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Margaret [11]
3 years ago
15

What is the unit rate for 692.08 ft in 21.1 s? Round to the nearest tenth if necessary.

Mathematics
2 answers:
kumpel [21]3 years ago
8 0
692.08 : 21.1
Divide both sides by 21.1
32.8 :1
32.8ft per second

Hope this helps :)
-Dominant- [34]3 years ago
8 0
The correct answer is 32.8ft per second
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Answer:

a) Commutative property of addition

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Step-by-step explanation:

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True or false. A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative
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Assoli18 [71]

Answer:  6\sqrt{3}

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

The short leg is always opposite the smallest angle (30 degrees).

3 0
2 years ago
Hey. I suck at algebra help pls?​
Yuri [45]

Answer: 8

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3 0
3 years ago
If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2.
eduard

Answer:

D. 104

Step-by-step explanation:

y \:  \alpha  \:  \frac{1}{ {x}^{2} }  \\  \\ y =  \frac{k}{ {x}^{2} }

when y is 26, x is 4:

26 =  \frac{k}{ {(4)}^{2} }  \\ k = 416

when x is 2:

y =  \frac{416}{ {x}^{2} }  \\ \\ y =  \frac{416}{ {(2)}^{2} }  \\ y = 104

3 0
3 years ago
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