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nordsb [41]
3 years ago
5

Which of the following sets of numbers could represent the three sides of a triangle?

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only C can represent a triangle.

⚪ The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees

<em><u>The answer is none</u></em>

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A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1, there is $52,000 remaining t
Rom4ik [11]

Answer:

The equation is: f(x) = 52000 - 8000x

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

Amount = Initial - Rate* Years

We used minus (-) because, the amount reduces as the student pays.

Let

y = Amount

x = Years

So, we have:

y = Initial - Rate * x

Substitute values for Initial and Rate

y = 52000 - 8000 * x

y = 52000 - 8000x

Express as a function:

f(x) = 52000 - 8000x

5 0
3 years ago
Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer sa
bija089 [108]

Answer:

The null hypothesis μ=4.0 could not be rejected.

Step-by-step explanation:

In this problem we have to perform a hypothesis test of the mean, with s.d. of the population unknown.

The sample is: [3.999, 4.037, 4.116, 4.063, 3.969, 3.955, 4.091]

This sample has a mean of 4.033 and a standard deviation of 0.061.

The null and alternative hypothesis are:

H_0: \mu = 4.0\\\\H_1: \mu \neq 4.0

We assume a significance level of 0.05.

The test statistic for this test is:

t=\frac{M-\mu}{\sigma}=\frac{4.033-4.0}{0.061}=0.536

We have a sample size n=7, so the degrees of freedom are 7-1=6.

For a two-tailed test, t=0.536 and df=6, the P-value can be look up in a t-table.

The P-value is 0.61. Is greater than the significance level, so the effect is not significant and the null hypothesis can't be rejected.

8 0
4 years ago
What is the measure of this angle?<br> 90 degrees<br> 115 degrees<br> 180 degrees<br> 40 degrees
erma4kov [3.2K]

Answer:

90

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
1.5x - 1.9y = - 29 , x - 0.9 = 4.5
Katyanochek1 [597]
X-0.9 = 4.5
+0.9 +0.9
x = 5.4
( to get rid of the -0.9 beside the x, u have to do the opposite operation on both sides. if its -0.9, u have to add 0.9 on both sides)

not sure about the first one.
3 0
3 years ago
Help I really need the answers to these by tomorrow morning.
Damm [24]

Answer(s):

31:

4.5 = 4 + 1/2 (0.5)

32:

23.7 = 20 + 3 + 7/10 (0.7)

33:

6.9 = 6 + 0.9

34:

35.4 = 30 + 5 + 0.4

it's kinda implied :)

Good Luck Dude.

7 0
4 years ago
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