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Leya [2.2K]
3 years ago
5

Which best explains whether a triangle with side lengths 2in , 5in , 4in. is an acute triangle

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length 
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than 
2^2 +4^2 < 5^2 => an acute triangle 

hope helped 
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List the steps used to solve the equation below.
pychu [463]

Answer:

- 1

Step-by-step explanation:

2x + 3 = x - 4

2x - x = - 4 + 3

x = - 1

The solution to the above equation is - 1.

4 0
3 years ago
The travel time for a plane traveling at a rate of r kilometers per hour for 290 kilometers
Lapatulllka [165]
Time = distance / rate
time = 290 / rate

7 0
3 years ago
Use the distributive property to write the expression without parentheses 6(7a+6)
alexandr1967 [171]

Answer:

42a+36

Step-by-step explanation:

6(7a+6)

Distribute

6*7a + 6*6

42a+36

3 0
3 years ago
Read 2 more answers
Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea
asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

<u><em>Let </em></u>\mu<u><em> = average ounces of ice cream consumed by American per month</em></u>

So, Null Hypothesis, H_0 : \mu \leq 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, H_A : \mu > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                 T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, <u><em>test statistics</em></u>  =  \frac{19-17}{\frac{5}{\sqrt{25} } }  ~ t_2_4

                               =  2

The value of the test statistics is 2.

<em>Now at 0.025 significance level, the </em><u><em>t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test</em></u><em>. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to </em><u><em>which we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0
4 years ago
function expressed by formula y=-0.5x is there a value of x for which y=-150 if there is such value then solve it
vekshin1

Answer:

3000

Step-by-step explanation:

y=-.05x

y=-150

x*.05=150

150/.05=3000

7 0
3 years ago
Read 2 more answers
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