The volume of the sculpture with triangular pyramid shape is 40 feet³
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a pyramid is given as:
Volume = (1/3) * base area * height.
For pyramid with base of 12 feet² and height 10 feet, hence:
Volume = (1/3) * 12 * 10 = 40 feet³
The volume of the sculpture with triangular pyramid shape is 40 feet³
Find out more on volume at: brainly.com/question/12410983
Answer:
h(-2) = 1
Step-by-step explanation:
h(t)=t^2+2t+1
h(-2) = (-2)^2 +2(-2) +1
= 4 -4 +1
= 1
Assuming that these are seperate equations:
<h3>Problem 1: x^2-5x-6</h3><h3>Problem 2: x^2+3x-40</h3><h3>Problem 3: x^2-7x-30</h3>
Problem 1:
1) Use the sum-product pattern.
x² - 5x - 6
x² + x - 6x - 6
2) Common factor from the two pairs.
x² + x - 6x - 6
x (x + 1) - 6 (x + 1)
3) Rewrite in factored form.
x (x + 1) - 6 (x + 1)
(x - 6) (x + 1) ----> Answer
Problem 2:
1) Use the sum-product pattern.
x² + 3x - 40
x² + 8x - 5x - 40
2) Common factor from the two pairs.
x² + 8x - 5x - 40
x (x + 8) - 5 (x + 8)
3) Rewrite in factored form.
x (x + 8) - 5 (x + 8)
(x - 5) (x + 8) ----> Answer
Problem 3:
1) Use the sum-product pattern.
x² - 7x - 30
x² + 3x - 10x - 30
2) Common factor from the two pairs.
x² + 3x - 10x - 30
x (x + 3) - 10 (x + 3)
3) Rewrite in factored form.
x (x + 3) - 10 (x + 3)
(x - 10) (x + 3) ----> Answer
Cheers,
ROR
x + x + 2 + x + 4 = 51
3x + 6 = 51
3x = 45
x = 15
So second number in the sequence is 15 + 2
= 17 (answer)