<h3>
Answer: 5 cm</h3>
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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 
The answer is A
5 x 129.95 = 649.75
649.75 + 76.20 = 725.95
Answer:
Step-by-step explanation:
<u>Midpoint of JK:</u>
- x = (-12 + 8)/2 = -4/2 = -2
- y = (3 - 5)/2 = -2/2 = -1
<u>Slope of the line JK:</u>
- m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5
Perpendicular lines have negative reciprocal slopes.
So the line r has a slope 5/2 and passes through the point (-2, -1)
<u>Equation of r:</u>
- y = 5/2x + b
- -1 = 5/2(-2) + b
- -1 = -5 + b
- b = 5 - 1
- b = 4
<u>So the equation is:</u>
(-1, 0)
Start by adding -2x to both sides of the second equation. Then substitute that equation into the first.
3x+3(2x+2)=-3
Solve the equation for x.
When you've found the value of x, substitute that value into the equation with the isolated y.
y=2(-1)+2
Answer:
70%
Step-by-step explanation:
Two Steps to Convert a Fraction to a Percent
Use division to convert the fraction to a decimal:
7/10 = 7 ÷ 10 = 0.7
Multiply by 100 to get the percent value:
0.7 × 100 = 70%
Therefore the answer is 70%.
