What number reduced by 14 percent equals 3440?
1 answer:
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Answer:
Option A.) 43°
Step-by-step explanation:
Part 10)
step 1
Find the length of side EG
see the attached figure to better understand the problem
we know that
In the right triangle EGF
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
solve for EG
step 2
Find the measure of angle D
In the right triangle DEG
----> by TOA (opposite side divided by adjacent side)
substitute the given values
<em><u>Simplified </u></em><em><u>Recap:</u></em>
PQR and XYR are similar.
PQ: 4 inches (shortest side)
PR: 9 inches
QR: 12 inches (longest side)
<em><u>Solving:</u></em>
Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.
Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.
Therefore, our answer is 48.
Answer:
We want to expand the expression:
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
Now we can expand each one these two factors:
That can be simplified to
Now we can replace that in our original expression to get:
Now we can expand that last product, to get:
We can simplify that to:
That is the expanded expression.