Answers
Answer:
Point A: (2, 10)
Point B: (-3, 0)
Point C: (-5, -4)
Point D: (-5, -32)
Step-by-step explanation:
Part (a)Points A and B are the points of intersection between the two graphs.
Therefore, to find the x-values of the points of intersection, substitute one equation into the other and solve for x:
[tex]\implies 2x+6=-2x^2+18[/tex]
[tex]\implies 2x^2+2x-12=0[/tex]
[tex]\implies 2(x^2+x-6)=0[/tex]
[tex]\implies x^2+x-6=0[/tex]
[tex]\implies x^2+3x-2x-6=0[/tex]
[tex]\implies x(x+3)-2(x+3)=0[/tex]
[tex]\implies (x-2)(x+3)=0[/tex]
[tex]\implies x=2, -3[/tex]
From inspection of the graph:
The x-value of point A is positive ⇒ x = 2The x-value of point B is negative ⇒ x = -3To find the y-values, substitute the found x-values into either of the equations:
[tex]\begin{aligned} \textsf{Point A}: \quad 2x+6 & =y\\2(2)+6 & =10\\ \implies & (2, 10)\end{aligned}[/tex]
[tex]\begin{aligned} \textsf{Point B}: \quad -2x^2+18 & =y\\-2(-3)^2+18 & =0\\ \implies & (-3,0)\end{aligned}[/tex]
Therefore, point A is (2, 10) and point B is (-3, 0).
Part (b)If the distance between points C and D is 28 units, the y-value of point D will be 28 less than the y-value of point C. The x-values of the two points are the same.
Therefore:
[tex]\textsf{Equation 1}: \quad y=2x+6[/tex]
[tex]\textsf{Equation 2}: \quad y-28=-2x^2+18[/tex]
As the x-values are the same, substitute the first equation into the second equation and solve for x to find the x-value of points C and D:
[tex]\implies 2x+6-28=-2x^2+18[/tex]
[tex]\implies 2x^2+2x-40=0[/tex]
[tex]\implies 2(x^2+x-20)=0[/tex]
[tex]\implies x^2+x-20=0[/tex]
[tex]\implies x^2+5x-4x-20=0[/tex]
[tex]\implies x(x+5)-4(x+5)=0[/tex]
[tex]\implies (x-4)(x+5)=0[/tex]
[tex]\implies x=4,-5[/tex]
From inspection of the given graph, the x-value of points C and D is negative, therefore x = -5.
To find the y-value of points C and D, substitute the found value of x into the two original equations of the lines:
[tex]\begin{aligned} \textsf{Point C}: \quad 2x+6 & =y\\2(-5)+6 & =-4\\ \implies & (-5,-4)\end{aligned}[/tex]
[tex]\begin{aligned} \textsf{Point D}: \quad -2x^2+18 & = y \\ -2(-5)^2+18 & =-32\\ \implies & (-5, -32)\end{aligned}[/tex]
Therefore, point C is (-5, -4) and point D is (-5, -32).
Answer:
a) A = (2, 10) and B = (-3, 0)
b) C = (-5, -4) and D = (-5, -32)
Explanation:
a) To determine the coordinates of A and B, find the intersection points of the line "y = 2x + 6" and curve "y = -2x² + 18".
Solve the equation's simultaneously:
y = y
⇒ 2x + 6 = -2x² + 18
⇒ 2x² + 2x + 6 - 18 = 0
⇒ 2x² + 2x - 12= 0
⇒ 2x² + 6x - 4x - 12 = 0
⇒ 2x(x + 3) - 4(x + 3) = 0
⇒ (2x - 4)(x + 3) = 0
⇒ 2x - 4 = 0, x + 3 = 0
⇒ x = 2, x = -3
Then find value of y at this x points,
at x = 2, y = 2(2) + 6 = 10
at x = -3, y = 2(-3) + 6 = 0
Intersection points: A(2, 10) and B(-3, 0)
b) Given that CD = 28 units. Also stated parallel to y axis so x coordinates for both will be same but differ in y coordinate.
