Find the area of the rectangle.

Find The Area Of The Rectangle.

Answers

Answer 1

Answer:

  D.  96 in²

Step-by-step explanation:

Each triangle is congruent to the others, so each has a side length of 8 and a hypotenuse of 10. The unknown side can be found from the Pythagorean theorem to be ...

  width = √(10² -8²) = √36 = 6

Then the area of the rectangle is ...

  area = length × width = (2·8 in)(6 in) = 96 in²

The area of the rectangle is 96 square inches.


Related Questions

Find the 14th term of geometric sequence 5,-10,20,...

Answers

Answer:

-40960

Step-by-step explanation:

5,-10,20,..

first term= 5 and common ratio= -2

aₙ= a₁*rⁿ⁻¹

a₁₄= 5*(-2)¹³= -40960

find ABD
help please!!

Answers

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

[tex]m\angle ABD =20^\circ[/tex]

Step-by-step explanation:

According to the given statement the two angles are equal.

[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]

Best Regards!

What is The slope of the line containing the points (-2, 3) and (-3, 1)
2
1/2
-2/5

Answers

If it’s on Ed all of them are wrong

Step-by-step explanation:

Answer: Choice A. 2

use the slope formula to get this answer

m = (y2 - y1)/(x2 - x1)

m = (1-3)/(-3-(-2))

m = (1-3)/(-3+2)

m = -2/(-1)

m = 2

Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.

Answers

Answer:

1,500,000

Step-by-step explanation:

A tent in the shape of a triangle prism is made using the following piece of fabric.

Find the surface area of the fabric. Explain your reasoning

Answers

Answer:

85.84 ft²

Step-by-step explanation:

The surface area of the fabric would be the total net area of the shape of the tent covered.

Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces

From the diagram given, the 3 rectangular faces have the same dimensions as follows:

L = 6ft

W = 4ft

Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²

The 2 triangular faces have the same dimensions as follows:

B = 4f

H = 3.46ft

Area of the 2 triangular faces = 2(½*B*H)

= 2(½*4*3.46)

= 2(2*3.46)

= 2(6.92)

= 13.84 ft²

Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²

Answer:

85.84

Step-by-step explanation:

Write an explicit formula for An, the nth term of the sequence 20, 30, 40, ....

Answers

Answer: 50 60 70

Step-by-step explanation:

determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there is not enough information to determine the answer

Answers

Answer:

g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.

Step-by-step explanation:

Evaluate piecewise functions

Answers

Answer:

The answer is 150.

Step-by-step explanation:

Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.

Which linear inequality is represented by the graph?

Answers

Answer:

B. y <= 1/3 x - 4

Step-by-step explanation:

The line has y-intercept -4.

The slope is

m = rise/run = 1/3

The equation of the solid line is

y = 1/3 x - 4

Since the line is solid, we need >= or <=.

Since the shading is below the line, we use <=.

Answer: y <= 1/3 x - 4

The cost of endless chicken wings and sauce at resturant X is $10. The cost of chicken wings at Resturant Z is $0.50 per wings plus a one-time $1.50 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.

Answers

Answer:

10=.50n+1.50

Step-by-step explanation:

The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50

c = total cost

n = number of chicken wings

Therefore,

The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.

The system of equation that represent the system is as follows:

c = 0.50n + 1.50

The one time fee for sauce is just like a constant in the equation.

learn more here: https://brainly.com/question/19316321?referrer=searchResults

In a test (+4) marks are given for every correct answers and (-3) marks are given for every incorrect answers 1) Tahiya answered all questions and scored 40 marks though she got 12 correct answers. 2) Helmin also answered all the questions and scored (-14) marks though he got 5 correct answers. How many incorrect answers had they attempted?

Answers

Answer:

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

Step-by-step explanation:

Correct = +4

Incorrect = -3

1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:

[tex]4*12-3I=40\\I=\frac{8}{3}\\I=2.67[/tex]

2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:

[tex]4*5-3I=-14\\I=\frac{34}{3}\\I=11.33[/tex]

In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

Can somebody answer this ?? :)

Answers

Answer:

Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.

