Answer:
V = 567 ft³
Step-by-step explanation:
V = Bh
<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>
<em />
The right triangle is the triangular prism's base.
Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.
- We can identify the base easily because the base and the top of the prism are exactly the same shape
Area of triangular base:
A = 
A = 
(9 ⋅ 9)
A = (81)
A = 40.5
We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.
Volume of triangular prism:
V = Bh
V = (40.5)(14)
V = 567 ft³
Using the Pythagorean Theorem, the height of the equilateral triangle is given by:
A. 
inches.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs 
and 
of a right triangle with the length of the hypotenuse h, according to the following equation:
For this problem, we have that:
- The height is one side of the triangle.
- The other side is half the length, of 7 in.
- The hypotenuse is the length, of 14 in.
Hence the height is found as follows:
inches.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
#SPJ1
Answer:
Slope of the line is 
.
Step-by-step explanation:
Given points are:
(10, 3) and (7, 11)
Here,
x1 = 10 and y1 = 3
x2 = 7 and y2 = 11
Slope of a line is given by
Therefore,
Slope of the line is .
Answer:
p = −1
Step-by-step explanation:
1. Regroup terms.
−6 (p + 8) = 7p − 35
2. Expand.
−6p − 48 = 7p − 35
3. Add 6p to both sides.
−48 = 7p − 35 + 6p
4. Simplify 7p − 35 + 6p to 13p −35.
−48 = 13p − 35
5. Add 35 to both sides.
−48 + 35 = 13p
6. Simplify −48 + 35 to −13.
−13 = 13p
7. Divide both sides by 13.
−1 = p
8. Switch sides.
p = −1