[tex]2x + 6 = -2x^2 + 18 + 28[/tex]
[tex]-2x^2 + 18 + 28-2x - 6 = 0[/tex]
[tex]-2x^2-2x+40=0[/tex]
[tex]-2x^2-10x+8x+40=0[/tex]
[tex]-2(x+5)+8(x+5)=0[/tex]
[tex](-2x+8)(x+5)=0[/tex]
[tex]x = -5, 4[/tex]
[tex]\leftrightarrow \sf C(-5, y_2), \ D(-5, y_2)[/tex]
Find y value for Point C : 2x + 6 = 2(-5) + 6 = -4
Find y value for Point D : -2x² + 18 = -2(-5)² + 18 = -32
[tex]\sf \rightarrow Point \ C = (-5, -4)\\ \\\rightarrow Point \ D = (-5, -32)[/tex]
Related Questions
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 25 m/s . The ball's height h (in meters) after t seconds is given by the following.
Answers
The value of values of t for which the ball's height is 7 meters then is 4.79secs.
What is velocity?Velocity can be regarded as a vector measurement of the rate as well as direction of motion.
It is the the speed at which something moves in one direction and with the given velocity, the time as well as the distance can be calculated as :
Given:
h=2+25t-5t^2
But h=7
Then 2+25t-5t^2=7
-5t^2++25t +2-7=0
-5t^2+25t -5=0
we can then factorize as :
-5(t^2+5t -1)=0
Solving the equation using quadratic formula, the the roots of equations are: 4.79 and -5.0
The value of values of t for which the ball's height is 7 meters then is 4.79secs.
Learn more about Velocity at;
https://brainly.com/question/6504879
#SPJ1
COMPLETE QUESTION :
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 25 m/s . The ball's height h (in meters) after t seconds is given by the following. h=2+25t-5t^2
Find all values of t for which the ball's height is 7 meters.
Round your answer(s) to the nearest hundredth.
23. What would be the location of the vertex (3, 4) if it were reflected across
the y-axis?
A. (3,-4)
B. (-3, 4)
C. (4, -3)
D. (-4, 3)
Answers
I hope that this helps! :)
Reason
The rule for a reflection over the y -axis is (x,y)→(−x,y) . So from x to -x (-3) and y stays the same (4)
I need help with the problem
Answers
Answer:
you better give me brainliest
Step-by-step explanation:
The answer is the first two
A bookstore carries 48 magazines. 75% of the magazines are women's magazines. How many women's magazines does the bookstore carry?
Answers
Answer:
36
Step-by-step explanation:
75/100
75/100=0.75
0.75*48 =36
If a translation maps point A(-3,1) to point A′(5,5), the translation is:
A. (x+2,y+4)
B. (x+8,y+6)
C. (x+2,y+6)
D. (x+8,y+4)
Answers
Answer:
D is the correct answer -3+8=5 ,1+4=5
solve the system of equations using substitution
Answers
The solution to the given simultaneous equation; x + 2y = -4, 2x + 5y = 1 using substitution method is x = -22 and y = 9
Simultaneous equationx + 2y = -4
2x + 5y = 1
Using Substitution method
From equation (1)
x = -4 - 2y
Substitute x = -4 - 2y into equation (2)
2x + 5y = 1
2(-4 - 2y) + 5y = 1
-8 - 4y + 5y = 1
- 4y + 5y = 1 + 8
y = 9
Substitute y = 9 into
x + 2y = -4
x + 2(9) = -4
x + 18 = -4
x = -4 - 18
x = - 22
Therefore, the solution to the given simultaneous equation; x + 2y = -4, 2x + 5y = 1 using substitution method is x = -22 and y = 9
Learn more about simultaneous equation:
https://brainly.com/question/16863577
#SPJ1
create a pattern of 6 numbers by multiplying a number by 5 to get the next number.starts with 4
Answers
Answer:
45 405 415 425 435 445
Step-by-step explanation:
this are the pattern of 6 numbers multiplying by number 5 to get the number starts with 4
Answer:
4,20,100,500,1500,8500.
Step-by-step explanation:
the first term of a geometric sequence is 400 and the common ratio is 0.5. what is the 5th term of the sequence.
Answers
Answer:
25
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
a = first termr = common ratio[tex]a_n[/tex] = nth termGiven values:
a = 400r = 0.5n = 5Substitute the given values into the formula and solve:
[tex]\implies a_5=400(0.5)^{5-1}[/tex]
[tex]\implies a_5=400(0.5)^{4}[/tex]
[tex]\implies a_5=400(0.0625)[/tex]
[tex]\implies a_5=25[/tex]
Learn more about geometric sequences here:
https://brainly.com/question/27783194
https://brainly.com/question/25398220
He wants to earn 481$ By mowing lawns and he charge $22 for each long what is the maximum number of lungs that he needs to mow to reach his goal of $481
Answers
[tex]\stackrel{\stackrel{total~amount}{goal}}{481}~~ = ~~22(lawn)\implies \cfrac{481}{22}=lawn\implies \stackrel{rounded}{22}\approx lawn[/tex]
You are currently evaluating your business and trying to decide how much you need to sell to make a profit. Choose one of the following options for your cost and revenue functions. The variable, x, represents the number of units sold.
