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Stels [109]
3 years ago
12

The moon forms a right triangle with the Earth and the sun during one of its phases, as shown below. A scientist measures the an

gle x and the distance y between the Earth and the sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the sun.
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
Using the Law of Sines  (sina/A=sinb/B=sinc/C for any triangle)

sinx/y=sin90/d and since sin90=1 we can say that that distance from moon to sun is:

d=y/sinx
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Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals
BARSIC [14]

Answer:

(0.5,-4.5)

Step-by-step explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

(\frac{4+-3}{2},\frac{-2+-7}{2})

(\frac{1}{2},\frac{-9}{2})

or

(0.5,-4.5)

7 0
3 years ago
A plumber needs to replace 20 feet of copper piping. When he gets to the supply store, the lengths are given in meters. How many
mars1129 [50]
He would need 6 meters of copper piping or just a tiny tincy bit more
5 0
2 years ago
If a person high jumps 6 feet 8 inches, how many inches is the jump?
LenaWriter [7]

Answer:

80 inches

Step-by-step explanation:

6 x 12 = 72 + 8= 80

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6 0
3 years ago
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Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
Elina [12.6K]

The first four-term of the sequence is found by the given equation a_{n-1} = 4a_n is given as 144, 36, 9, and 9/4.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The given equation will be

\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n

And

a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}

For n = 4, we have

\rm a_{4-1} = 4a_4\\\\a_3 \ \ \  = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9

For n = 3, we have

\rm a_{3-1} = 4a_3\\\\a_2 \ \ \  = 4*9 \\\\ a_2 \ \ \ = 36

For n = 2, we have

\rm a_{2-1} = 4a_2\\\\a_1 \ \ \  = 4*36 \\\\ a_1 \ \ \ = 144

More about the sequence link is given below.

brainly.com/question/21961097

7 0
1 year ago
If Carbon 12 is named 12 because it has 6 protons
tester [92]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
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