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Alexandra [31]
2 years ago
11

1. Taking your eyes off the road for ____ seconds at 60 miles per hour means you have traveled blindly for half the length of a

football field.
Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Answer:

4.09 seconds

Step-by-step explanation:

simplify miles per hour to feet per second how many feet is a mile and how many seconds are in an hour you end up with 88 fps from 60 mph

now simply a football field is 360 feet so 360/88 is 4.09090909 etc

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4

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Jenna's class brought in 40 pieces of fruit for a celebration and 18 pieces of fruit were eaten. What percentage of the fruit wa
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e

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Find the general solution of <img src="https://tex.z-dn.net/?f=2cos%282x%20%2B%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%20%3D%20%5Cs
Aleks04 [339]

Answer:

\large\boxed{x=-\dfrac{\pi}{4}+k\pi\ \text{or}\ x=k\pi\ \text{for}\ k\in\mathbb{Z}}

Step-by-step explanation:

2\cos\left(2x+\dfrac{\pi}{4}\right)=\sqrt2\qquad\text{divide both sides by 2}\\\\\cos\left(2x+\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\to2x+\dfrac{\pi}{4}=\pm\dfrac{\pi}{4}+2k\pi\\\\2x+\dfrac{\pi}{4}=-\dfrac{\pi}{4}+2k\pi\ \vee\ 2x+\dfrac{\pi}{4}=\dfrac{\pi}{4}+2k\pi\qquad\text{subtract}\ \dfrac{\pi}{4}\ \text{from all sides}\\\\2x=-\dfrac{2\pi}{4}+2k\pi\ \vee\ 2x=2k\pi\qquad\text{divide all sides by 2}\\\\x=-\dfrac{\pi}{4}+k\pi\ \vee\ x=k\pi\ \text{for}\ k\in\mathbb{Z}

5 0
3 years ago
Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)
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Answer:

Step-by-step explanation:

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

a)quotient property

b)power property

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7 0
2 years ago
The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.​
lubasha [3.4K]
<h3>given:</h3>

v = 905 \:  {cm}^{3}

<h3>to find:</h3>

the radius of the given ball (sphere).

<h3>solution:</h3>

r =  \sqrt[3]{ \frac{3v}{4\pi} }

r =  \sqrt[3]{ \frac{3 \times 905}{4\pi} }

r = 6 \: cm

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ball</u><u> </u><u>is</u><u> </u><u>6</u><u> </u><u>cm</u><u>.</u>

note: refer to the picture I added on how you can change r as the subject of the formula.

8 0
1 year ago
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