PLZ ASAP help meee I need u nowww

Answers

Answer:

£ 14168

solution,

Price of car=£15400

After reduction:

[tex]15400 - 15400 \times \frac{8}{100} \\ = 15400 - 1232 \\ = 14168[/tex]

hope this helps...

Good luck on your assignment....

Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? ^ means squared A.) Perimeter = 46 cm, area = 131.25 cm^2 B.) Perimeter = 126 cm, area = 972 cm^2 C.) Perimeter = 46 cm, area = 972 cm^2 D.) Perimeter = 126 cm, area = 131.25 cm^2

Answers

Answer:

B.) Perimeter = 126 cm, area = 972 cm²

Step-by-step explanation:

==>Given:

Rectangle with the following dimensions:

L = 8 cm

W = 6 cm

==>Required:

Perimeter and area of the rectangle if enlarged using a scale factor of 4.5.

==>Solution:

The dimensions of the rectangle when enlarged by a scale factor of 4.5 would be:

L = 8 × 4.5 = 36cm

W = 6 × 4.5 = 27cm

=>Area = L × B

= 36 × 27

Area = 972 cm²

=>Perimeter = 2(L + W)

= 2(36 + 27)

= 2(63)

Perimeter = 126 cm

The range of y=x2 is

Answers

The range of the function is (-♾, ♾)

Click on the graph until the graph of a line with undefined slope appears.

Answers

Answer:

option 2

Step-by-step explanation:

The only kinds of lines with undefined slopes are vertical lines.

Answer:

The second graph.

Step-by-step explanation:

A vertical line has undefined slope so it is the second graph.

La suma de las edades de tres personas es 127años. La mayor tiene 30 años mas que la menor y la del intermedio 26 menos que la menor.¿ calcula la edad de la persona mayor'

Answers

Answer:

La mayor tiene 61 años.

Step-by-step explanation:

Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.

Tenemos las siguientes ecuaciones:

[tex]x+y+z=127[/tex] (la suma de las edades es 127)

[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)

La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"

[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).

La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos

[tex]x+(x-26)+(x-30) = 127[/tex]

Obtenemos la ecuación

[tex]3x-56 = 127[/tex]

Sumando 56 a ambos lados y dividiendo por 3, obtenemos

[tex] x = \frac{127+56}{3} = 61[/tex]

Es decir la mayor tiene 61 años.

A nature preserve opened with a population of 6 rabbits. After one year, the number of rabbits had doubled. The year after that, the number of rabbits doubled once again. Assuming that this pattern continues, plot the solution points for the first three years along with the y-intercept. Let y represent the number of rabbits on the nature preserve after x years. I have to graph it, the max y number is 60 and the max x number is 5.

Answers

Answer:And Explanation

Initially the number of rabbits in the preserve are: 6

After one year the population of rabbits are doubled this means that the population of rabbits at the end of one year is: 2×6=12

Again after one year the population of rabbits are doubled this mean that at the end of second year the population of rabbits are: 12×2=24

and at the end of third year the population of rabbits is: 24×2=48

Hence, the points are plotted as follows:

 (0,6)

 (1,12)

 (2,24)

and (3,48)

We know that the y-intercept is the point where x-value is zero.

Hence, here we have y-intercept at (0,6

There is a jar of green and red marbles. If there are 21 marbles total and the ratio of green to red is 3:4, how many red marbles are there?

Answers

Answer:

12 red marbles

Step-by-step explanation:

You make an equation: 3x+4x=21

Then, you get 7x=21.

By using algebra, you get x=3.

Then you muliply 3 by 4 since the ratio of red marbles is 4.

So you get 12.

