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3 years ago

Each leg of a 45°-45°-90° triangle measures

Mathematics

2 answers:

tatiyna3 years ago

7 0

Answer:

Length of the hypotenuse = $14\sqrt{2}$ cm

Step-by-step explanation:

Each leg of a 45°-45°-90° triangle measures 14 cm

The ratio of given special right triangle is $x:x:\sqrt{2}x$

The variable x represents the sides of the triangle

$\sqrt{2}x$ represents the hypotenuse of the triangle

Given $x=14$

WE know the hypotenuse is $\sqrt{2}x$

Replace x with 14

$\sqrt{2}(14)$

$14\sqrt{2}$

Length of the hypotenuse = $14\sqrt{2}$ cm

Vilka [71]3 years ago

3 0

The hypotenuse of a 45-45-90 triangle is the length of the side times the square root of 2.

The side length is 14 cm, the hypotenuse will be 14√2 cm

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How do i simplify 2a² + 4b + 25a + 15b 8ts for tomorrow pls hurry

Trava [24]

Answer:

To simplify this you simply need to combine like terms:

2a^2 +4b +25a +15b

4b and 15b are your only like terms, so you would add them together 4b+15b=19b

2a^2+19b+25a is your final answer

Hope this helps ;)

Step-by-step explanation:

5 0

3 years ago

Xby the power of 5 times y to the power of 6 over 2 by the power of -2 times xby the power of 0times x by the power of 9

mars1129 [50]

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"... 2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

$\frac{x^5*y^6}{2^{-2}*x^0*x^9}$

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

$\frac{x^5*y^6}{2^{-2}*x^9}$

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

$\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4$

And we also know that:

a^n/a^m = a^(n - m)

Then:

$\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}$

And we can't simplify this anymore.

8 0

3 years ago

20. The H.M. between 2 and 8 is<br>(1 marks )

e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

6 0

3 years ago

Is 143 and 63 relatively prime numberd

Igoryamba

Yes 143 and 63 are relatively prime because they have no prime factors in common

brainliest answer please?

4 0

3 years ago

PLEASE HELPP I WILL MARK YOU GOOD

djverab [1.8K]

Answer:

Volume: 41.643

Surface area: 119.04 (nearest tenth... I don't know...sorry)

Step-by-step explanation:

I didn't know if you need volume or surface area so you got both!

4 0

3 years ago