Answer:
Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.
The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have
Therefore, the slant height is the square root of 5, in yards units. (A)
The surface of the composite figure is the sum of the surface area of both volumes.
Therefore, the surface of the composite figure is 32.9 square yards. (B)
The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.
Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)
Answer:
x = 3
Step-by-step explanation:
4x+6x - 7 = 23
10x - 7 = 23
10x = 30
x = 3
Answer:
The center is at (0,-7) and the radius is 7
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
x^2+(y+7)^2=49
Rewriting
(x-0)^2 + (y- -7)^2 = 7^2
The center is at (0,-7) and the radius is 7
The answer is $3000. You first want to set up a proportion, so 750/9000=1000/x. Then you will cross multiply to get (9000)(1000)=750x. Divide both sides and you will get x=12000. However, the question is asking how much is remaining, so we want to find the difference of 12000 and 9000, which ends up being $3000.
Answer:
2240
Step-by-step explanation:
7% of 8000 is 560, and 28% of 8000 is 2240. 560 x 4 is also 2240.