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Flura [38]
3 years ago
10

The moon forms a right triangle with the earth and the sun during one of its phases I show a scientist measures the angle acts a

nd the distance Y between the earth and the moon. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the earth and the sun.

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Step-by-step explanation:

The tangent of an angle in a right triangle is the opposite side divided by the adjacent side.

If d is the distance between the earth and the sun, then:

tan x = y / d

Solving for d:

d = y / tan x

You might be interested in
Can someone help me figure this out no guessing
laiz [17]
Your answer is x = 2.92 = 3.
To answer this question you need to use trigonometry, so the first step is to identify the hypotenuse, opposite, and adjacent.
Because the angle 73 is in the bottom corner next to the length x, we know that the length x is the adjacent. The length 10 is opposite the right angle so this must be the hypotenuse.
We know that cos(θ) = adjacent/hypotenuse, so we can substitute in what we know:
cos(θ) = adjacent/hypotenuse
cos(73) = x/10
Now we can rearrange for x:
cos(73) = x/10
× 10
cos(73) × 10 = x
Finally we just type this into the calculator and get the answer as 2.92 or 3.
I hope this helps!
5 0
2 years ago
Fred orders pictures from a photographer. Each picture costs $5.50. A one-time shipping fee of $4.25 is added to the cost of the
Alexus [3.1K]

Answer:

Fred ordered 12 pictures

Step-by-step explanation:

70.25-4.25 (one time shipping fee) =66

then you take 66 and divide it by the cost of each picture

66/5.50= 12 pictures

3 0
2 years ago
Read 2 more answers
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
Your brother ordered some pens on the internet. It cost 2$ for each pen and the shipping fee is 3$. If your brother paid a total
Mars2501 [29]

Answer:

10pens

Step-by-step explanation:

23-3=20

20÷2=10

5 0
3 years ago
2. Solve this equation for x:<br> 0.17k - 0.43 = 0.25k + 0.05
stepan [7]

Answer:

k = 6

Step-by-step explanation:

im guessing you meant solve for k

0.17k - 0.43 = 0.25k + 0.05

-0.17k             -0.17k

-0.43 = 0.08k + 0.05

-0.05               -0.05

-0.48 = 0.08k

divide both sides of the equal sign by 0.08

6 = k

4 0
3 years ago
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