A^2 = b^2 + c^2 - 2bc cos a
= 11^2 + 5^2 - 2*5*11 cos 40
= 7.86 to 2 DP's
to find the remaining angles use the sine rule:-
a / sin A = b / sin B so
7.857/ sin 40 = 11 / sin B
sin B = 11 sin40 / 7.857 = 0.8999
<B = 64 degrees
so <C = 180 - 64-40 = 76 degrees
Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:

Step-by-step explanation:
Given
Required
Determine an expression for the area
Area is calculated as:


Expand

Collect like terms


Answer:
4:
a.) 49x^2-36y^2
b.) 9a^2-25b^2
c.) 1/25x^2-49
5: b.) -5x^2-4xy+4y^2
Step-by-step explanation:
Answer: 108
Step-by-step explanation:
Answer:
The correct answer is x^2 + x + 1.
Step-by-step explanation:
A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.
x^2 - x - 2 = (x - 2)*(x + 1)
x^2 - 12x + 11 = (x - 11)*(x - 1)
x^2 + 2x - 8 = (x + 4)*(x - 2)
Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.
Hope this helps!