Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
Capacity of the pool = 30 x 20 x 5 = 3000 ft³
Amount of water already filled = 30 x 20 x 4 = 2400 ft²
Amount of water needed to full the pool = 3000 - 2400 = 600 ft²
---------------------------------------------------------------------------------------
Answer: 600 ft² of water is needed to fill up the pool.
---------------------------------------------------------------------------------------
first, rewrite 54 as 6•9
next, rewrite 42 as 6•7
then, that gets you 6x^2 -6•7x- 6•9
lastly, factor out the common term (6)
and then you get 6(x^2-7x-9)
<u>please mark as brainliet <3</u>
Answer:
The answer is 17
Step-by-step explanation:
8^2+15^2=c^2
64+225=c^2
289=c^2
Square root both sides
c=17
We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.
We will see that the sum tends to infinity.
So we have 5 terms;
A, B, C, D, E.
We know that the sum of each term and its neighboring terms is 15 or 25.
then:
- A + B + C = 15 or 25
- B + C + D = 15 or 25
- C + D + E = 15 or 25
Now, we want to find the sum of all the terms in the sequence (not only the 5 given).
Then let's assume we write the sum of infinite terms as:

Now we group that sum in pairs of 3 consecutive terms, so we get:

So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.
Then we have:

If you want to learn more, you can read:
brainly.com/question/21885715