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4 years ago

Cesar bikes 6 miles per 1 hour. Write an equation to represent miles per hour and how many miles does cesar bike in 9 hours?

1 answer:

7 0

Since Cesar is riding his bike at a constant rate of six miles per hour, and he biked 9 hours you have to multiply 9 by 6.

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On a gameboard spinner, Rachel won a prize on 8 out of 10 spins. Based on experimental

Artyom0805 [142]

1. You need to make a proportion

2. Your proportion would be 8 over 10 equals X over 15

3. Your equation would be 10x=15(8)

4. 15x8=125

5. 10x=125

6. you would divide 125 by 10

7. thats your answer

6 0

3 years ago

Select All of the possible solutions for the following inequality.

MariettaO [177]

Answer:

-12,-9,-3

MARK ME BRAINLIEST PLEASE

6 0

3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

2 years ago

Special right triangles

Korolek [52]

Answer:

see down

Step-by-step explanation:

$cos 60 = \frac{x}{6\sqrt{3} } \\x = 6\sqrt{3} * cos60\\x = 6\sqrt{3} * \frac{1}{2} \\x = 3\sqrt{3}$

5 0

3 years ago

A store clerk has 45 shirts to pack in boxes each box holds 6 shirts what is the fewest boxes the clerk will need to pack all th

Kobotan [32]

The store clerk will need to pack 8 boxes. This is because you have to divide 45 by 6 and you 7.5, but you can not split the box in half, so you need to round up since you have to pack all the shirts and you get 8.

7 0

4 years ago