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2 years ago

10

An object is moving at a speed of 9 inches per minute. Express this speed in yards per month.

1 answer:

Whitepunk [10]2 years ago

6 0

Answer:

10,800 yd/mo

Step-by-step explanation:

$\dfrac{9\text{ in}}{\text{min}}=\dfrac{9\text{ in}}{\text{min}}\times\dfrac{1\text{ yd}}{36\text{ in}}\times\dfrac{60\text{ min}}{1\text{ h}}\times\dfrac{24\text{ h}}{1\text{ da}}\times\dfrac{30\text{ da}}{1\text{ mo}}=\dfrac{(9)(60)(24)(30)}{36}\text{ yd/mo}\\\\=\boxed{10,\!800\text{ yd/mo}}$

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brilliants [131]

Answer: A

Step-by-step explanation:

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3 years ago

Josh earned 15% extra points on his 40 point assignment, how many total points did he earn?

Liono4ka [1.6K]

Total points : 46
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2 years ago

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

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$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

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Answer: 1- 9

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Step-by-step explanation:

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2 years ago

You have $40.00. You wish to buy a T-shirt costing $14.50. You would also like to buy a pair of jeans. There

atroni [7]

Tax is 1.54

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2 years ago