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Nutka1998 [239]
3 years ago
7

1,000,000,000 meters equal 3 gigameters. True False

Mathematics
1 answer:
alekssr [168]3 years ago
5 0
<span>it is 3000000000 because 1 gigameter is 1000000000 so 3 is 3000000000</span>
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HELP ASAP What is the length of BD? Round your answer to the nearest hundredth.
melomori [17]

Answer:

4.99 units

Step-by-step explanation:

Considering ∆ABD in the figure given, <ABD = <ABC = 90° (angle on a straight line)

Therefore, we would consider ∆ABD as a right angled triangle having side AB = 3 units, and angle D = 31°

==>Use trigonometric function to solve for the length of side BD

Side BD is the adjacent side to the angle given, while side AB is the opposite side to the angle given.

Thus,

tan D = opposite/adjacent

tan 31 = 3/BD

0.6009 = 3/BD

multiply both sides by BD

0.6009*BD = 3

Divide both sides by 0.6009 to make BD the subject of formula

BD = 3/0.6009

BD ≈ 4.99 units

7 0
3 years ago
Read 2 more answers
Which expression is a sum of cubes?
erik [133]

we know that

A polynomial in the form a^{3} +b^{3} is called a sum of cubes

so

Let's verify each case to determine the solution

<u>case A)</u> -64x^{6} y^{12} +125x^{16} y^{3}

we know that

-64=-4^{3}

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{16}=x^{15} *x=x*(x^{5})^{3} -------> is not a perfect cube

y^{3}= (y)^{3}

therefore

the case A) is not a sum of cubes

<u>case B)</u> -32x^{6} y^{12} +125x^{16} y^{3}

we know that

-32=-2^{5} -------> is not a perfect cube

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{16}=x^{15} *x=x*(x^{5})^{3} -------> is not a perfect cube

y^{3}= (y)^{3}

therefore

the case B) is not a sum of cubes

<u>case C)</u> 32x^{6} y^{12} +125x^{9} y^{3}

we know that

32=2^{5} -------> is not a perfect cube

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{9}=(x^{3})^{3}

y^{3}= (y)^{3}

therefore

the case C) is not a sum of cubes

<u>case A)</u> 64x^{6} y^{12} +125x^{9} y^{3}

we know that

64=4^{3}

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{9}=(x^{3})^{3}

y^{3}= (y)^{3}

Substitute

4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}

(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}

therefore

<u>the answer is</u>

64x^{6} y^{12} +125x^{9} y^{3} is a sum of cubes

6 0
3 years ago
Read 2 more answers
 The ratio of the number of cars to the number of motorcycles in a parking lot is 10:3. The ratio of the number of motorcycles t
serg [7]
I'll do this step-by-step. Note, ratios are basically division signs.

The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.

The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.

There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)

So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.

If you don't want the explanation, there are 33 more cars than vans in the parking lot.
8 0
3 years ago
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How do you solve simple linear equations
Vera_Pavlovna [14]
It’s easy just make a line and put numbers each line to solve the linear equation and than solve it simple
4 0
3 years ago
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Ms. Delgado wants to purchase a new home valued at $141,000.
DedPeter [7]
141,000 x .523 = 73,743
5 0
3 years ago
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