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!
Answer:
8370
Step-by-step explanation:
(31x15)108 = (465)108
= 50220/6
= 8370
Answer: Total number of bracelet: 235
Step-by-step explanation:
Given:
Total budget= $1,500
Spend on wire = $250
Per braclet beads = $5.30
Find:
Total number of bracelet
Computation:
Total number of bracelet = [1,500 - 250]
Total number of bracelet = [1,250/ 5.30
Total number of bracelet = 235.849
Total number of bracelet = 235 [By round minium]
Answer:
18.18 miles.
Step-by-step explanation:
A truck uses 1 tablespoon of gasoline to drive 125 yards.
Now, 1 gallon of gasoline contains 256 tablespoons of gasoline.
So, the truck uses 1 gallon i.e. 256 tablespoons of gasoline to drive (256 × 125) = 32000 yards.
Now, 1-mile distance contains 1760 yards.
Therefore, the truck uses 1 gallon of gasoline to drive 
miles. (Answer)
