Answer:
5 line of symmetry
Step-by-step explanation:
HELP ME ASAP!!! I WILL GIVE MANY POINTS
(a) The radius of the small sphere is 2 centimeters.
(b) The measure of the angle XAB is approximately 36.870°.
(c) The area of the shaded region is approximately 3.107 square centimeters.
How to analyze a geometric system
Herein we have a geometric system formed by three big semicircles and a small circle, whose geometric diagram is attached below. (a) The relationship between the semicircles and the circle is represented by two formulae:
8² + h² = (8 + r)² (1)
h + r = 8 (2)
Where r is the radius of the small circle.
Then, we solve the system:
8² + (8 - r)² = (8 + r)²
64 + 64 - 16 · r + r² = 64 + 16 · r + r²
32 · r = 64
r = 2
The radius of the small sphere is 2 centimeters.
(b) The measure of the angle XAB is found by trigonometric relations:
cos m ∠ XAB = OA / AX
cos m ∠ XAB = 8 / 10
m ∠ XAB ≈ 36.870°
The measure of the angle XAB is approximately 36.870°.
(c) The area of the shaded region is the area of the triangle minus the area of the three circular sections:
A = 0.5 · (16 cm) · (10 cm) · sin 36.870° - (36.870° /180) · π · (8 cm)² - 0.5 · (106.260° / 180) · π · (2 cm)²
A ≈ 3.107 cm²
The area of the shaded region is approximately 3.107 square centimeters.
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Solve the problems involving (HCF) highest common factor for each of the the following
B) A restaurant donated 540 pieces of fried chicken and 360 cups of drink for a gathering event. The restaurant has set the condition the every visitor will receive the portion of food equally. Find :
(1) Find the maximum number of visitors that can be invited to the event.
(2) Find the numbers of pieces of chicken to be received by the visitors who attended the event.
Step-by-step explanation:
the highest or greatest or largest common factor is the product of the prime factors the numbers have in common :
540 ÷ 2 = 270
270 ÷ 2 = 135
135 ÷ 2 no
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 3 no
5 ÷ 5 = 1
540 = 2² × 3³ × 5¹
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 2 no
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 3 no
5 ÷ 5 = 1
360 = 2³ × 3² × 5¹
so, the HCF = 2² × 3² × 5¹ = 4×9×5 = 180
(1)
to satisfy the condition max. 180 visitors can be invited.
(2)
540 / 180 = 3
so, every visitor can receive 3 pieces of chicken.
and 360 / 180 = 2 cups of drink.
Find the value of the indicated variable.
102 degrees
Step-by-step explanation:
Angles in a quadrilateral add to 360 degrees.
y = 360 - (120 + 85 + 53)
y = 360 - 258
y = 102 degrees
One large jar and five small jars can hold 26 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Use the given matrix equation to solve for the number of ounces of jam that each jar can hold. Explain the steps that you took to solve this problem.
A matrix with 2 rows and 2 columns, where row 1 is 1 and 5 and row 2 is 1 and negative 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is l and row 2 is s, equals a matrix with 2 rows and 1 column, where row 1 is 26 and row 2 is 2.
Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable l: Weight that a large jar holds.Variable s: Weight that a small jar holds.One large jar and five small jars can hold 26 ounces of jam, hence:
l + 5s = 26, which is the first equation in matrix form.
Then:
l = 26 - 5s.
One large jar minus one small jar can hold 2 ounces of jam, hence:
l - s = 2, which is the second equation in matrix form:
Then:
l = 2 + s = 26 - 5s
2 + s = 26 - 5s
6s = 24
s = 4.
l = 26 - 5s = 6.
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drake has 7 song that he choose to sing in the shower each day of the week, one song per day. If he never sings the same song twice in week, how many different ways can he choose his song throughout the week?
Answer:
5040 ways
Step-by-step explanation:
7! = 5040
7 choices on day 1
6 choices on day 2
5 choices on day 3
4 choices on day 4
3
2
1 7 x 6 x 5 x 4 x 3 x 2 x1 = 5040
Please help!! Which figures demonstrate a single translation?
Select each correct answer.
Answer:
the top 2 and the left bottom corner
Step-by-step explanation:
the first one in the first row is a reflection
the second one in the first row is a rotation
the one on the left bottom corner just moved a unit
Answer:
Option 3
Step-by-step explanation:
The first answer is a reflection across the y-axis, the second is a rotation, and the last one is two translations. So, the third one is correct because it's the only single translation.
A weather balloon holds 2,600 cubic meters of helium. the density of helium is 0.1755 kilograms per cubic meter. how many kilograms of helium does the balloon contain? please round your answer to the nearest whole number. only enter a numerical value in the answer blank.
Answer:
456 kg
Step-by-step explanation:
Mass is the product of volume and density.
Mass of HeThe product of volume and density is ...
M = Vρ
M = (2600 m³)(0.1755 kg/m³) ≈ 456 kg
The balloon contains about 456 kg of He.
4/5 + 9/10 what is this answer?
[tex]\boldsymbol{\sf{\dfrac{4}{5}+\dfrac{9}{10} } }[/tex]
The least common multiple of 5 and 10 is 10. Convert 4/5 and 9/10 to fractions with denominators of 10.
[tex]\boldsymbol{\sf{\dfrac{4\times2}{5\times2}+\dfrac{9}{10} \ \ \to \ \ Simplify }}[/tex]
[tex]\boldsymbol{\sf{ \dfrac{8}{10}+\dfrac{9}{10} }}[/tex]
Since 8/10 and 9/10 have the same denominator, join their numerators to add them.
[tex]\boldsymbol{ \sf{\dfrac{8+9}{10} \ \to \ \ Add }}[/tex]
Simplify
[tex]\boldsymbol{\sf{ \dfrac{17}{10}= }}\boxed{\boldsymbol{\sf{1\frac{7}{10} }}}[/tex]
Garland has 9/10
of a pizza, the pizza needs to be equally divided between garland and her five friends. What fraction
of the pizza will each friend get?
Answer:
9/50
Step-by-step explanation:
We simply divide the pizza we have (9/10) by the number of friends (5):
9/10 : 5 = 9/50
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
B
Step-by-step explanation:
If x and y vary inversely, then as x increases, y decreases. That eliminates answers A, C, and D.
Answer: B
Mathematics Literacy Graphs Question 1 Homework
1. Independent Variable (x) is the number of toys.
Dependent Variable (y) is the amount.
2. Graph A - Income Graph.
Graph B - Expense Graph.
3. Zandi won't make a profit while selling 5 toys.
4. Zandi must sell 10 toys to reach break-even.
5. Zandi's variable cost per toy is $15.
6. The total cost function is, total cost = 100 + 15x.
1. The independent variable will be the number number of toys marked on the x-axis, whereas the dependent variable will be the amount on the y-axis, as the cost and revenue both depend on the units.
2. Graph A will be Zandi's income as when the unit is 0, the income is 0, whereas graph B is the expense graph as when the unit is 0, still some fixed expenses are generated for example rent.
3. Zandi will make a loss while making and selling 5 toys as the amount on graph B corresponding to 5 toys, that is, the expenses, are greater than the amount on graph A corresponding to 5 toys, that is, the income.
4. The break-even is the point where the income = expense, which on the graph is at the point where the number of toys is 10.
Thus, Zandi must sell 10 boys to reach break even.
5. The variable cost per toy can be found as the slope of the expense graph, m = (400 - 100)/(20 - 0) = 300/20 = 15.
Thus, Zandi's variable cost is $15.
6. Total cost = Fixed cost + a number of units*variable costs.
Thus, the total cost = 100 + 15x.
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! What are modern numbers? and how are they used?
Modern numbers are the ten numerical digits used in constructing other numbers.
What are modern numbers?Modern numbers are also called Arabic numerals. They are the ten numerical digits:
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
Uses of modern numbers;
They are used as symbols to write decimal numbers.They are used in writing numbers in other systems like the octal, and for writing identifiers such as computer symbols, trademarks, or license plates.They are used in constructing other numbers.Hence, modern numbers are the ten numerical digits used in constructing other numbers.
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Kenton watched 2000 adult men and women board a cruise ship. half of the adults were women. if 20$\%$ of the women and 9$\%$ of the men were wearing sunglasses, what was the total number of men and women wearing sunglasses?
