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2 years ago

A piece of equipment moves 16.8 yards in 12 minutes how many feet does it move per second?

Mathematics

1 answer:

I am Lyosha [343]2 years ago

6 0

convert yards to feet and minutes to seconds

1yard=3ft

16.8yards times 3ft/1yd=50.4ft

1minute=60 seconds

12minutes times 60seconds/1min=720seconds

feet per second=50.4ft/720sec=0.07ft/sec

answer is 0.07ft/sec

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HELP PLS>>> The vector (3, - 7) ) is rotated by an angle of (3pi)/4 radians and then reflected across the y-axis. If th

horsena [70]

Answer:

$a \approx -2.826$ , $b \approx 7.072$

Step-by-step explanation:

First, the vector must be transformed into its polar form:

$r = \sqrt{3^{2}+ (-7)^{2}}$

$r \approx 7.616$

$\theta \approx 2\pi - \tan^{-1}\left(\frac{7}{3} \right)$

$\theta \approx 1.629\pi$

Let assume that vector is rotated counterclockwise. The new angle is:

$\theta' = \theta + \frac{3\pi}{4}$

$\theta' = 2.379\pi$

Which is coterminal with $\theta'' = 0.379\pi$ . The reflection across y-axis is:

$\theta''' = \pi - \theta''$

$\theta''' = 0.621\pi$

The equivalent vector in rectangular coordinates is:

$a = 7.616\cdot \cos 0.621\pi$

$a \approx -2.826$

$b = 7.616\cdot \sin 0.621\pi$

$b \approx 7.072$

7 0

2 years ago

A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

Alex

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

8 0

2 years ago

The quotient of -8 and the sum of a and b

Mamont248 [21]

Hi! I'm happy to help!

To solve this, you need to know what all of the terms mean. Quotient means division, and sum means addition. Knowing this we can set up our expression.

Because there is an operation inside of an operation (addition inside of division) we use parenthesis.

-8÷(a+b)

I hope this was helpful, keep learning! :D

3 0

2 years ago

One of the factors of g2 − 28g + 196 is a. g-7 b. g-14 c. g+14 d. g+7

EastWind [94]

$g^{2}-28g+196=g^{2}-14g-14g+196=g(g-14)-14(g-14)= \\ \\ (g-14)(g-14)=(g-14)^{2}$

P.S :>

$(a-b)^{2}=a^{2}-2ab+b^{2}$

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4 0

2 years ago

Read 2 more answers

Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne

aalyn [17]

Answer:

Option a. $2,040

Step-by-step explanation:

step 1

To find out the amount of the additional passive income last year, subtract the amount earned at her salaried job from Loretta’s income last year

$\$81,300-\$56,800=\$24,500$