The answer would be 22.33 hope this helped
Answer:
10) It increased by appoxamately 17%.
11) 255 decreased by 20%
12) 15 increased by 
%
13) $9,450
14) $149.8
15) $238.5
Step-by-step explanation:
10) 170 is greater than 150 by 25. 25 is 
% of 150, so it increased by appoxamately 17%.
11) 225 is decreased by 45. 45 is 20% of 100, so 255 decreased by 20%
12) 15 is increased by 10. 10 is of 15, so 15 increased by %
13) 5% of 9,000 is 450. 450 + 9,000 is $9,450
14) 7% of 140 is is 9.8. 140 + 9.8 = $149.8
15) 6% of 225 is 13.5. 225 + 13.5 = $238.5
For the answer to the question above, I'll show my solution on how you can solve your problem.
AC² + BC² = AB²
<span>5² + 12² = AB² </span>
<span>25 + 144 = AB² </span>
<span>169 = AB² </span>
<span>13 = AB </span>
<span>Triangle ABC is proportional to triangle ADB. </span>
<span><u>AC </u>= <u>AB </u></span>
<span>AB AD </span>
<span><u>5</u> = <u>13 </u></span>
<span>13 AD </span>
<span>5AD = 169 </span>
<span>AD = 169/5 </span>
<span>AD = 33.8 </span>
<span>AD = AC + CD </span>
<span>33.8 = 5 + CD
</span>So the answer is
<span>CD = 28.8 </span>
Answer:
B. 22
Step-by-step explanation:
We know tan60=
Let common side be x
Tan = opp/adj= sqrt(3)
Transposing we get :
Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.
Solve for x by using Pythagorean theorem:
Hence answer is B. 22
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