c(x)=300+260x
r(x)=300x-xsquared
For the option you chose, find the value(s) of x (the number of units sold) to break-even. Show all your work by typing it in or uploading a picture of your handwritten work. What is your profit function, P(x)? What is your profit when you sell 10 more than a break-even point? Is that what you expected? Show all your work
Answers
From the given functions, of the cost, c(x) = 300 + 260•x, and revenue, r(x) = 300•x - x², we have;
First part;
The values of x to break-even are;
x = 30, or x = 10
Second part;
The profit function, P(x) is presented as follows;
P(x) = x•(40 - x) - 300
Third part;
The profit (loss) when 10 more units is sold than the break-even point, x = 30 is -($300) unexpected The profit when 10 more units is sold than the break-even point, x = 10 is $100How can the given functions be used to find the profit made?The cost is c(x) = 300 + 260•x
Revenue is r(x) = 300•x - x²
First part;
At the break even point, we have;
c(x) = r(x)Which gives;
300 + 260•x = 300•x - x²
x² + 260•x - 300•x + 300 = 0
x² - 40•x + 300 = 0Factoring the above quadratic equation gives;
x² - 40•x + 300 = (x - 30)•(x - 10) = 0
At the break even point, x = 30, or x = 10
The values of x at the break even point are;
x = 30 units soldx = 10 units soldSecond part;
Profit = Revenue - Cost
The profit function, P(x), is therefore;
P(x) = r(x) - c(x)
Which gives;
P(x) = (300•x - x²) - (300 + 260•x)
P(x) = 300•x - x² - 300 - 260•x
P(x) = 300•x - 260•x - x² - 300
P(x) = 40•x - x² - 300
The profit function is therefore;
P(x) = x•(40 - x) - 300Third part;
When 10 more units are sold than the break even point, we have;
x = 30 + 10 = 40 or x = 10 + 10 = 20
The profit at x = 40 or x = 20 are;
P(40) = 40•(40 - 40) - 300 = -300
P(40) = -($300)When the number of units sold, x = 40, the profit is, P(40) = -($300) unexpected loss
The profit (loss) when the number of units sold increases to 40, of -($300) is unexpected.At x = 20, we have;
P(20) = 20•(40 - 20) - 300 = 100
P(20) = $100When the number of units sold, x = 20, the profit is, P(20) = $100Learn more about functions here:
https://brainly.com/question/88581
#SPJ1
Briana received a 10-year subsidized student loan of $26,000 at an annual interest rate of 4.125%. Determine her monthly payment (in dollars) on the loan after she graduates in 2 years. (Round your answer to the nearest cent.)
Answers
Answer:
$264.78
Step-by-step explanation:
The government pays the interest on Briana's loan while she is in school. Her monthly payments will be for a loan of $26,000. The amount of the payment can be found from the amortization formula, or using a calculator or spreadsheet.
Payment amountFor a loan of principal amount P at annual rate r for t years, the monthly payment is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) = $26000(0.04125/12)/(1 -(1 +0.04125/12)^(-120)) = $264.78
Briana's monthly payment after she graduates is $264.78.
Find the experimental probability that only 2
of 4 children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHH HTTH TTTT THTT HTHT
HHTT HHHT THHT
TTHH
HTTT HTHT TTHH THTH HTHH
TTHT HTTT HTHT HHHT HHHH
HTTH
Experimental Probability = [?]%
Answers
The experimental probability that only 2 of 4 children in a family are boys is 50%.
What is experimental probability?Experimental probability refers to the chance of an expected success being achieved in a series of experiments conducted.
Experimental probability is the number of times that the expected success occurs as a fraction of the total number of times the experiment was conducted.
Like all probabilities, the experimental probability is based on the likelihood that what the experimenter expects is achieved.
Expected number of boys = 2
The number of children in the family = 4
Experimental probability = 50% (2/4 x 100)
Thus, we can conclude, based on the experimental probability, that 50% (or 2) of the 4 children in the family are boys.
Learn more about experimental probabilities at https://brainly.com/question/8652467
#SPJ1
Answer:
15%
Step-by-step explanation:
Step 1: Count samples with one H
Why; Only 1 of 4 children in families are boys. The problem is simulated with samples.
