Answer:
D. x = 5.4, y = 6.67
Step-by-step explanation:
The triangles are similar as per problem description, so the ratios match:
y/5 = 4/3
x/3 = 9/5
let's solve:
y/5 = 4/3
3y/5 = 4
3y = 20
y = 6.(6)
x/3 = 9/5
5x/3 = 9
5x = 27
x = 5.4
Answer:
Step-by-step explanation:
Remark
All you need do is find the radius and put it into the formula V = (4/3) pi r^3.
Givens
d = 12 yards
r = d/2
Solution
r = 12 yds/2 = 6 yds
V = 4/3 pi r^3
V = 4/3 * 3.14 * 6*6*6
V = 904.32
Answer 904.4 yd^3
Answer:
4) x^10
Step-by-step explanation:
1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.
2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.
3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.
4) (x^2*x^4)^4÷x^8
First do what's in the parentheses,
(x^2*x^4) = x^6
Next do the exponents,
(x^6)^3 = x^18
Lastly the division,
x^18÷x^8 = x^10
x^10 is our answer.
Answer:
Step-by-step explanation:
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