Answer:
1260
Step-by-step explanation:
First you will need to find the amount of sides of the polygon:
(After looking it is 9)
Each angle of the side of a nonagon is 140 degrees.
Multiply by 9 since you can make 9 triangles:
140 x 9 = 1260
Answer:
44,602.2 (c)
Step-by-step explanation:
The volume of a sphere is found by using the equation:
The radius is shown to be 22cm just plug it in and see that the equation produces the value: 44,602.2
Answer:
area= 1/2*(h*b) h- height, b- base
the triangle is isosceles (denoted by the 2 dashes on the sides of the triangle)
so they are equal in length
angles in triangle = 180
so 38+38=76
180-76=104
base=24
divide the triangle in the center
so now triangle 1(left) the base = 12
and triangle 2(right) the base = 12
use trigonometric ratios
in this we need to find the height
which is opposite of 38,
we already have the adjacent =12
so the ratio is Tan (Tangent Opposite/Adjacent)(TOA)
Tan38= (12/h)
multiply by h
h*Tan38=12
h=12/tan38 = 15.35929959
Answer:
Step-by-step explanation:
Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.
We use -7 as the divisor in synth. div. This comes from the factor (x + 7):
-7 / 1 3 2 -8
-7 28 -210
-------------------------
1 -4 30 -218
Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.
Answer:
see explanation
Step-by-step explanation:
Using proportion to find the teachers required x, then
= 
( cross- multiply )
221x = 3536 ( divide both sides by 221 )
x = 16
The number of teachers required this year is 16
