SOLUTION: Question 1: A tree casts a shadow that is about 10 ft. long. Javier, who is about 5 ft. tall, is standing near the tree. Javier's shadow is about 4 ft. long. What is the estimaate

Algebra ->  Proportions -> SOLUTION: Question 1: A tree casts a shadow that is about 10 ft. long. Javier, who is about 5 ft. tall, is standing near the tree. Javier's shadow is about 4 ft. long. What is the estimaate      Log On


   

Question 321113: Question 1: A tree casts a shadow that is about 10 ft. long. Javier, who is about 5 ft. tall, is standing near the tree. Javier's shadow is about 4 ft. long. What is the estimaated height, t, of the tree? Question #2: One gallon of paint will cover 400 square feet. How many gallons of paint are needed to cover a wall that is 8 feet high and 100 feet long? Question #3: A wedding cake has a diameter of 12 inches. The cake decorator needs to know how many strawberries he will need to put around the outside, so he needs the circumference. What is the circumference? Leave the answer in terms of pi. Question #4:The speed of an elevator varies inversely withthe weight it carries. If the elevator rises at 10 feet per second when it carries 400 lbs, how fast will it rise when it carries 500 lbs.
Answer by mananth(16946) About Me  (Show Source):
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Question 1: A tree casts a shadow that is about 10 ft. long. Javier, who is about 5 ft. tall, is standing near the tree. Javier's shadow is about 4 ft. long. What is the estimaated height, t, of the tree?
let height of tree be x
x/10= 5/4
The height of tree is about 12.5 feet
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Question #2: One gallon of paint will cover 400 square feet. How many gallons of paint are needed to cover a wall that is 8 feet high and 100 feet long?
Area of wall = 8* 100 feet.
=800 sq. ft.
it is double of 400
so 2 gallons of paint will be rewuired.
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Question #3: A wedding cake has a diameter of 12 inches. The cake decorator needs to know how many strawberries he will need to put around the outside, so he needs the circumference. What is the circumference? Leave the answer in terms of pi. Question
the circumference of a circle = pi*D
= pi*12
So 12pi inches is the circuference
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#4:The speed of an elevator varies inversely withthe weight it carries. If the elevator rises at 10 feet per second when it carries 400 lbs, how fast will it rise when it carries 500 lbs.
s inversely proportional to w
s=kw where k is a constant.
10=k/400
k=4000
..
s= k/w
s=4000/ 500
s= 8 feet / second