Answer: (A)
Packing material is required to fill the box = 
Step-by-step explanation:
The box is shaped like a rectangular prism
base area = 9/10 square foot
height = 1/3 foot
Volume of a prism = base area X Height
=
Answer:
A. The volume of the prism = 204.7 cm³
Step-by-step explanation:
The difficult part is finding the hight x in the triangle with sides 6 6 and 7.
The half of the base of this triangle = 3,5
So we have the right sided triangle with a hypothenusa of 6, one right side of 3,5 and one right side which is x (and is unknown).
Use Pythagoras to find the value of x.
x² + (3,5)² = 6²
x² = 6² - (3,5)²
x² = 36 - 12,25
x² = 23.75
x = +- SQRT(23.75)
{Only the positive part has a meaning.}
x = 4.873
So now it is easy.
The area of the triangle = 3.5 * x
with x = 4.873
The area of the triangle = 3.5 * 4.873
The area of the triangle = 17.06 cm²
The volume of the prism = 12 * the area of the triangle
The volume of the prism = 12 * 17.06
The volume of the prism = 204.67
rounded on 1 decimal.
The volume of the prism = 204.7 cm³
Answer:
<u>c) 6</u>
Step-by-step explanation:
Given :
⇒ f(x) = x³ + 7x² - x
⇒ g(x) = x² - 3
===============================================================
Finding the degree of g(f(x)) :
⇒ Degree of f(x) = 3
⇒ Degree of g(x) = 2
⇒ Therefore, degree of g(f(x)) = degree of f(x) × degree of g(x)
⇒ Degree of g(f(x)) = 3 × 2
⇒ Degree of g(f(x)) = <u>6</u>
Answer:
2/3
Step-by-step explanation:
Numbers greater than 2 on a 6-sided dice are 3, 4, 5, and 6.
4 possibilities out of 6.
4/6 = 2/3
Answer:
1. A.) Blocks a river and creates a large lake
2. D.) More plant-eating animals would survive
3. D.) Shorter time for plants to produce seeds.
4. B.) Raccoons found more food living near people
5. D.) Make it difficult for animals to move through the forest.
