In a school with 5,000 students, a random sample of 100 students finds that 25 are in favor of school uniforms. Estimate the tot
2 answers:
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Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is ≅
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ =
Sin =
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
Answer:
The volume is decreasing at the rate of 1.396 cubic inches per minute
Step-by-step explanation:
Given
Shape: Cone
--- rate of the radius
--- rate of the height
Required
Determine the rate of change of the cone volume
The volume of a cone is:
Differentiate with respect to time (t)
Substitute values for the known variables
The volume is decreasing at the rate of 1.396 cubic inches per minute