Answer: Approximately 8.49 feet
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Explanation:
Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.
Refer to the diagram below.
We'll use the sine rule to find x
sin(angle) = opposite/hypotenuse
sin(45) = x/12
12*sin(45) = x
x = 12*sin(45)
x = 8.48528137423857
x = 8.49
This value is approximate.
Make sure your calculator is in degree mode.
I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = 
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = 
(100 + __ )+ 290 - 67.0034 = 411.9966
First add 67.0034 to both sides:
(100 + __ )+ 290 = 479
Now subtract 290 from both sides:
(100 + __ ) = 189
Subtract 100 from both sides:
189-100 = 89
The missing value is 89
Answer:
Step-by-step explanation:
do this in parts, take the rectangle in the middle and then the two ends as a whole circle. :)
the rectangle: perimeter : 2*10 ft + 2* 6ft= 32ft
the area: 10*6 = 60 
The circle: perimeter: circumference of circle = 2
r or diameter (same thing)
6 =18.84955592 ft
area: area of a circle is 
= 28.27433388
add the two part for the totals
total perimeter is: 32 +18.84955592 = 50.84955592 ft
total area is: 60 + 28.27433388 = 88.27433388
I was having a little trouble finding how to get from 64->75, but it’s not too hard
8^2 = 64
8^1 = 8
8^2 + 8^1 = 72
8^0 = 1
8^(1/3) = 2
8^2 + 8^1 + 8^0 + 8^(1/3) = 75
