Answer:
These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
Using the formula for the future value of an annuity: FV = P x (1 + rate)^time - 1 / rate)
1st account:
15,000 x (1 + 0.05)^10 - 1 /0.05) = $188,668.39
2nd account:
15,000 x (1 + 0.10)^10 - 1 /0.10) = $239,061.37
Answer:
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Step-by-step explanation:
plz answer
I wish I can help but I forgot how to do this
Based on the APR given, the amount that he'll pay for the month will be $426.95.
<h3>How to calculate the monthly payment </h3>
Since the APR is given as 15%, the monthly interest rate will be:
= 15%/12 = 0.0125
The amount spent is $316, the amount each month will be:
= $316 × 0.0125
= $3.95
Since Marcus has credit card he owed $423 at the beginning, the amount he'll pay for the month will be:
= $423 + $3.95
= $426.95
Learn more about APR on:
brainly.com/question/24703884
