Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
-34(x+2)=6
Distribute the -34
x(-34) +2(-34)=6
-34x-68=6
Add 68 to both sides
-34x-68+68=6+68
-34x=74
Devide both sides by -34
x=-37/17
x= 2 3/17
Answer:
$90
Step-by-step explanation:
The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.
Annual Rate of interest offered to Sharon is 12%
Time interval for the loan transaction is 1 year.
So the interest for 1 year is given by \[Principal * Rate * Year /100\]
\[750 * 12 * 1 /100\] = $90
So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.
Answer:
13 pieces
Step-by-step explanation:
We are given that each pie was cut into 8 pieces .
therefore 1 pie is equal to 8 pieces
1 pie = 8 pieces
Lonna gave 13/8 pie to her neighbor .
So multiply both sides with 13/8 in the above equation in order to make the right side into 13/8 pie and to find the corresponding number of pieces .
1×
pie=8× pieces
pie = 13 pieces
