Answer:
We have the sentence:
"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"
Let's break it into parts.
"X by the power of 5 times y to the power of 6..."
This can be written as:
x^5*y^6
"... 2 by the power of -2 times x by the power of 0times x by the power of 9"
This can be written as:
2^(-2)*x^(0)*x^(9)
And we have the quotient between the first thing and the second thing, then the equation is:
And any number by the power of 0 is equal to 1, then:
x^0 = 1, then we can rewrite the equation as:
We can keep simplifying this.
We know that:
a^(-n) = (1/a)^(n)
Then:
2^(-2) = (1/2)^2 = 1/4
Then we get:
And we also know that:
a^n/a^m = a^(n - m)
Then:
And we can't simplify this anymore.
A+B=15 —>A+15=B(plug this into the other equation)
60a+30b=600
60a+30(a+15)=600
60a+30a+150=600
90a+150=600
90a=450
A=5 (plug back in to first equation)
A+B=15
5+B=15
B=10
They have 5 of the Model A and 10 of model B.
Answer:
- circumference: 62.8 ft
- area: 314 ft²
Step-by-step explanation:
The circumference is given by the formula ...
C = πd
Using the given numbers, the circumference is ...
C = (3.14)(20 ft) = 62.8 ft
__
The area is given by the formula ...
A = πr² . . . . . where radius r is half the diameter
Using the given numbers, the area is ...
A = 3.14(10 ft)² = 314 ft²
Answer:
The ferris wheel travelled 434.717 ft.
Step-by-step explanation:
Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:
radius = height/2 = 246/2 = 123 ft
The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:
length = r*(angle in radians)
length = 123*(9pi/8)
length = 434.717 ft
The ferris wheel travelled 434.717 ft.
