Answer:
<h2>A = 60 in²</h2><h2 />
Step-by-step explanation:
a = 12 in
b = 8 in.
h = 6 in.
<u>plugin values into the formula:</u>
A = 1/2 h(a + b)
A = <u>(12 + 8) </u> x 6
2
A = 60 in²
Answer: 112 km
=====================================================
Work Shown:
(5 miles)/(8 km) = (70 miles)/(x km)
5/8 = 70/x
5*x = 8*70 ... cross multiply
5x = 560
x = 560/5 .... divide both sides by 5
x = 112
According to the given estimation, 70 miles converts to 112 km.
The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.
Answer:
For the first question, the answer is 216 and the equation would become just 6^3
For the second, the answer is 9.
Step-by-step explanation:
When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.
When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).
When explained throughly this might be found confusing, but it's a very easy concept to get after a while.
This situation is represented by the following disjoint inequality:

---------------------------
- The format of a <u>disjoint inequality</u> is:

- Which is read as: x is more than a or at most b.
---------------------------
- In this question, we have number m more than
and at most -10, thus, the disjoint inequality that represents this situation is:

A similar problem is given at brainly.com/question/24528399