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4 years ago

which set of numbers could represent the lengths of the sides od a right triangle 16 32 36 3 4 5 8 12 16 9 10 11

Mathematics

1 answer:

pantera1 [17]4 years ago

3 0

Answer:

3 , 4 , 5 can formed right triangle

Step-by-step explanation:

In any triangle if the sum of the squares of the smallest two sides equals the square of the third side, then the triangle is right triangle

∵ 16² + 32² = 1280

∵ 36² = 1296 ≠ 1280 ⇒ Not right Δ

∵ 3² + 4² = 25

∵ 5² = 25 ⇒ right Δ

∵ 8² + 12² = 208

∵ 16² = 256 ≠ 208 ⇒ Not right Δ

∵ 9² + 10² = 181

∵ 11² = 121 ≠ 181 ⇒ Not right Δ

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A rectangular prism has a length of 20 centimeters, a height of 10 centimeters, and a width of 20 centimeters. What is its volum

Aliun [14]

Answer: 4000 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length*width*height.

We can plug in the values given:

Volume = 20 cm * 20 cm * 10 cm

Volume = 4000 cm^3

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3 years ago

Cos(2theta)=11 sin(theta)-5

lubasha [3.4K]

$\cos2\theta=11\sin\theta-5$
$1-2\sin^2\theta=11\sin\theta-5$
$2\sin^2\theta+11\sin\theta-6=0$
$(2\sin\theta-1)(\sin\theta+6)=0$
$\implies\begin{cases}2\sin\theta-1=0\\\sin\theta+6=0\end{cases}$

The second equation gives $\sin\theta=-6$ , but $-1\le\sin\varphi\le1$ for any real $\varphi$ , so we can ignore this equation.

This leaves us with

$2\sin\theta-1=0\implies \sin\theta=\dfrac12\implies\theta=\dfrac\pi6+2\pi k,\theta=\dfrac{5\pi}6+2\pi k$

where $k$ is any integer.

3 0

3 years ago

A certain railway company claims that its trains run late 5 minutes on the average. The actual times (minutes) that 10 randomly

iragen [17]

Answer:

Option C) We would reject the claim that the trains run late an average of 5 minutes and conclude that they run late an average of more than 5 minutes since the 99% confidence interval exceeds 5.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 5 minutes

Sample mean, $\bar{x}$ = 9.130 minutes

Sample size, n = 10

Alpha, α = 0.01

Sample standard deviation, s = 1.4 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}$

We have to construct 99% confidence interval.

99% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.01} = \pm 3.249$

$9.130 \pm 3.249(\dfrac{1.4}{\sqrt{10}} ) = 9.130 \pm 1.4383 = (7.6917,10.5683)$

99% Confidence interval: (7.6917,10.5683)

Since the population mean does not lie in he calculated confidence interval, thus, we fail to accept the null hypothesis and accept the alternate hypothesis.

Option C) We would reject the claim that the trains run late an average of 5 minutes and conclude that they run late an average of more than 5 minutes since the 99% confidence interval exceeds 5.

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3 years ago

I really need help with math we are learning about lines,rays,and line segments and in confused.

rusak2 [61]

Answer:

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Step-by-step explanation:

I took math and it will help you too

8 0

3 years ago

What is the product of 4 2/7 and 11 1/4 ?

kolbaska11 [484]

Answer:

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Step-by-step explanation:

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2 years ago