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2 years ago

The sides of a triangle measure 10 feet, 13 feet, and 17 feet.

2 answers:

3 0

A right triangles hypotenuse is the square root of both of the other side squared. The formula for this is a^2 + b^2= c^2, with c being the longest side. So 10 squared is 100, 13 squared is 169, but. 17 squared is 289. The sum of the other two sides are 269. So it doesn’t equal

leva [86]2 years ago

3 0

Step-by-step explanation:

if the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle

bbc

10 squared = 100

13 squared = 169

17 squared = 289

100 + 169 = 269 NOT 289 so

there is no right angle and so its not a right triangle

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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

As given that the width is $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

Now, substituting the value:-

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

Thus, length and width of canvas are 15 cm and 12 cm.

7 0

3 years ago

What is divide 6/13 by 6/12

Brut [27]

I believe it is 12/13

5 0

3 years ago

Jade's room is 24 feet by 12 feet. She makes a scale drawing of 8 inches by 4 inches. What scale did she use?

8_murik_8 [283]

Answer:

d- 1 inch=3 feet

Step-by-step explanation:

24 feet÷_=8 inches, so the blank is 3

and that fits for 12 feet too.

12 feet ÷_=4 inches, so the black is 3

So, D

Hope this helps!

And welcome to the brainly family

5 0

2 years ago

A. 0.12 B. 0.13 C. 0.14 D. 0.15 Explain why you chose the answer

blagie [28]

The answer is C. 0.14

8 0

3 years ago

The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr

IgorC [24]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

As per given , we have

$H_0:\mu \leq4\\\\ H_a: \mu >4$

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given $\sigma=1$ , so we perform one-tailed z-test.

Test statistic : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation

n= sample size

$\overline{x}$ = Sample mean

For n= 18 , $\overline{x}=4.50$ , $\sigma=1$ , $\mu =4$ , we have

$z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12$

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0

3 years ago