Answer:

There are 12 red marbles

Step-by-step explanation:

green : red : total

3           4       3+4=7

We want a total of 21

21 /7 =3

Multiply by 3

green : red : total

3*3       4*3   7*3

 9         12     21

(2x + 4)(3x + 8 ) neeedd help

Answers

Answer:  6x^2 +28x + 32

Step-by-step explanation: FOIL

First: 2x × 3x = 6x^2

Outside:2x × 8 = 16x, and Inside: 3x × 4 = 12x Combine those to get +28x

Last: 4 × 8 = 32

Put them together in order 6x² + 28x + 32

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

4 * 10 ^-4

Step-by-step explanation:

2 * 10 ^- 6    * 2 * 10 ^2

Multiply the numbers

2*2 = 4

Add the exponents

10 ^ (-6+2) = 10 ^-4

4 * 10 ^-4

find the amount at compound interest that #600 would be at 3% the end of the first year, 2% at the end of the second year​

Answers

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]

             = #12.36

Amount = #630.36 at the end of the second year

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased? On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).

Answers

Answer:

The most correct option is;

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28)

Step-by-step explanation:

The equation is c = 10 + 3·t

When we substitute t = 0 we have the y-intercept given by c = 10 + 3 × 0 = 10

When we substitute c = 0 we have the x-intercept given by 0 = 10 + 3 × t

t = -10/3

Which gives the graph in slope and intercept form as c = 3·t + 10, where 3 is the slope

Given the accuracy of the data points, the graph with solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28) has the slope given by (28 - 10)/(6 - 0) =3 Which agrees with the above solution. therefore, the most correct option is On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28)

Answer:

B. (the second graph)

Step-by-step explanation:

Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select two
options.
Ту
The vertex of the function is at (1,-25).
6
The vertex of the function is at (1,-24).
4
The graph is increasing only on the interval -4< x <6.
2
The graph is positive only on one interval, where x<-4.
The graph is negative on the entire interval
-4 < X < 6.

Answers

Answer:

Step-by-step explanation:

#1: True

#2: False

#3: False

#4: False

#5: True

I hope I've helped you.

Match each addition operation to the correct sum. 131.87 -23.24

Answers

Answer:

131.87-23.24=108.63

Step-by-step explanation:

To solve this problem, let's line up the problem. To make it easier, we can start by ignoring the decimals.

                                             13187

                                            - 2324

                                           ______

                                             10863

And then, since there were decimals in the first place, we have to add them back in.

                                            10863→108.63

250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours

Answers

Answer:

h = 2.5

Step-by-step explanation:

250 + 200h = 300 + 180h

subtract 180 from both sides

250 + 200h - 180 = 300 + 180h - 180

250 + 20h = 300

subtract 205 from both sides

250 - 250 + 20h = 300 - 250

20h = 50

divide both sides by 20

20h ÷ 20 = 50 ÷ 20

h = 2.5

In a 10% sale a jumper costs £36. How much does it usually cost?

A. 40
B. 39.60
C. 32.40
D. 360

Answers

10% of £36 = £3.60
So you do £36+£3.60
Then your answer is...
B. £39.60

Answer:

A. 40

Step-by-step explanation:

CP= x, SP= £36, sale= 10%

SP= CP- 10%= CP*0.9

x*0.9= £36

x= £36/0.9= £40

How many roots do u thinn

Answers

Answer:

2 roots1 root

Step-by-step explanation:

Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).

  y = a(x -h)^2 +k

has leading coefficient "a" and vertex (h, k).

__

f(x) = 1/3(x +5)^2 +7

  vertex: (-5, 7), opens downward

The vertex is above the x-axis, so there are two real roots.

__

f(x) = -5(x -3)^2

  vertex: (3, 0), opens downward

The vertex is on the x-axis, so there is one real root.


please help thank you

Answers

Answer:

y=5x+15

Step-by-step explanation:

We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.

