Answer:
Step-by-step explanation:
The formula for the circumference of a circle in terms of diameter is ...
C = πd
Then the diameter is ...
d = C/π
If we use π ≈ 22/7 and C = 66 ft, then we find the diameter to be ...
d = (66 ft)/(22/7) = (66 ft)(7/22) = 21 ft
The diameter of the pool is about 21 feet.
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Since Carlos needs 4 more feet of rope, he will want to buy 25 feet of rope for a cost of ...
(25 ft)($0.45 /ft) = $11.25
Carlos will pay $11.25 for the rope.
Answer:
D
Step-by-step explanation:
Any number multiplied by an even number will always be even. 10 is an even number.
Answer:
1. The change per week is $40 as it is the coefficient.
2. The starting amount is $550 as it is the constant.
Answer:
m=2
Step-by-step explanation:
Answer:
13. x = 52.8°
14. 663.65 ft
15. 30.7 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.
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<h3>13.</h3>
The sides adjacent and opposite the angle are marked. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 2.5/1.9
The angle is found using the inverse tangent function:
x° = arctan(2.5/1.9) ≈ 52.8°
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<h3>14.</h3>
Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.
Tan = Opposite/Adjacent
tan(11°) = (129 ft)/(distance to shore)
distance to shore = (129 ft)/tan(11°)
distance to shore ≈ 663.65 ft
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<h3>15.</h3>
In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.
Sin = Opposite/Hypotenuse
sin(71°) = (29 ft)/(ladder length) . . . . substitute given information
ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length
ladder length ≈ 30.7 ft