Answer:
A = 981.3 ft^2
Step-by-step explanation:
Here we're calculating the area of a semicircle of radius 25 ft.
The area of a circle is A = (pi)(r)^2, and that of a semicircle of the same radius is A = (1/2)(pi)(r)^2.
Here pi = 3.14 and r = 25 ft, and so the area/space in question is
A = (1/2)(3.14)(25)^2
A = 981.3 ft^2
Answer:
(a) 99%
(b) 50%
Step-by-step explanation:
(a) All factorials after 1! have 2 as a factor, so are even. Thus 99 of the 100 factorials are even, for a probability of 99%.
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(b) The first two sums are odd; the next two sums are even. The pattern repeats every four sums. There are 25 repeats of that pattern in 100 sums, so 2/4 = 50% of sums are even.
For this case, the first thing we must do is define variables.
We have then:
d: number of dimes
q: number of quarters
We now write the system of equations that models the problem.
We have then:
He has a total of 30 coins:
The toal value of Kyles coins is $ 4.80:
Answer:
A system of equations that can be used to find the number of dimes, d, and the number of quarters, q, kyes has is:
Answer:
582.1
Step-by-step explanation:
Step-by-step explanation:
4x + 2y = 10 --------(1)
2x + 3y = 33 -----------(2)
Multiply 2 with eq. (1) and 4 with eq. (2)
8x + 4y = 20 ____________(3)
8x + 12y = 132 ______(4)
Subtracting (3) from (4),
8x + 4y = 20
- 8x -12y = -132
----------------------
0 -8y = -112
y = 112/8
y = 4 is the answer.
Putting the vakue of y in eq. (2),
2x + 12 = 33
2x = 33-12
2x = 21
x = 21/2 is the answer.
