Answer:
50.24 yd^2
Step-by-step explanation:
The area of a circle can be found using:
First, we need to find the radius. We have the diameter. The diameter is twice the radius, or
d=2r
We know that the diameter is 8, so we can substitute 8 in for d
8=2r
Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.
8/2=2r/2
4=r
Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.
a=3.14*4^2
Solve the exponent
a=3.14*16
Multiply
a=50.24
The area is 50.24 yards^2
First you find the probability of each coin turning up tails, then you multiply the two probabilities together:
1/2 x 1/2 = 1/4
Answer:
y-3x=2......1
y=-2x-8 ......2
substituting value of y in equation 1
-2x-8-3x=2
-5x=2+8
x=10/-5=-2
substituting value of x in equation 1
y-3×(-2)=2
y+6=2
y=2-6=-4
x=-2
y=-4
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Answer:
1,140,000,000
Step-by-step explanation:
The answer is Difference of Cubes.
Difference of cubes is a³ - b³.
27 can be written as 3³ (= 3 × 3 × 3 = 27). So, a = 3.
8 can be written as 2³ (= 2 × 2 × 2 = 8). So, b = 2.
Difference of cubes can be expressed as:
a³ - b³ = (a - b)(a² + ab + b²)
⇒ 3³ - 2³ = (3 - 2)(3² + 3×2 + 2²) = 1 × (9 + 6 + 4) = 1 × 19 = 19
⇒ 27 - 8 = 19
