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3 years ago

An asteroid is 10^{8} miles away from earth, and it is traveling at a speed of 10^{5} miles per day.

Mathematics

1 answer:

Inessa05 [86]3 years ago

6 0

Divide the distance by the speed:

10^8 / 10^5 = 10^3 days ( 1,000 days)

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50a3 + 10a2

Lady_Fox [76]

$50a^3+10a^2\\\\50a^3=10\cdot5\cdot a^2\cdot a=10a^2\cdot5a\\\\50a^3+10a^2=10a^2\cdot5a+10a^2\cdot1=\huge\boxed{10a^2(5a+1)}\to\boxed{A}$

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3 years ago

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Replace A with a number to make A/24 ≥ 1/4 a true statement.

antiseptic1488 [7]

Answer:

B. 7

Step-by-step explanation: 6/24= 1/4 so 7/24>1/4

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3 years ago

Solve 9x−y=45 for y.

Taya2010 [7]

So to solve for y, we need to get y alone on one side of the equation. So we are going to subtract 9x from both sides of the equation to get:

$-y=-9x+45$

And since y is negative, we are going to divide both sides by -1 in order to make the y positive:

$y=9x-45$

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3 years ago

[[ 20 POINTS IF YOU ANSWER THIS QUESTION CORRECTLY. ]]

dezoksy [38]

Answer: the height of the kite is 106.065 ft

Step-by-step explanation:

The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 45 = x/150

Cross multiplying, it becomes

x = 150Sin45 = 150 × 0.7071

x = 106.065 ft

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3 years ago

What is 1.21 repeating as a fraction?

DochEvi [55]

$x=1.\overline{21}\\
100x=121.\overline{21}\\
100x-x=121.\overline{21}-1.\overline{21}\\
99x=120\\
x=\dfrac{120}{99}=\dfrac{40}{33}$

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3 years ago

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