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3 years ago

5

The answer with the work please

1 answer:

Anna [14]3 years ago

7 0

Answer: 6 .
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Explanation:
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To cover the triangle shown in the figure, we consider the height of the triangle (8 ft tall) and the length of the base (24 ft wide).
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Since we are given that this is a "frame", this is a rectangular frame. The problems asks, how many (minimum number of) 8 ft x <u>4</u> ft. sheets are needed to cover the entire frame?

Since the entire frame is 8 ft. x <u>24</u> ft. , The answer would be "6", since:
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24 ft ÷ 4 ft = 24 ft / 4 ft = 24 / 4 = 6 .
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Answer:

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2 years ago

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2 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:

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Which means that option a is correct.

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

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1 year ago

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Mandarinka [93]

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1 - 4 -3 18

3 -3 -18

========================

1 -1 -6 0

So what you have is a quadratic

x^2 - x - 6 = 0 which will factor
(x - 3)(x + 2) = 0
x - 3 = 0
x = 3
x + 2 =0
x = - 2
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The answer is B

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3 years ago

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Debora [2.8K]

Answer:

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Step-by-step explanation:

that's just how it be sometimes?

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Read 2 more answers