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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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Complete the page for 15 points.
sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

<em>The numbers are -4, -3, and -2.</em>

3 0
3 years ago
What is the formula for:
Masteriza [31]

Answer:

A) (Triangle) So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

B) We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

C)The parallelogram area can be calculated, using its base and height.  

Area = ½ × d1 × d2 sin (y)

All Formulas to Calculate Area of a Parallelogram

Using Base and Height A = b × h

Using Trigonometry A = ab sin (x)

Using Diagonals A = ½ × d1 × d2 sin (y)

D)Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.

Hope this helps!

All the love, Ya boi Fraser :)

7 0
3 years ago
A radio station will announce the winner of a contest when 3,200 callers have phoned the station. At 3:00 p.m. 400 callers were
arsen [322]
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5 0
3 years ago
Explain how you would use integer tiles to find the quotient of -15 and 3
dsp73
-5 is the answer I believe
6 0
3 years ago
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What is a good estimate for 1,710 2,740 4.322 5,700 7,810 6,395
timama [110]

Answer:

What do you mean by a "Good estimate"? There's no picture or questions.

Step-by-step explanation:

3 0
3 years ago
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