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Vaselesa [24]
3 years ago
15

6,237.2 The 2 in hundreds place is___ the value of the 2 in the tenths place.

Mathematics
1 answer:
Reil [10]3 years ago
3 0

The 2 in the hundreds place is 1000* the 2 in the tenths place 
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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)

Evaluate:

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

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To amend the U.S. Constitution, 3/4 of the 59 states must approve the amendment. If 35 states approve an amendment, will the con
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Answer:

No

Step-by-step explanation:

3/4 of 59 is 44.25. More than 44 states need approve the constitution to be amended

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Step-by-step explanation:

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Answer:

62,160 cubic feet

Step-by-step explanation:

To solve this problem, we can use a percentage formula as shown below:

P(1+r)

<em>P = initial value</em>

<em>r = rate</em>

Now lets plug in the values given in the question:

56,000(1+.11) = 62,160

This means that the volume of the warehouse after the addition will be 62,160 cubic feet.

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Marcos delivers newspapers during his summer break. He delivers a different number of papers each day. What percent of the total
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