Total number of men and women wearing sunglasses = 290
According to the question,
Total number of men and women = 2000
half of the adults were women = 1/2 × 2000
Number of women = 1000
Number of men = (Total adults) - (Number of women )
Number of men = 2000 - 1000
= 1000
given,
20% of women were wearing sunglasses = 20/100 × 1000
= 200
9% of men were wearing sunglasses = 9/100 × 1000
= 90
Total number of adults wearing glasses = 200 + 90
= 290
What is the percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction.
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From the table, calculate the mean score.
Scores 0—4 5—9 10—14
Frequency 2 1 2
Answer:
7.
Step-by-step explanation:
Calculate the means for each group:
mean of 0-4 is 2
mean of 5-9 is 7
mean of 10-14 is 12
Mean = (Sum of frequencies * mean) / sum of frequencies
= required mean = [ (2(2) + 1(7) + 2(12)] / (2+1+2)
= 35/ 5
= 7.
Thirteen-year-old noel was taking her algebra test but was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" this is an example of?
The concept exhibited by the thirteen year old who was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" is an example of; Intuitive thought.
What is the concept exhibited by the thirteen year old as given in the task content?It follows from the task content that the thirteen year old was unsure of one of her responses. she decided to go with the answer that felt the ""most right."".
Such concept may be attributed to Intuitive thought.
This follows from the fact that the internal impulse which prompts individuals to make decisions is termed; Intuition.
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Exponential Decay
Find f(3), where f(x) = 2x(1/2)^x
f(x) = 2 * (1/2)^x
f(3) = 2 * (1/2)^3
f(3) = 2 * (1/2 * 1/2 * 1/2)
f(3) = 2 * 1/8
f(3) = 2/8
f(3) = 1/4
Hope this helps!
Answer:
[tex]f(x) = 2 \times ( { \frac{1}{2} })^{x} \\ \\ f(3) = 2 \times ({ \frac{1}{2}})^{3} \\ \\ = 2 \times \frac{1}{8} \\ \\ f(3) = \frac{1}{4} = 0.25[/tex]
Question 2(Multiple Choice Worth 2 points)
Based on the graphs of the equations y = -2x + 3 and y=x²-x + 1, the solutions are located at points?
Based on the given graphs and their equations, the solutions will be located at points (-2, 7) and (0, 1).
Where are solutions located?To find the solution to y = -2x+ 3, assume that x is a certain number then solve for y.
Given the options, we can assume that x = -2. Solution is:
= -2(-2) + 3
= 4 + 3
y = 7
Solution point is (-2, 7)
The second equation can be solved by equating x to 0:
y = 0² - 0 + 1
y = 1
Solution point is:
= (0, 1)
In conclusion, the solution points are (-2, 7) and (0,1).
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The youth group is going on a trip to the State Fair trip cost 63 dollars included in that price is 13 dollars for a concert ticket in the cost of 2 passes, one for the rides and one for the game booth. Each of the passes cost the same price, write an equation representing the cost of the trip, and determine the price of one pass, solve your equation by showing your work and steps.
Answer:
The cost of one pass is 25$
Step-by-step explanation:
Call the cost of one of the passes, P. So we have
63 = 13 + 2P - subtract 13 from both sides
50 = 2P - divide both sides by 2
25 = P
So the cost of one pass = $25
What is the greatest possible error if irina measured the length of her window as 3.35 feet? 0.5 0.05 0.005 0.0005
3.35 feet have a maximum inaccuracy of 0.005 feet.
The correct option is C.
What is error analysis?When students consistently commit mistakes, an approach known as error analysis is frequently employed to determine the root of the problem. Reviewing student work is the first step in the process, after which misunderstood patterns are sought out. Mathematics mistakes can be conceptual, procedural, or factual, and they can happen for a variety of reasons.
Given:The window is 3.35 feet long.
Find the biggest error you can
According to the given data:Half of the measuring unit is considered to be the maximum amount of measurement error.
3.35 feet are calculated to the nearest centimeter, or 0.01 feet
Consequently, the largest conceivable error is equal to half of the measurement unit.
= .01/2
= .005
Therefore, the maximum inaccuracy for 3.35 feet is 0.005 feet.
