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3 years ago

Light travels at 5.87x10^12 miles in one year if a star is 2x10^4 light years away, how many miles away is that star?

Mathematics

1 answer:

GalinKa [24]3 years ago

6 0

Answer:

1.174x10^17 miles

Step-by-step explanation:

5.87x10^12 x 2x10^4.

(5.87x2)(10^12x10^4)

=11.74(10^16)

In Sci. Not., you cannot have a number less than 1 or greater than 10, so multiply these numbers together and move the decimal one to the left.

Your final answer should be 1.174x10^17 miles.

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What is the area of this figure

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Answer:

$\large\boxed{A=54}$

Step-by-step explanation:

Look at the picture.

We have two triangles and the trapezoid.

The formula of an area of a triangle:

$A_{triangle}=\dfrac{bh}{2}$

b - base

h - height

The formula of an area of a trapezoid:

$A_{trapezoid}=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

Triangle 1:

b = 3, h = 2

$A_1=\dfrac{(3)(2)}{2}=3$

Triangle 2:

b = 6, h = 1

$A_2=\dfrac{(6)(1)}{2}=3$

Trapezoid:

b₁ = 7, b₂ = 9, h = 6

$A_3=\dfrac{7+9}{2}\cdot6=\dfrac{16}{2}\cdot6=(8)(6)=48$

The area of the figure:

$A=A_1+A_2+A_3\\\\A=3+3+48=54$

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