2 years ago

A grocery store sells coffee beans in bulk. What is the price per pound for the coffee?

Mathematics

2 answers:

ehidna [41]2 years ago

6 0

Six dollars is the only answer that seems correct using the graph. Hope this helped.

Stels [109]2 years ago

4 0

Answer: The answer is $6.00

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

suter [353]

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

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

###

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.

5 0

3 years ago

Read 2 more answers

During a recent election, 42 of every 100 registered voters in a certain city voted. If there were 158 , 200 registered voters i

Ivanshal [37]

Seeing as there are 1582 sets of 100 people (158200 ÷ 100) multiplying 42 by 1582 should get you the answer. 1582 × 42 = 66444. 66444 people voted in that city.

3 0

3 years ago

On a road map the distance between two cities is 2.5 in the map scale is 1 inch equals 30 miles what is the actual distance betw

Elenna [48]

Answer:

Step-by-step explanation:

duh

8 0

3 years ago

Please help please help me out

Lapatulllka [165]

Actually it’s 42 cuz they are equal