Step-by-step explanation:
Given
- 4( 3x - 5 ) > - 28
Dividing both sides by - 4 we get
3x - 5 > 7
Adding 5 on both sides we get
3x - 5 + 5 > 7 + 5
3x > 12
Dividing both sides by 3 we get
x > 4
To find the volume of a triangular pyramid, the formula is:

So we start by finding the area of the base, which is in the shape of a right triangle in this case.
The area of a right triangle is equal to 1/2 x base x height.

We use this area to find the volume.

The volume of the triangular pyramid is 30 cubic feet.
7√7
using the ' rule of radicals '
• √a × √b ⇔ √ab
simplifying the radicals
√28 = √(4 × 7 ) = √4 × √7 = 2√7
√63 = √(9 × 7) =√9 × √7 = 3√7
√112 = √(16 × 7 ) = √16 × √7 = 4√7
substituting into the expression
3(2√7) - 5(3√7) + 4(4√7) = 6√7 - 15√7 + 16√7 = 7√7
Answer:
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Step-by-step explanation: