Answer:
Option C ![25.64\ in^{2}](https://tex.z-dn.net/?f=25.64%5C%20in%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of a circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
![r=7\ in](https://tex.z-dn.net/?f=r%3D7%5C%20in)
substitute
![A=\pi(7)^{2}=49\pi\ in^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%287%29%5E%7B2%7D%3D49%5Cpi%5C%20in%5E%7B2%7D)
Remember that
degrees subtends the complete area of the circle
so
by proportion
Find the area of the blue sector for an angle of
degrees
![\frac{49\pi}{360}=\frac{x}{60}\\ \\x={49\pi*60/360](https://tex.z-dn.net/?f=%5Cfrac%7B49%5Cpi%7D%7B360%7D%3D%5Cfrac%7Bx%7D%7B60%7D%5C%5C%20%5C%5Cx%3D%7B49%5Cpi%2A60%2F360)
![x=25.64\ in^{2}](https://tex.z-dn.net/?f=x%3D25.64%5C%20in%5E%7B2%7D)
Answer:
12+# OR 12+x
Step-by-step explanation:
Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.
Answer:
y = 3x - 7
Step-by-step explanation:
The <em>point-slope formula</em> for a straight line is
y – y₁ = m(x – x₁)
x₁ = 4; y₁ = 5; m = 3 Substitute the values
y – 5 = 3(x - 4) Remove parentheses
y – 5 = 3x - 12 Add 5 to each side
y = 3x - 7
The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.
Step-by-step explanation:
1 day = $ 26.95
3 days = 26.95 × 3
= $80.85
Remainder = $100 - $80.85
= $19.15
1 mile = $ 0.27
= $19.15 ÷ $0.27
= 71 miles
168/3=56. 56 miles per hour.