Step 2: Count samples with only one H.
Why; The H represents the one boy in the family.
Step 3: Add the samples you counted with one H.
Answer: Your answer should be 3/20 after you change it into a percentage your final answer is 15%
Knowing the first day Anna and Tamara stop for sightseeing and lost 2 hours of travel time and the second day, they gain 1 hour because they did not stop for lunch, write an algebraic expression that represents how many hours Anna and Tamara traveled the first two days. Let x be the number of hours driven.
Answers
The algebraic expression that represents the number of hours Anna and Tamara traveled the first two days is (2x - 1) hours.
How to write Algebraic Word Problems?
We are told that;
On the first day, Anna and Tamara stop for sightseeing and lost 2 hours of travel time.
On the second day, they did not stop for lunch and gained 1 hour.
Now, we are told that x is the number of hours driven per day. Thus, for two days, number of hours driven is expressed as 2x.
Now, since they lost 2 hours on the first day, then total hours travelled is;
2x - 2 hours
On the second day, they gained 1 hour. Thus;
Final total number of hours traveled = 2x - 2 + 1
Final total number of hours traveled = (2x - 1) hours
Thus, we can conclude that the algebraic expression that represents how many hours Anna and Tamara traveled the first two days is (2x - 1) hours.
Read more about Algebraic Word Problems at; https://brainly.com/question/13818690
#SPJ1
12. The base of a triangle with an area of 36 squared inches is 4.2 inches. What is the area of a similar
triangle whose base measures 5.6 inches?
Answers
The 4.2 inches base length and 36 in.² area of the given triangle and the 5.6 inches base length of the similar triangle gives the area of the similar triangle as 64 square inches
Which method can be used to find the area of the similar triangle given the dimensions?Area of a triangle = (Base length × Height)/2
Area of the given triangle = 36 in.²
Base length of the given triangle = 4.2 inches
Base length of the similar triangle = 5.6 inches
Therefore;
Area of the given triangle = (Base length × Height)/2
Which gives;
36 = (4.2 × h)/2
Where;
h = Height of the given triangle
36 × 2 = 4.2 × h
[tex]h = \mathbf{\frac{36 \times 2}{4.2}} = 17 \frac{1}{7} [/tex]
Height of the given triangle, h = 17+ 1/7
The ratio of corresponding sides of similar triangles are the same, which gives;
[tex] \frac{5.6}{4.2} = \frac{h'}{17 \frac{1}{7}} [/tex]
Where;
h' = The height of the similar triangle
Which gives;
[tex] h' = \frac{5.6}{4.2} \times 17 \frac{1}{7} = 22 \frac{6}{7} [/tex]
The area, A', of the similar triangle is therefore;
[tex] A' = \frac{1}{2} \times 5.6 \times 22 \frac{6}{7} = 64 [/tex]
The area of the similar triangle A' = 64 in.²The area can also be obtained using the scale factor of area as follows;
(4.2/5.6)² = 36/A'Which gives;
A' = 64 square inchesLearn more about scale factors of calculations here:
https://brainly.com/question/25722260
#SPJ1
ASAP help me with this question <3 number 12
Answers
Answer:
False
Step-by-step explanation:
Consider an isoscles trapezoid with angles 75° and 105°.
If one angle in a parallelogram is a right angle prove the other are the same.
Answers
Answer: If one angle of a parallelogram is a right angle, then all other angles would also be right angles and the parallelogram would be a rectangle.
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measure.
m∠1=(50x−50)∘, m∠2=(20x+70)∘
Alt. Ext. ∠s Thm.
m∠1 = 130°, m∠2 = 130°
Same-Side Int. ∠s Thm.
m∠1 = 130°, m∠2 = 130°
Alt. Int. ∠s Thm.
m∠1 = 150°, m∠2 = 150°
Corr. ∠s Post.
m∠1 = 150°, m∠2 = 150°
Answers
The theorem used and the angle measures are:
D. corresponding angles postulate
m∠1 = 150°, m∠2 = 150°
What is the Corresponding Angles Postulate?According to the corresponding angles postulate, if two angles lie on same relative corner along a transversal that cuts two parallel lines (corresponding angles), then their measures are equal.
