A. 6
There will be 6 layers of cubes, since the height is 3 centimeters and the height of the cubes is 1/2
B. 24
The perimeter is the formula 2l+ 2w. With the length and width being 8 and 4, you get 16+8 which is 24 for the perimeter of the base
Answer
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
3 miles ÷ 2
2 hours ÷ 2
=
1.5 miles
1 hour
=
1.5 miles
hour
= 1.5 miles per hour
Equilateral triangles have three equal angles, so we right away know that x=60º. Then, we just solve (3(60)-70)º, which is 110º, for the answer.
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
10x + 7y = - 8 → (1)
7x + 7y = - 14 → (2)
Subtract (2) from (1) term by term to eliminate y
(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
10(2) + 7y = - 8
20 + 7y = - 8 ( subtract 20 from both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution to the system of equations is (2, - 4 )
<span>So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.</span>
