Answer:
3(x-1)
Step-by-step explanation:
12+3x-15
-3+3x
3(x-1)
Answer:
96 cm²
Step-by-step explanation:
The lateral surface area (A) is the sum of the areas of the 4 slant faces.
The faces are triangular with area
bh , thus
A = 4 ×
× 8 × 6 = 2 × 48 = 96 cm²
Answer:
<h2>The diagonal of the volumetric figure is 7 units long.</h2>
Step-by-step explanation:
The figure is attached.
Notice that the dimensions of the prism are

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.
Let's use the Pythagorean's Theorem

This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.
Let's use again Pythagorean's Theorem

Therefore, the diagonal of the volumetric figure is 7 units long.
Answer:
$9,360
Explanation:
- $9 per hour, rewrite: 1 hour he earned $9
so for 1040 hours, he earned:
$9 * 1,040
$9,360
The slope is 30... each week he gains 30 dollars