Thus, ∠1 and ∠2 are corresponding angles, therefore:
m∠1 = m∠2 [corresponding angles postulate]
Given the following:
m∠1 = (50x − 50)∘,
m∠2 = (20x + 70)∘
Therefore, we would have:
50x − 50 = 20x + 70
Subtract 20x from both sides
50x − 50 - 20x = 20x + 70 - 20x
30x − 50 = 70
Add 50 to both sides of the equation
30x − 50 + 50 = 70 + 50
30x = 120
Divide both sides by 30
30x/30 = 120/30
x = 4
Plug in the value of x
m∠1 = (50x − 50) = 50(4) − 50 = 150°
m∠2 = (20x + 70)∘ = 20(4) + 70 = 150°
Thus, the answer is: D. corresponding angles postulate
m∠1 = 150°, m∠2 = 150°
Learn more about the corresponding angles postulate on:
https://brainly.com/question/2938476
#SPJ1
30% of 70 is what percent of 2000?
Answers
Answer:
1.05
Step-by-step explanation:
Because 30% of 70 is [tex]30\% \times 70 = \frac{30}{100} \times 70 = 0.3 \times 70 = 21[/tex], so the question becomes "21 is what percent of 2000?"
To answer this, we can solve for [tex]x[/tex] in the equation [tex]21 = x\% \times 2000[/tex], which is:
[tex]21 = x\% \times 2000\\21 = \frac{x}{100} \times 2000\\21 = 20x\\x=\frac{21}{20}=1.05[/tex]
So the answer is 1.05 percent.
Use the coordinate grid to determine the coordinates of point A:
Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 3 grid lines above the x-axis.
What are the coordinates of point A?
( fraction negative 1 and 1 over 4, fraction 3 over 4)
( fraction 1 and 1 over 4, fraction negative 3 over 4)
( fraction negative 3 over 4, fraction 1 and 1 over 4)
( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answers
Based on the given coordinate grid, and the increment for each grid line, the coordinates of point A is ( fraction negative 1 and 1 over 4, fraction 3 over 4) or (-1¹/₄, ³/₄).
What are point A's coordinates?
The x-value of point A is said to be 5 grid lines to the left of y-axis. This means that the x value will be negative.
The increments are 1/4 so the x-value is:
= -1/4 x 5
= -1¹/₄
The y-value is given by the 3 grid lines above the x-axis which means that this value is positive:
= 1/4 x 3
= 3 /4
The coordinates of A are:
(-1¹/₄, ³/₄)
Find out more on coordinates at https://brainly.com/question/14355852
#SPJ1
The diameter of a circle is 6 inches find the circumference to the nearest tenth
Answers
6 x pi = 18.8 to one decimal place
Answer:
18.8 inches
Step-by-step explanation:
The circumference is [tex]\displaystyle{C = 2\pi r}[/tex]. The diameter is two times of radius which can be expressed as [tex]\displaystyle{d = 2r}[/tex].
We can rewrite the equation of circumference as [tex]\displaystyle{C = \pi d}[/tex]. Thus, substitute d = 6 in:
[tex]\displaystyle{C = 6\pi}\\\\\displaystyle{C = 18.849}[/tex]
Rounding to the nearest tenth, we will get:
[tex]\displaystyle{C = 18.8 \ \sf \ inches}[/tex]
Hence, the circumference is 18.8 inches.
George paid a total of $985 to rent a storage unit.
He initially paid $290 plus an extra amount for
each month that he rented the storage unit. Write
an equation to find the extra amount George paid
each month if he had the storage unit for 5 months.
[?] + 5m= [ ]
Answers
Answer:
290 + 5m = 985
Step-by-step explanation:
Given information:
Initial payment = $290Total payment = $985Extra amount each month = mLength of rental = 5 monthsFrom the given information, we can create the following equation:
Initial payment plus extra amount each month for 5 months equals total payment.
⇒ 290 + 5m = 985
To solve the equation:
Subtract 290 from both sides:
⇒ 290 + 5m - 290 = 985 - 290
⇒ 5m = 695
Divide both sides by 5:
⇒ 5m ÷ 5 = 695 ÷ 5
⇒ m = 139
Therefore, the extra amount George paid each month was $139.
Answer: [tex]\Large\boxed{290+5m=985}[/tex]
Step-by-step explanation:
Given information
Initial cost = $290
Total cost = $985
Number of months = 5 months
Cost each month = ?
Set variable
Let [ m ] be the cost each month
The equation in verble sense
Initial paid + Extra each month = Total cost
Convert verbal equation to mathematical sense
$290 + 5m = $290
Therefore, to find the extra amount paid each month, the equation is [tex]\Large\boxed{290+5m=985}[/tex]
---------------------------------------------------------------------------------------------------------
EXTRA The following will be solving the derived equation, please ignore this part if it is useless for you.
