Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
You need two terms that multiply to (12x-4). The term on the outside needs to be a common multiple of 12 and 4. The common factors are 1, 2, and 4. Here are the following possible dimensions:
1(12x-4)
2(6x-2)
4(3x-1)
Hope this helps.
3/8 cups of oil
Step by step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by 2/3 cup of water = 1/4
Oil required by 1 cup of water = 1/4
= 2/3
= 3/8
Hence cups of oil is needed for per cup of water.
Answer:
Step-by-step explanation:
Take out 8m as a factor from the top side of the equation. You are left with 
