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3 years ago

A triangle has sides of lengths 13, 21, and 24. is it a right triangle? explain

1 answer:

8 0

<span>No, it doesn't. To find out if it's a right angled triangle, we use Pythagorean triple. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the opposite and adjacent sides. Obviously, the longest side, which is our hypotenuse is 24. So we want to find out whether the square of our hypotenuse is equal to the sum of the squares of the other two sides i. e 13 and 21. 24^ 2 = 576 ; 13^2 = 169 ; 21^2 = 441; So is 576 = 169 + 441. An emphatic No: hence the triangle isn't right angled since it doesn't satisfy pythagorean triple.. A^2 is not equal to B^2 + C^2 where a is the hypotenuse and b and c the opposite and adjacent sides.</span>

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What is the value of X? (geometry, right triangles)

Dahasolnce [82]

Answer:

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{1}{2}$ ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5 → C

8 0

3 years ago

A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6

mylen [45]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n=106

Sample mean : $\overline{x}=98.3^{\circ}\ F$

Standard deviation : $\sigma= 0.69^{\circ}F$

Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Then , 99% confidence interval estimate of the mean body temperature of all healthy humans will be :-

$98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)$

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. $\mu=\overline{x}=98.3^{\circ}\ F$

7 0

3 years ago

You mow the lawn to earn your allowance. Each time you mow the lawn you earn $12 Write an equation for the number of dollars, d,

andrezito [222]

The equation is d=12m for amount you earn is 12 dollars per mow sesion.

12x10=120 after 10 times mowing you earned $120 (not bad)

8 0

3 years ago

Hiiiooo! Can someone please help ❤️

V125BC [204]

Answer:

B. √21

Step-by-step explanation:

x^2 = √5 x √5 + 4 x 4

x^2 = 5 + 16

x^2 = 21

x = √21

<em>Hope that helps! :)</em>

<em>-Aphrodite</em>

4 0

3 years ago

Read 2 more answers

What is a quartic polynomial function in standard form with zeros -2,4,4,and 3

Travka [436]

We can simply multiply the roots together to find the original function.

(x + 2)(x - 4)(x - 4)(x - 3)

FOIL.

x^2 - 4x + 2x - 8(x - 4)(x - 3)

Combine like terms.

x^2 - 2x - 8(x - 4)(x - 3)

FOIL.

x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)

Combine like terms.

x^3 - 6x^2 + 32(x - 3)

FOIL.

x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96

Combine like terms.

<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>

6 0

3 years ago