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3 years ago

In which part of the graph is the distance from home constant?

Mathematics

1 answer:

inessss [21]3 years ago

7 0

The answer will be four. you’re welcome.

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The radius is longer than the diameter. A) never true B) always true

sweet [91]

Answer:

a) never true

Step-by-step explanation:

a radius is always half of a diameter

6 0

3 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.)

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

Evaluate:

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

6 0

3 years ago

A lighthouse is located on an island 200 feet from the shore of the mainland as

Deffense [45]

Answer: Approximately d = 208.72

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Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0

2 years ago

Which value of x will make the triangles similar by the SSS similarity theorem

masha68 [24]

Answer:

x = 30.

Step-by-step explanation:

For the triangles to be similar corresponding sides must be in the same ratio.

So 50/ 75 = x / 45

75x = 50*45

x = 50* 45/75

= 2 * 45 / 3

= 30. (answer).

4 0

3 years ago

Add. Enter a number only as your answer in the space provided Please I really need help

Andreas93 [3]

Answer:0

Step-by-step explanation:

8 0

3 years ago

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