, the final g(x) = f(x+1) + 1 = (x + 1)² + 1
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds.
Answers
The domain is the water balloon's height increasing will be (0, 2), staying the same will be (2, 4), decreasing the fastest will be (6, 10), and the height of the water balloon at 16 seconds the will be 0.
What is a slope?A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run or horizontal change.Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates. Find the difference between these two points' x-coordinates. Subtract the difference between the x and y coordinates from the difference between the two.The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds.
Part A:
As seen from the graphic, increase from 0 to 2 sec.
The domain is (0, 2), where the height of the water balloon increases.
Part B:
The water balloon stays the same from 2 to 4 sec.
The field means that the height of the water balloon remains the same (2, 4).
Part C:
Height decreasing fasted at 4 to 6 sec.
Because the slope is steepest downward from 4 to 6 sec as comfort to 6 to 10 sec.
The domain is where the height of the water balloon decreases rapidly (6, 10).
Part D:
The balloon's height will be almost near the ground as resistance will play its role.
But it will almost touch the ground.
The height of the water balloon will be 0 in 16 seconds.
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