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Students are measuring various objects around the classroom. A pencil measures 8 ⅜ inches while a pair of scissors measures 5 ½ inches. How much longer is the pencil than the pair of scissors?
The pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
A pencil measures [tex]8\frac{3}{8}[/tex] inches.
A pair of scissors measures [tex]5\frac{1}{2}[/tex] inches.
We need to find the difference between the measures of a pencil and the scissors.
We see that the pencil measure is greater than the pair of scissors.
What is a mix fraction?A fraction is a part of a whole number. It has two parts - numerator and denominator.
Example: If you cut a cake into three slices each slice is 1/3.
Where 1 = numerator and 3 = denominator.
Four types of fractions:
Unit fraction - when the numerator is 1.
Proper fraction - When the numerator is less than the denominator.
Improper fraction - When the numerator is greater than the denominator.
Mixed fraction - When the fraction contains a whole number with a proper fraction.
Example: [tex]3\frac{1}{3}[/tex]
The given measure of the pen and the pair of scissors is in mix fraction.
The pencil measure is longer than the pair of scissors measure so,
We will subtract the measure of the pair of scissors from the measure of the pen.
We have,
= [tex]8\frac{3}{8} - 5\frac{1}{2}[/tex]
We can write the mix fraction into an improper fraction.
We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.
So,
[tex]8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}[/tex]
= 67/8 - 11/2
= (67-44) / 8
= 23 / 8
Writing in mix fraction.
= [tex]2\frac{7}{8}[/tex]
Thus the pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
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Please help with all 3 And explain it please so I understand ty
A simultaneous equation refers to two or more equations that are solved at the same time.
What is a simultaneous equation?A simultaneous equation refers to two or more equations that are solved at the same time. Now we shall solve each of the equations;
a. 2x + y = 3 ------(1)
x - y = 4 ------ (2)
x = 4 + y ----- (3)
Substituting (3) into (1)
2(4 + y) + y = 3
8 + 2y + y = 3
8 + 3y = 3
3y = 3 - 8
3y = -5
y = -5/3
Hence;
x - y = 4
x - (-5/3) = 4
x = 4 + 5/3
x = 17/3
b. 2x + 6y =9 -----(1)
x + 3y = 2 ------ (2)
x = 2 - 3y ------ (3)
Substitute (3) into (1)
2( 2 - 3y) + 6y =9
4 - 6y + 6y = 9 (From this stage we can see that it is not possible to solve the quadratic)
c. 6x - 3y = 12 -----(1)
4x + 2y = 10 ---- (2)
12x - 6y = 24 ---- (3)
12x + 6y = 30 --- (4)
Add (3) to (4)
24x = 54
x= 54/24 = 9/4
Hence;
4(9/4) + 2y = 10
9 + 2y = 10
2y = 10 - 9
y = 1/2
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DOES ANYONE KNOW THE ANSWER TO QUESTION 6
Answer:
HL
Step-by-step explanation:
The hypotenuses and the long legs of the right triangles are congruent, therefore using the rule HL, the triangles are congruent.
A binomial probability experiment is conducted with the given parameters. compute the probability of x successes in the n independent trials of the experiment. n=9, p=0. 3,
If the probability of obtaining success is 0.3 and the value of n is 9 then the probability at the value of x be 3 is 0.3811.
Given that the value of n is 9 and the value of p is 0.3.
We are required to find the probability when the value of x is equal to 3.
Probability is the calculation of chance of happening an event among all the events possible.It lies between 0 and 1.
Probability=Number of items/total items.
Binomial probability is basically the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes.
[tex](a+b)^{n}[/tex]=[tex]nC_{0}a^{0} b^{n-0} +nC_{1}a^{1} b^{n-1} +................nC_{n}a^{n} b^{0}[/tex]
We have to find the value when n=9, p is 0.3 and r=3.
=[tex]9C_{3} (0.3)^{3} (1-0.3)^{6}[/tex]
=9!/3!6!*0.027*0.16807
=84*0.00453789
=0.381182
Hence if the probability of obtaining success is 0.3 and the value of n is 9 then the probability at the value of x be 3 is 0.3811.
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3. What kind of triangle is represented by the triangle shown below?
