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BaLLatris [955]

2 years ago

7

A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bott

om of the window have a width of 3 feet . He also measured one length to be 5 feet . What is the length of the last side ?

1 answer:

Sliva [168]2 years ago

7 0

Answer: 5 feet

Step-by-step explanation: A rectangle is a quadrilateral with 4 sides. The opposite sides are parallel and have the same length.

Top and bottom of the window are opposite, so they have the same measure of 3 feet.

One length of the window is 5 feet. Since the last side is opposite to the length of the window, it has the same length, i.e., its value is 5 feet.

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Charlotte drives 64 mph for the first 3 hours of her trip and 92 mph for last 4 hours.

german

Answer:

80 mph

Step-by-step explanation:

$\boxed{\sf Distance=Speed \times Time}$

<u>First leg of trip</u>

Speed = 64 mph
Time = 3 hours

$\implies \sf Distance =64\times 3 = 192\:miles$

<u>Second leg of trip</u>

Speed = 92 mph
Time = 4 hours

$\implies \sf Distance=92 \times 4 = 368\:miles$

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

To find the average speed:

$\begin{aligned}\implies \sf Average\:speed & = \sf \dfrac{Total\:distance}{Total\:time}\\\\ & = \sf \dfrac{192+368}{3+4}\\\\& = \sf \dfrac{560}{7}\\\\ & = \sf 80\:mph\end{aligned}$

6 0

1 year ago

Read 2 more answers

Find the distance between the pair of points and then round your answer to the nearest tenth.

Travka [436]

Answer:

$d = 9.4 units$ (nearest tenth)

Step-by-step explanation:

Given the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , distance between (-4, 5) and (4, 0) is calculated as follows:

Let $(-4, 5) = (x_1, y_1)$

$(4, 0) = (x_2, y_2)$

$d = \sqrt{(4 - (-4))^2 + (0 - 5)^2}$

$d = \sqrt{(8)^2 + (- 5)^2}$

$d = \sqrt{64 + 25}$

$d = \sqrt{89}$

$d = 9.4 units$ (nearest tenth)

3 0

2 years ago

Please help!!!!!!!!!!

Delicious77 [7]

$f(x)=2x^2-4x+1$

Substitute the values of x to the equation of the function f:

$x=-1\to f(-1)=2(-1)^2-4(-1)+1=2(1)+4+1=7\\\\x=2\to f(2)=2(2^2)-4(2)+1=2(4)-8+1=1$

Therefore we have two points (-1, 7) and (2, 1).

We can calculate the slope of line l.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{1-7}{2-(-1)}=\dfrac{-6}{3}=-2$

<h3>Answer: A) -2.</h3>

5 0

2 years ago

Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. How many different groups

irakobra [83]

Answer:

56 groups of 5 Fabergé eggs can be taken.

Step-by-step explanation:

It is given that Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. In order to find how many different groups of 5 Faberge' eggs can she take, we apply the combination formula:

$8C_{5}=\frac{8!}{5!(8-5)!}$

$8C_{5}=\frac{8!}{5!3!}$

$8C_{5}=\frac{8{\times}7{\times}6{\times}5!}{5!{\times}3{\times}2}$

$8C_{5}=56$

Thus, 56 groups of 5 Fabergé eggs can be taken.

8 0

3 years ago

What is the value of 3-(-2)?

Lostsunrise [7]

Answer:

5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers