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Oksanka [162]
2 years ago
9

On a hot day, a fan has a mark on the tip of one blade. The equation y

Mathematics
1 answer:
stellarik [79]2 years ago
8 0
<h3>Answer:  5 cm</h3>

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

Explanation:

Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).

Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:

20*cos(x)+25

20*(-1) + 25

-20 + 25

5

The height of the fan tip is 5 cm when it is the closest to the table.

Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is 5 \le y \le 45

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Solve the inequality |6x + 2| &lt; 10 and graph its solution.
mars1129 [50]
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

  (6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12        Divide both sides by 6.
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     x > -2.

Combined solution:   x < 4/3  and x > -2

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Graph is a line on the number line between -2 and 4/3.  
 
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2 years ago
What's the sum of 86.703 + 12.197​
Ira Lisetskai [31]
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5 0
3 years ago
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Help with formulas and explain
Vlad [161]

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VOLUME=AREA OF *LENGTH[ 5.56]

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3 years ago
A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet of grain can the bin hold
dimaraw [331]

Answer:

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Step-by-step explanation:

The question concerns the volume of the cylinder.

The formula of the volume is:

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3 years ago
398.574986215 to the nearest ten-thousandth.
Julli [10]

Answer: 398.5750

Step-by-step explanation:

It is important to remember that the fourth digit after the decimal point is in the ten-thousandth place.

Then, given the  following number:

398.574986215

You can follow these steps in order ti round it to the nearest ten-thousandth:

1. You can identify that the digit in the ten-thousandth place is:

9

2. Identify the digit to the right of 9. This is:

8

3. Since:

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398.5750

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3 years ago
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