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3 years ago

Can a triangle have the following side lengths? Explain. 5 feet, 2 feet, 10 feet

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.

Step-by-step explanation:

You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.

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>> The Peak Il snowboard costs $100 more than the rider snowboard. How much does the

Natasha2012 [34]

Answer:

The answer is x + 160 = 459

Step-by-step explanation:

You can find this answer by understanding what the variable is. Once you find that the rest is easy. You know that the cost of the peak II is $459. You also know that the peak II is $160 more than rider/variable so, 459 - 160 = 299

4 0

3 years ago

What is the rate of change in y with respect to x in the function x + 5y = 10?

rosijanka [135]

Answer:

-1/5

Step-by-step explanation:

let's put the function in slope intercept form (y = mx + b).

x + 5y = 10

y = - (1/5)x + 2

when the function is in slope intercept form, (m) is the rate of change or the slope.

therefore, the rate of change -1/5

7 0

2 years ago

National data indicates that 35% of households own a desktop computer. In a random sample of 570 households, 40% owned a deskt

Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a desktop.

Step-by-step explanation:

We are given that National data indicates that 35% of households own a desktop computer.

In a random sample of 570 households, 40% owned a desktop computer.

Let p = population proportion of households who own a desktop computer

SO, Null Hypothesis, $H_0$ : p = 25% {means that 35% of households own a desktop computer}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 570 households who owned a desktop computer = 40%

n = sample of households = 570

So, test statistics = $\frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }$

= 2.437

Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0

3 years ago

If the width of the rectangle is three times the length and the perimeter of the rectangle is 72 ft, what are the length and wid

goblinko [34]

W=3L
W+W+L+L=72
Replace W with 3L: 3L+3L+L+L=72
8L=72
L=9
W=27

8 0

3 years ago

According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by %87 to

ch4aika [34]

X*1.87= 572
X=572/1.87
X=$306

6 0

3 years ago