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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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seropon [69]

Answer:

32 unit^{3}

Step-by-step explanation:

Given:

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  • A right square pyramid with base edges of length 8\sqrt{2}

Now we use  Pythagoras to get the slant height in the middle of each triangle:

\sqrt{10^{2 - (4\sqrt{2} ^{2} }) } = \sqrt{100 - 32} = \sqrt{68}  units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

\sqrt{68-(4\sqrt{2} ^{2} )} = \sqrt{68 - 32} = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

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So the volume of it is:

V  = 1/3 *3* 4\sqrt{2}

= 32 unit^{3}

5 0
3 years ago
Anyone know how to find the length of x using the 30,60,90 method?
QveST [7]

9514 1404 393

Answer:

  2√5

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

The longest side (x) is 2 times the length of the shortest side (√5), so ...

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6 0
3 years ago
Read 2 more answers
3. A quadratic polynomial whose<br>product and the sum of<br>zéroes are -12 and 1​
muminat

Answer:

the equation is : x²-x-12

Step-by-step explanation:

the quadratic equation is in the form of : y=ax²+bx+c

the product of the zeros is -12 and the sum is 1

b  = - 1

c=-12 (product)

y=x²-x-12

check : factorize first (x+3)(x-4)=0

either x+3=0 then x=-3

or x-4=0 then x=4

-3*4=-12

-3+4=1

the equation is : x²-x-12

3 0
3 years ago
Are the ratios 6:2 and 2:6 equivalent?
Alenkasestr [34]

Answer:

no

Step-by-step explanation:

5 0
2 years ago
Hi :) Is this a quadratic function?
aniked [119]

Answer:

no this is not a quadratic function

6 0
3 years ago
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