Answer:
Find the area of every shape
12 x 9 = 108. Don't divide because there is two
12 x 14 = 168
14 x 9 = 126
15 x 14 = 210
108 + 168 + 126 + 210 = 612
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2 x pi x radius x height + 2 x radius x radius x height
466.5
Step-by-step explanation:
Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
780, or C, is correct. Since 9.75 is 1/80th of the actual measurement, we can set up an equation like this:
9.75 = 1/80x
Then multiply each side by 80:
780 = x
The actual building's height is 780 ft.
We can check this answer by plugging in 780 for x in the original equation:
9.75 = 1/80(780)
9.75 = 9.75
Check! <span>✓</span>
1/7 = 2/14 =
<span>
<span>
<span>
0.1428571429
</span>
</span>
</span>
1/8 = 2/16 = 0.125
2/15 =
<span>
<span>
<span>
0.1333333333
</span>
</span>
</span>
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)