Answer:

Step-by-step explanation:
we know that
The formula of law of cosines is equal to

where
a, b and c are sides. C is the angle opposite side c
In this problem we have

substitute the given values






Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
Part 1) Find AC
we know that
In the right triangle ABC of the figure
Applying the Pythagorean Theorem

substitute the given values


Part 2) Find the measure of angle A
we know that
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the values

using a calculator

Part 3) Find the measure of angle C
we know that
In the right triangle ABC
----> by complementary angles
substitute the given value


F(g(2))
g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15
f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==
ur answer is -7
<u>c.)44 kilometers</u>
Answer:
Solution given:
let
length =L
and
Area =A
Now
we have
Area [A]=1936 square kilometers
now
As we know that
Area of square :length *length
A=l*l
A=l²
Substituting value of A
1936=l²
doing square root on both side

we get
l=
l=2*2*11
l=44 kilometers
So
<u>the length of one side of a </u><u>square</u><u> </u><u>is</u><u> </u><u>4</u><u>4</u><u> </u><u>kilometers</u><u>.</u><u />
Answer:
D: 2y = 8x - 10
Step-by-step explanation:
A: y = 4x + 5. This has a slope of -4 Yes it could work.
B: y = 4x - 5. No It does not work
C: 2y = 8x - 10. The slope is 8/2 = 4. So No it could not work.
<u>D: -2y = 8x - 10. The slope is 8/-2 = -4. Yes This Does work! :)</u>
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