Answer:
100000000
Step-by-step explanation:
6 times 10 to the 8th is 600,000,000
5 times 10 to the 7th is 500,000,000
600,000,000-500,000,000=100,000,000
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay=
=48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 

The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
54 cups of flour
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8