To answer this question, you must first isolate the given variable, a. Treat the < sign as an equal sign, in that what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 8a and add 6 to both side inequality.

a (-8a) - 6 (+6) < 15 (+6) + 8a (-8a)

a - 8a < 15 + 6

-7a < 21

Next, isolate the variable, a, by dividing -7 from both sides of the equation. Note that, when dividing or multiplying by a negative number, you must flip the sign:

(-7a)/-7 < (21)/-7

a < 21/-7

a > -3

a > -3 is your answer.

4 0

3 years ago

Jim is building a model of a square pyramid for a class project. The side length of the square base is 20 inches and the slant h

Brums [2.3K]

Answer:

$SA = 920 inches^{2}$

Step-by-step explanation:

Given Data:

Slant height of square pyramid = l = 13 inches

Base edge of square pyramid = s = 20 inches

To Find Out:

Surface area of square pyramid = SA = ?

Formula:

$SA = s^{2} + 2 * s * l$

Solution:

$SA = s^{2} + 2 * s * l$

$SA = 20^{2} + 2 * 20 * 13$

$SA = 400 + 520$

$SA = 920 inches^{2}$

3 0

3 years ago