Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
<u>Given variable</u>
θ = 270°
r = 7 mi
<u>Given formula</u>
A = (θ / 360) πr²
<u>Substitute values into the formula</u>
A = (270 / 360) π (7)²
<u>Simplify exponents</u>
A = (270 / 360) π 49
<u>Simplify by multiplication</u>
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
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Answer:
True
Step-by-step explanation:
The communative property states that the order in addition and multiplication dosen't matter.
Answer:
y=12x+3
Step-by-step explanation:
when parallel the slopes need to be the same but the y-intercept has to change
Answer:
150
Step-by-step explanation:
30 + 30 + 45 + 45 = 150
Answer:
x=8.5
Step-by-step explanation:
To solve this equation, we want to find out what x is. To do this, we need to get x by itself.
Perform the opposite of what is being done to the equation. Remember to perform everything to both sides.
4(x-5)=14
4 is being multiplied by x-5. The opposite of multiplication is division. Divide both sides by 4.
4(x-5)/4=14/4
x-5=14/4
x-5=3.5
5 is being subtracted from x. The opposite of subtraction is addition. Add 5 to both sides.
x-5+5=3.5+5
x=3.5+5
x=8.5
Let's check our solution. Plug 8.5 in for x in the original equation.
4(x-5)=14
4(8.5-5)=14
4(3.5)=14
14=14
Both sides of the equation are the same, so we know our solution, <u>x=8.5 </u>is correct.