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allochka39001 [22]

3 years ago

6

Identify the rate that does not belong with the other three. Justify your response

2 answers:

slavikrds [6]3 years ago

4 0

4.5 ft per second doesn't fit with the others.

The other three are similar because they are all in the unsimplified format of distance in a period of time, while the first one is just a simplified rate that could be used to multiply easily.

kykrilka [37]3 years ago

3 0

4.5 feet doesn't fit with the others

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Which of the following values is equivalent to

kvv77 [185]

The answer selected in the question is correct E. is the answer

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3 years ago

Find the value of tan(sin^-1(1/2))

suter [353]

If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

$\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3$

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Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

So, recalling the Pythagorean theorem, we find

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2$

Then

$\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3$

as expected.

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3 years ago

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The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function

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Your answer is option 1.

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3 years ago

What is the slope of the line described by the equation below?

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3 years ago

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A new bean company is working on designing its label for the can. If the can measures 4 inches in height and has a 3 inch diamet

Arlecino [84]

Answer: 37.68 square inches of paper

Step-by-step explanation:

Hi to answer this question we have to calculate the side area (since the label doesn't cover the top and bottom area)

First, we have to find the circumference.

Circumference (C) = 2 π r

Since:

Diameter = 2 radius

3 = 2r

3/2 =r

r =1.5 inches

Back with the circumference formula

Replacing with the values given:

C = 2 (3.14) 1.5

C= 9.42

Side area = C x heigth = 9.42 x 4 = 37.68 square inches

4 0

3 years ago