Given equation
290 + 5m = 985
Subtract 290 on both sides
290 + 5m - 290 = 985 - 290
5m = 695
Divide 5 on both sides
5m / 5 = 695 / 5
m = $139
Hope this helps!! :)
Please let me know if you have any questions
is there anybody to solve this need step by step solution details
Answers
The circumference of the circles from biggest to smallest are; 30π, 15π and 7.5π
How to find the area of a circle?The formula for area of a circle is;
A = πr²
In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.
The area of a circle formula is useful for measuring the region occupied by a circular field or a plot. Suppose, if you have a circular table, then the area formula will help us to know how much cloth is needed to cover it completely.
The area formula will also help us to know the boundary length i.e., the circumference of the circle. Does a circle have volume? No, a circle doesn't have a volume
Area of entire circle is 706 cm².
Thus;
πr² = 706
r² = 706/π
r = √(706/π)
r ≈ 15
Circumference of biggest circle = 2πr
Circumference of biggest circle = 2π * 15
Circumference of biggest circle = 30π
Circumference of second biggest circle = 2π * (15/2)
Circumference of second biggest circle = 15π
Circumference of smallest circle = 2π * (15/4)
Circumference of smallest circle = 7.5π
Read more about area of circle at; https://brainly.com/question/15673093
#SPJ1
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 2 seconds. But, as she gets tired, each sit-up takes longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them?
Answers
Answer: No
Step-by-step explanation: proportional means corresponding in size or amount to something. However, the number of her sit-ups isn't consistent, so it isn't proportional to the time she spends doing them.
Between which two integers is the value of √11?
9 and 10
5 and 6
7 and 8
O3 and 4
1 and 2
Answers
The square root of 11 is ?
The square root of 16 is 4
Between 3 and 4
The distance from TJ's house to school and back is 0.4 km. In one week TJ travelled 2 km. How many times did TJ go to school?
$$
Answers
Answer: 5 times
Step-by-step explanation: The distance from his house to school and back is 0.4 km. Since he traveled 2km in a week, we have to divide 2 by0.4. 0.4x5 = 2 so he went to school 5 times a week.
How many numbers are in the list 433, 429, 425, .... -103, -107?
The negative really confuses me
Answers
Answer:
135
Step-by-step explanation:
You can add the number which are in negative o
as well
The number is in descending order by 4.
Then add the first and last number i.e.
433+107===> 540
divide 540 by 4
540/4
= 135
There is a rectangular prism with a length of 8 m, a width of 5 m, and a height of 7 m.
Find the surface area of this rectangular prism.
PLEASE HELP ME :)
Answers
one of the angles of a triangle is 106° and the other two angles are equal find each of the equal angles
Answers
Answer:
37°
Step-by-step explanation:
• recall that the sum of the interior angles of a triangle
is equal to 180°
Then
The measure of the two other angles :
= 180 - 106
= 74°
The measure of each of the equal angles :
= 74 ÷ 2
= 37°
Answer:
the 2 angles r 37
Step-by-step explanation:
the angles of triangle sums up to 180, and lets call the unknown angle x, since they're both equal, x+x=2x
so when 3 angles of triangle adds up, we get 180
106+2x=180
2x=180-106
2x=74, divide both sides by 2 to get x
x=74/2
x=37
PLEASE MARK ME BRAINLIEST OF IT HELPED :)
A teacher records the number of students present in her 1st period class each day. This count is a ___________ random variable.
A. Discrete
B. Countable
C. Continuous
D. Finite
Answers
This count is a discrete random variable (option A).
What is a discrete random variable?A discrete random variable is a variable that contains integers that can only be a limited number of possible values. A discrete random variable is can contain only a finite set of numbers .
An example of discrete random variable is the number of students in the first period class. It is impossible for the number of students in the class to go on indefinitely.
Discrete random variable has the following properties:
It is finiteIt is numericIt is countableIt contains non-negative integers.A continous random variable is a variable that has an infinite number.
To learn more about discrete data, please check: https://brainly.com/question/22916429
#SPJ1
In the figure below, the segment is parallel to one side of the triangle. Find the value of x.
x+7
18²/3
0 24
025²/
16
22
Answers
Step-by-step explanation:
answer=18^2/3
according to the congruent triangles are present there.
so divide corresponding sides