Answer:
8
Step-by-step explanation:
The lateral area of a cone is ...
LA = (π/2)ds
where d is the diameter, and s is the slant height.
The area of this tower roof is about ...
LA = (π/2)(12 ft)(13 ft) = 78π ft² ≈ 245 ft²
About 245/32 = 7.7 bundles of shingles will be required for coverage.
You should buy 8 bundles of shingles to cover the roof.
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = (x - 4)(2x - 1)²(x - 2)²
To find the roots equate f(x) to zero, that is
(x - 4)(2x- 1)²(x - 2)² = 0
Equate each of the factors to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 1 = 0 ⇒ x = 
← with multiplicity 2
x - 2 = 0 ⇒ x = 2 ← with multiplicity 2
Hence the roots are
{ 4, , 2 }
Given
f(x) = x³ + 4x² + 7x + 6
Note that
f(- 2) = (- 2)³ + 4(- 2)² + 7(- 2) + 6 = - 8 + 16 - 14 + 6 = 0
Since f(- 2) = 0 then by the factor theorem x = - 2 is a root and (x + 2) a factor
Using synthetic division
- 2 | 1 4 7 6
- 2 - 4 - 6
--------------
1 2 3 0
Thus
f(x) = (x + 2)(x² + 2x + 3)
Solve x² + 2x + 3 using the quadratic formula
with a = 1, b = 2 and c = 3
x = (- 2 ± 
) / 2
= ( - 2 ± 
) / 2
= ( - 2 ± 
) / 2
= (- 2 ± 2i
) / 2
= - 1 ± i
Hence roots are
{ - 2, - 1 + i, - 1 - i }
10 weeks because there are 100 cm in a meter so 30x10 = 300 and 300 divided by 100 is 3.
