Answer:
2,294.66 square inches
Step-by-step explanation:
The area of an octagon is given by the formula:
A = 2 * a² * ( 1 + √2 )
So, if we input the numbers we have:
A = 2 * 21.8² * ( 1 + √2 )
A = 2 * 475.24 * (2.4142)
A = 2,294.66 square inches
As you can see, if you double the side of an octagon, its area will quadruples, which is logic since the one variable in the calculation of the area is the side's length... that is squared. So, if you double it, that double factor is squared.
It's as if we had written
A = 2 * (10.9 * 2)² * ( 1 + √2 )
A = 2 * (10.9² * 2²) * ( 1 + √2 )
Answer:
good luck dont ty to get it wrong
X=Since you have an angle, a hypotenuse, and the opposite side, we can use:
sin(x)=opposite/hypotenuse
sin(60)=x/8 (cross multiply)
sin(60)*8=x
√3/2*8=x
x=8√3/2
x=4√3 so the answer is B
Hope this helps
X = No. of professors
x + 14x = 37,500
(No. of professors + 14 times the no. of professors = total)
Add.
15x = 37,500
Isolate x by eliminating 15.
15x/15 = 37,500/15
x = 2,500
There are 2,500 professors in the college.
37,500 - 2,500
(Total - no. of professors = no. of students)
= 35,000
There are 35,000 students in the college.
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