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2 years ago

Do the following lengths form a right triangle?

Mathematics

1 answer:

Solnce55 [7]2 years ago

6 0

Answer:

Yes, they do

Step-by-step explanation:

Because

6+8=14>9

6+9=15>8

8+9=17>6

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What is the sum of the prime factors of 2014

goblinko [34]

The sum of prime factors of 2014 is 74

<h3>Solution:</h3>

Given that to find sum of prime factors of 2014

Let us first find the prime factors of 2014

A prime number is a whole number greater than 1 whose only factors are 1 and itself

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

Prime factors of 2014:

The Prime Factorization is:

$2014 = 2 \times 19 \times 53$

Thus the prime factors of 2014 are 2, 19, 53

Let us now find the sum of prime factors of 2014

sum of prime factors of 2014 = 2 + 19 + 53 = 74

Thus the sum of prime factors of 2014 is 74

7 0

2 years ago

Height-9ft Width-25ft Volume-7650 Length-?

Licemer1 [7]

Step-by-step explanation:

V = h × w × l

7650 = 9 × 25 × l

So,

l = 7650 ÷ 9 ÷ 25

l = 850 ÷ 25

l = 34

For the final, the length is 34.

4 0

2 years ago

Integrate the following

enot [183]

I suppose you mean to have the entire numerator under the square root?

$\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx$

We can use a trigonometric substitution to start:

$x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt$

Then for $x=2$ , $t=\sec^{-1}1=0$ ; for $x=4$ , $t=\sec^{-1}2=\frac\pi3$ . So the integral is equivalent to

$\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt$

We can write

$\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t$

so the integral becomes

$\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}$

7 0

3 years ago

.Joline collects hockey cards.

shusha [124]

Answer:

25 Cards

Step-by-step explanation:

If 5 cards is 20% and you only need 5 more then that means you have the other 80%. So you 20 80/20 which is 4. Then do 4x5=20 then add the 5 you still need.

3 0

3 years ago

R, S, and T are coplanar. True False

Pavel [41]

False, because when you connect them the don't even look like a line.

Hope this helps! ;)

8 0

3 years ago

Do the following lengths form a right triangle? ​

Do the following lengths form a right triangle?