Answer:
12
Step-by-step explanation:
Formula for the area of the triangle:
1/2 bh
b = base
h = height
#6.
Area = 36 in²
Base = 18 in
36 = 1/2(18)h
36 = 9h
36 ÷ 9 = h
4 = h
height = 4 in
#7.
Area = 2 ft²
Height = 1 ft
2 = 1/2 b (1)
2 = 1/2 b
2 ÷ 1/2 = b
4 = b
Base = 4 ft
#8.
Area = 42 in²
Base = 12 in
42 = 1/2 (12) h
42 = 6h
42 ÷ 6 = h
7 = h
Height = 7 in
Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.
Since you find the area by multiplying things together, for example x · x = x², the exponent is there.
You do not need to worry about this being in the calculation. This will just be in units such as:
cm²
ft²
in²
m²
Just remember to use these exponents in the units for the areas.
Answer:
Step-by-step explanation:
The factor pairs of 6 are 1×6 and 2×3
So the parallelogram (height by length) could be:
1 by 6
2 by 3
3 by 2
6 by 1
Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:

After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:


4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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