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Scrat [10]
3 years ago
11

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

x = 14.25

Step-by-step explanation:

Start with a^2 + b^2 = c^2

a = 11

b = x

c = 18

plug in and solve

11^2 + x^2 = 18^2

121 + x^2 = 324 - Simplify

x^2 = 203 - subtract 121 from both sides

x = 14.247 rounds to 14.25 - square root on both sides

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8 0
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Find the 7th term of the expansion of (3c + 2d)^9.
defon

Answer:

c

Step-by-step explanation:

Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term.  I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9).  If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.

The expasion is as follows (up to the 7th term):

1(3c)^{9} +9(3c)^{8}(2d)^{1} +36(3c)^{7}(2d)^{2} +84(3c)^6(2d)^3+126(3c)^5(2d)^4+126(3c)^4(2d)^5+84(3c)^3(2d)^6

That last term is the 7th term.  You find out its value by multiplying all the numbers together and adding on the c^3d^6.  Again those come from Pascal's triangle, and it's one of the coolest math things ever.  I encourage you to take the time to explore how it works.

5 0
3 years ago
How many numbers are divisible by 100 between 1 and 6296?
Musya8 [376]
62 numbers are divisible by 100 into a whole number
5 0
3 years ago
emilio had $150 on a gift card he used the gift card to purchase 8 dvds. adam had $175 on a gift card and used the gift card to
Artyom0805 [142]
150 - 8d = 175 - 10d
-8d + 10d = 175 - 150
2d = 25
d = 25/2
d = 12.5...so each dvd costs 12.50

150 - 8(12.5) = 150 - 100 = 50
175 - 10(12.5) = 175 - 125 = 50

so they will each have 50 bucks left on their card
7 0
4 years ago
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