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Lynna [10]
3 years ago
8

A light year is approximately 6x10 to the power of 12 miles. If a star is 2.4x10 to the power of 13 miles from the Earth, how ma

ny light years away from Earth is the star?
Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

   4 light years

Step-by-step explanation:

  (2.4·10¹³ miles)/(6·10¹² miles/ly) = 0.4·10¹ ly = 4 light years

__

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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Find the surface area of the triangular prism (above) using its net (below).
hodyreva [135]
This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.

Formula for (Area of Rectangle)= length x width

Formula for (Area of Triangle)= 1/2 base x height

Now, we have the formulas. Let’s get started!

(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.

Triangles~ the base is 6 and the height is 4.

1/2 (6 x 4) = 12

However, there’s two triangles. (of the same size)

12 x 2 = 24

Rectangles 1 and 2~ the length is 5 and the width is 7

5 x 7 = 35

However, there’s two rectangles. (of the same size)

35 x 2 = 70

Rectangle 3~ the length is 6 and the width is 7

6 x 7 = 42

There’s only one of these.

Now we add all the areas of the shapes together!

24 + 70 + 42 = 136

The surface area is 136.
3 0
2 years ago
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What is the<br> measure of ZM?<br> 48<br> 66°
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Answer:

∠M = 72°

Step-by-step explanation:

L = 180 - (90 + 48) = 42

M = 180 - (42 + 66) = 72

7 0
3 years ago
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If z = 38 and x = 110, then what is the value of y?
sladkih [1.3K]

Answer:

First I need the whole question and second I am guessing around 76 or 72.

Step-by-step explanation:

3 0
3 years ago
Santa Claus can buy 3 reindeer and a sleigh for $800. If the sleigh cost $230, how much did each reindeer cost? Define the varia
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Answer:

$190

Step-by-step explanation:

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3 years ago
How many integers between 27 and 53 have a remainder of 4 divided by 6
marusya05 [52]

Answer:

There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.

Step-by-step explanation:

At first we need to find which integers between 27 and 53 are divisible by 6, which are, respectively:

A =\{30, 36, 42, 48\}

All integers that have a remainder of 4 divided by 6 are found by summing 4 to each element of A, that is:

A' = \{34,40,46, 52\}

There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.

8 0
3 years ago
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