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2 years ago

A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?

Mathematics

1 answer:

Yuki888 [10]2 years ago

4 0

Answer:

i'd say so

Step-by-step explanation: none of the sides are the same length as another

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What is a simpler form of the radical expression?<br><br> SOMEONE PLEASE HELP!!

Brilliant_brown [7]

Answer:

Choice B

Step-by-step explanation:

Given radical expression:

$\sqrt[4]{1296 {x}^{16} {y}^{12} }$

To Find:

The Simpler form of this expression

Soln:

$= \sqrt[4]{1296 {x}^{16} {y}^{12} }$

We could re-write the given expression, according to the law of exponents:

$= \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} }$

Now we need to bring terms out of the radical as:

$\tt = | 6x { }^{4} y {}^{3} |$

Bring out 6x^4 from the absolute & put y^3 only in it:

$\tt = 6x {}^{4} |y {}^{3} |$

Choice B is accurate.

7 0

1 year ago

A car starts a journey with a full tank of gas. The equation y=16 - 0.05x relates the number of gallons of gas, y, left in the t

mr_godi [17]

A. The y-intercept is y = −0.05 x + 16 and the x-intercept is x = −20y + 320

B. The x-intercept represents the number of miles the car has traveled.

C. The y-intercept represents the number of gas in gallons.

4 0

3 years ago

I need help answering 6x+8=26

melomori [17]

First you subtract 8 from 26, which is 18. Then you divide 18 by 6, which is 3. x equals 3.

5 0

3 years ago

Read 2 more answers

Simplify -9(1-10n) - 2(3n+9)

agasfer [191]

Answer:

3 (28 n - 9)

Step-by-step explanation:

Simplify the following:

-9 (1 - 10 n) - 2 (3 n + 9)

-9 (1 - 10 n) = 90 n - 9:

90 n - 9 - 2 (3 n + 9)

-2 (3 n + 9) = -6 n - 18:

90 n + -6 n - 18 - 9

Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):

(90 n - 6 n) + (-9 - 18)

90 n - 6 n = 84 n:

84 n + (-9 - 18)

-9 - 18 = -27:

84 n + -27

Factor 3 out of 84 n - 27:

Answer: 3 (28 n - 9)

4 0

2 years ago

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

2 years ago