Mary
Because according to PEMDAS, Parenthesis always start first
Answer:
- x = 37 1/2
- x = 2
Step-by-step explanation:
Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.
1. x/20 = (46 -16)/16
x = 20(30/16)
x = 37.5
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2. (x +4)/13.5 = 4/9
x +4 = 13.5(4/9) = 6
x = 6 -4
x = 2
<u>Given</u>:
The given expression is 
We need to determine the exponents in simplified form.
<u>Exponents in simplified form:</u>
Let us determine the exponent in simplified form.
Let us apply the exponent rule 
Thus, we have;

Adding the fractions, we get;

Cancelling the common terms, we have;

Simplifying the exponent, we get;

Adding the exponent, we have;

Thus, the simplified form of the expression is 
Answer:
We are looking for the amount of wax it will take to fill up that size candle mold to make that candle. That means that we are looking for the volume of wax, and the shape is a cylinder. The volume formula for a cylinder is
For us, that will look like this:
which translates to
V = 3.14(9)(5) which gives us a volume of 141.3 cubic inches. Rounding to the nearest cubic inch is simply 141 cubic inches of wax.
Step-by-step explanation:
Answer:
x = 12 or 
Step-by-step explanation:
Find the length of x for one side of the triangle first. To do this, use the Pythagorean Theorem which states: a² + b² = c² or in this case c² - a² = b². c² is 45 and a² is 3*3 or 9. Subtract 45-9 to get 36. Find the square root of 36 to get 6. The opposite side is also going to have a missing side length of 6 so add 6+6 to get 12 as x.
Hope it helps!