Isosceles
Right
O Equilateral
Scalene
Answer:
c
Step-by-step explanation:
In geometry, an equilateral triangle is a triangle in which all three sides have the same length.
how do i graph a rational function in the form t=d/s? as an example i have to graph t=616.5km/40km/h, t=616.5km/25km/h, and t=616.5km/60km/h. any help would be greatly appreciated, i'll rank you brainliest if you help me
By finding some points on the curve and then connecting them.
How to graph the rational function?
Here we have the rational function:
t = d/s
Where t represents time, d distance, and s speed.
We assume that d is a fixed value, then our variables are time and speed.
On the examples, you can see that the value of d is:
d = 616.5km, then we just need to graph the equation:
t = (616.5km)/s
To do so, you can evaluate the function in different values of s, like the points the problem asks to graph, and then connect all these points with a curve.
Doing that, you should get a graph like the one below:
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What is the equation of the line that passes through the point (-5, -3) and has a
slope of -3?
Answer: y=-3m+13
Step-by-step explanation:
y=mx+c
m is the gradient
y=-3x+c
We know one point
-2=3(-5)+c
Solve for c
-2=-15+c
13=c
y=-3m+13
I need help with this please and thank you.
Answer: I believe the answer would be as follows:
8.431 grams
5.46 seconds
980 meters
900 miles
Step-by-step explanation:
it would first be which has the largest number after the decimal point, so if there’s three it goes first (0.12*3*). Then you would pick the one that is the smallest form of measurement, which would be meters in this case.
Hope this helped!
Please help me solve this, random answers will be removed
Answer:
m∠B ≈ 70.8°
Step-by-step explanation:
The Law of Cosines relates three sides of a triangle and the angle opposite one of them.
SetupThe law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Solving for angle B, we get ...
B = arccos((a² +c² -b²)/(2ac))
where 'a' and 'c' are the sides adjacent to the angle of interest. We want angle B, so we can fill this formula as follows:
B = arccos((13² +11² -14²)/(2·13·11))
SolutionB = arccos(94/286)
B ≈ 70.812°
__
Additional comment
Another angle can be found using the Law of Sines.
A = arcsin(sin(70.812°)×13/14) ≈ 61.281°
Then angle C is ...
C = 180° -70.812° -61.281° = 47.907°
A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:
rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 8 ft and width of 4 ft, the rest of the rectangle is labeled floor
Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).
The correct equation that shows the area of painted area is
A=[tex]x^{2} -8x-16[/tex].
Given that the length of the floor,x,is atleast 12 feet.The width of the floor is 4 feet less than the length.There is a right angle of height x-4 and base 8 feet. The rectangle inside has length of 8 feet and width be 4 feet.
We are required to find the painted area of the theater room in square feet.
To find the painted area of the theater the following steps must be followed:
1) Find the area of the theater room.
length =x
Breadth=x-4
Area=x(x-4)
=[tex]x^{2} -4x[/tex]
2) Area of the right triangle.
Height=x-4
Base=8
Area=1/2 *8*(x-4)
=4(x-4)
=4x-16
3) Find the area of the rectangle inside labeled closet.
Length=8
Width=4
Area=8*4
=32
Area=Area of theater room-Area of of right triangle-Area of closet.
=[tex]x^{2} -4x[/tex]-4x+16-32
=[tex]x^{2} -8x-16[/tex]
Hence the correct equation that shows the area of painted area is
A=[tex]x^{2} -8x-16[/tex].
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Answer:
A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
Work:
x = length, making the width (x-4)
The stage closet will be (x-4)(8)(1/2)
The rectangle is 7(3)
which makes the painted area x(x-4) - 4(x-4)
thus giving us
x(x − 4) − 0.5(8)(x − 4) − 3(7)
Step-by-step explanation:
hope this helps :)
Find an equation for the conic that satisfies the given conditions. parabola, focus (−8, 0), directrix x = 2
The equation of the given parabola is y2=−20(x+3)
A parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
In general in a parabola, if we have
(y−n)2=4p(x−m),
then the vertex is (m,n)
The axis of symmetry is y=m
The focus is (p+m,n)
The directrix is x=m−p.
Hence, for the given case
p+m=−8
n=0
m−p=2
⇒n=0
m=−3
p=−5
So, the answer will be y2=−20(x+3)
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