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3 years ago

Is it possible to construct a triangle with side lengths of 11 cm, 15 cm, and 21 cm? Why or why not?

2 answers:

8 0

There is only one requirement for three sides in order to be considered possible in constructing a triangle. That requirement is
The sum of any of the two sides must be greater than the third side

11 + 15 = 26 > 21
11+ 21 = 33 > 15
15 + 21 = 16 > 11

Since all of the combination fulfill the requirement, yes we could create the triangle with those sides.

inna [77]3 years ago

6 0

Since all of the sums are greater than the third side, it is possible to make a triangle with these three sides.

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Use the side-splitter theorem to solve for x in the triangle below.

Vaselesa [24]

Answer:

Step-by-step explanation:

Since line 1 // line 2,

11/22=5/x [Theorem]

1/2=5/x

x=10

4 0

3 years ago

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig

Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let $\mu$ denotes the average hours of sleep per night.

As per given , we have

$H_0:\mu=7\\H_a:\mu$

, since $H_a$ is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : $\overline{x}=7.24$

Sample standard deviation : s= 1.93

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

i.e. $t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58$

For significance level $\alpha=0.05$ and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= $t_{\alpha, df}=t_{0.05,21}=- 1.7207$

Decision : Since the test statistic value (0.58) > critical value 1.7207, it means we are failed to reject the null hypothesis .

[Note : When $|t_{cal}|>|t_{cri}|$ , then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0

2 years ago

Write 12x – 3y= –24 in slope-intercept form.

a_sh-v [17]

Answer: y=4x+8

Step-by-step explanation:

5 0

3 years ago

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered wi

Mrrafil [7]

Answer:

Step-by-step explanation:

Remarks

The given angle is an exterior angle.
It's value is 46 degrees.
An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary to the given exterior angle.

Solution

46 = <u + <t
<t = 29
46 = <u + 29 Subtract 29 from both sides.
46 - 29 = <u
<u = 17 degrees

4 0

3 years ago

Which one is it A B C D

vovangra [49]

Answer:B

Step-by-step explanation: Alternate exterior angles theorem

3 0

2 years ago