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Keith_Richards [23]
3 years ago
9

Which set of numbers could represent the side lengths of a right triangle?

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:  D) 8, 15, 17

<u>Step-by-step explanation:</u>

In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c²    where c is the largest side.

A) 2² + 3² = 4²

   4  +  9   = 16      

       13      = 16      FALSE

B) 4² + 5² = 6²

  16  + 25 = 36

       41     = 36       FALSE

C) 6² + 9² = 12²

   36 + 81 = 144

       117    = 144       FALSE

D) 8² + 15² = 17²

  64 + 225 = 289

       289    = 289     TRUE!

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What percent of 1.60 is 6
JulsSmile [24]
N% x 1.60 = 6   (I turned it from English to math)
Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead.
Here is a sample to show you why it works.    .34 x 57 = 34 x .57

So
.016n = 6   (.016 is 1.60 decimal moved back two places)

Now divide both sides by .016
<u>.016</u>n   = <u>6
</u><u />.016     .016      n = 375%     

Why is the percent over 100% you might ask?

What % of 1.60 is 1.60  (Answer - all of it or 100%)
So What % of 1.60 is 6  - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.

What % of 1.60 is 1.60  - 100%
What %  of 1.60 is 3.20 - 200%   (notice that 3.20 is twice 1.60)
What % of 1.6 is 4.80   - 300%   (notice that 4.80 is three times 1.60)
What % of 1.6 is  6.40   - 400%  (notice that  6.40 is four times 1.60)
6 (the number in the problem) is just a bit less than 6.40  so 375% makes a lot a sense.
Hope you found this helpful. 

6 0
3 years ago
The formula for calculating the density of an object is D=-, where m is mass and v is volume.
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Answer:

M= D x V, V= M x D

Step-by-step explanation:

You just do the opposite of division since the original is:

Density= Mass/ Volume

8 0
3 years ago
Durante quanto tempo um capital de 5000 deve ser aplicado a juros compostos, taxa de 1,8% a.m para gerar um montante de 5767.
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3 years ago
An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t
ratelena [41]

Answer with Step-by-step explanation:

We are given that height of projectile after t seconds is given by

h(t)=96t-16t^2

a.h(t)=144 ft

144=96t-16t^2

16t^2-96t+144=0

t^2-6t+9=0

t^2-3t-3t+9=0

t(t-3)-3(t-3)=0

(t-3)(t-3)=0

t-3=0

t=3

After 3 s, the height of the project will be 144 feet in the air.

b.h(t)=0

96t-16t^2=0

16t(6-t)=0

16t=0\implies t=0

6-t=0\implies t=6

At t=0, the initial position of projectile

At t=6 s , the projectile will hit the ground.

6 0
3 years ago
3. What is always true when two whole
Greeley [361]

Answer:

C

Step-by-step explanation:

4 0
2 years ago
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