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.
1 cup= 8 fluid ounces, so therefore 5 cups=40 fluid ounces. Hope this helps! :)
Answer:
13.5 and 13.5
Step-by-step explanation:
Answer:
15/100 which equals 3/20
Step-by-step explanation:
Put 100 below to any decimal that has 2 numbers after zero then simplify
Answer:
x=−1 and y=3 or (-1,3)
WORK:
Let's solve your system by substitution.
y=2x+5;y=−3x
Step: Solve y=2x+5 for y:
y=2x+5
Step: Substitute 2x+5 for y in y=−3x:
y=−3x
2x+5=−3x
2x+5+3x=−3x+3x (Add 3x to both sides)
5x+5=0
5x+5+−5=0+−5(Add -5 to both sides)
5x ÷ 5 = -5÷5 (divide both sides with 5)
x=−1
Step: Substitute −1 for x in y=2x+5:
y=2x+5
y=(2)(−1)+5
y=3(Simplify both sides of the equation)
Answer:
x=−1 and y=3
(Incase you needed to show your work)
Hope this helps :)