Answer:

Answer D

Step-by-step explanation:

Please help 100 points. i need to finish this like in 20 min Assignment: The Law of Large Numbers Investigation Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? 1. List out the sample space for the experiment and then calculate the theoretical probability. _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ 2. Roll the dice. Record your results in the table. Calculate the experimental probability for rolling a sum of 7 after the 1st, 10th, and 100th rolls. Experimental Probability after Roll #1: ___________________________ How does the experimental probability compare to the theoretical probability after 1 roll? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #10: __________________________ How does the experimental probability compare to the theoretical probability after 10 rolls? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #100: _________________________ How does the experimental probability compare to the theoretical probability after 100 rolls? _________________________________________________________ _________________________________________________________ Tally your results in the table. Sum Results 2 3 4 5 6 7 8 9 10 11 12 Analyze your findings. 3. Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________

Answers

The experimental probability is what you actually rolled

24/60 = 2/5 = 40%

The theoretical probability is what we expect to happen

=number of even numbers / total number of numbers

3/6 = 1/2 = 50%

Other Questions
PLEASE HELP!!!!!! Who was Millie La Mar? Who were Mary and Florence Martin? BE SPECIFIC!!!! When I began working at this marketing job, I used to drive past the same homeless man every day. He stood at the corner of Twelfth Street and Industrial Boulevard, just before the left turn into the private road to my office complex, and held up a brown cardboard sign that read, Anything Helps. I didnt know how to respond to him. Most people didnt respond at all but drove right past him. Even if the red light stopped them at the very corner, directly alongside him, they didnt turn their gaze in his direction, much less reach into their pockets for a dollar bill. And yet, he made a point of smiling and nodding at every driver in the line of cars and sometimes wishing them good day. One spring morning, many weeks after hed first taken over the corner, a day when I was first in the line of stopped cars, I happened to glance to my left and saw that he was giving me a smile and a nod. Have a good one, he said. Flustered, I managed to falter out the words, You too. The light changed, and I drove off. Immediately, I felt guilty for not giving him some money, for hed been kind toward me, had treated me as a fellow human being, despite the fact that Id completely spurned him. So the next time I was stopped at that light, I rolled down my window and extended my hand with a dollar in it. From that point on, I gave him a dollar every time I happened to be caught at that red light, and he swiftly came to recognize me. Hed walk over to my car with a big smile of comradeship and anticipation, and in exchange for the dollar, hed entertain me with some observation about human quirks or some bit of news about how hed been surviving over the past twenty-four hours. We knew each other, I felt, even if it was only in a limited way. You shouldnt do that, my friend Janna told me severely a couple of months later. People who gave money to panhandlers were supporting them in destructive lifestyles rather than encouraging them to become productive, Janna said, and I believed her because she was a social worker at a charity and wanted to benefit the homeless in ways that were genuinely constructive, not just ways for some middle-class driver to fool himself into feeling virtuous. So I changed my morning commuting route and began entering the office complex from the other side. But from the beginning, I felt bad about avoiding him; I felt I had bowed to peer pressure, had shown the opposite of courage, and was depriving myself of an opportunity to make a small sacrifice that would make someone happy. It hadnt even been a sacrifice, I realized, because giving the man that insignificant (for me) sum had pleased me as well as him. The next day, I drove to work on my original route, which was quicker anyway, and looked forward to stopping next to him and exchanging a friendly pleasantry or two. But he wasnt there. He wasnt there the next day, either, and now that autumn and winter have come and gone, I can surmise fairly confidently that hes never coming back. Maybe hes migrated to some place with nicer weather. Or maybe something has happened to him that people like me wouldnt want to think about. I dont know what Ill do when a different homeless person discovers that this corner is unoccupied. Which theme can be most reasonably inferred from this story? Good intentions do not necessarily lead to wisdom. Generosity is always the best policy. People are not always what they first appear to be. Knowledge is power, and money is power, too. What do points 613 suggest Wilson believed about achieving lasting peace? He believed that the victorious nations of World War I should help rebuild the economies of the losing nations. He believed that world peace could only occur if individual nations felt secure within their borders. 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