To look for the area of a sector of a circle, the following formula is used:
Area = ( n / 360 ) * pi * r^2
Where: n = measure of arc in degrees
pi = 3.1416
r = radius
Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:
Area = ( n / 360 <span>) * pi * r^2
</span>Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2
Therefore, the area of the sector of the circle is 25.133 sq. in.
Hey there!
Let's set up our expression:
(7a-6b+7)-(8a-2)
In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:
7a-6b+7-8a+2
Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:
(7a-8a) - 6b + (7+2) =
-a - 6b + 9
Hope this helps!
Answer:
90
Step-by-step explanation:
There are 12 inches in a foot.
So you will take the 7 feet and multiply it by 12
This gives you 84 inches
You then take the 6 inches over the 7 feet and add to the 84 inches
Thus you get 90 inches.
Answer:
(x - 5i)(x + 5i)
Step-by-step explanation:
Find the roots by solving x² + 25 = 0
hence x² = - 25 ( take the square root of both sides )
x = ± 5i
x² + 25 = (x - 5i)(x + 5i)
Step-by-step explanation:
Sa = b • h/ 2 = 5 • 11 /2 = 55/2 = 27.5ft²
