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Natalka [10]
3 years ago
6

4. Decide if the segment lengths form a triangle. If they do, Indicate whether the triangle is acute, right, or obtuse.

Mathematics
1 answer:
beks73 [17]3 years ago
7 0
To see if line segments may form a triangle basically one must check if the sum of two sides are greater than the third. 
 a + b > c
a + c > b
b + c > a

a. can form a triangle
b. can form a triangle
c. can form a triangle
d. cannot form a triangle as 14 + 21 = 35 which is not greater than 36

a = right triangle with the right angle between 16 and 30
b = acute triangle
c = obtuse triangle with teh obtuse angle between 7 and 24
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Read 2 more answers
Factor the following expression <br> 10x^5+5x^3-14x^2-7-
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Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7  (By the commutative property)

=2x^2(5x^3-7)+5x^3-7     (Taking 2x^3 common from first two terms )

=(5x^3-7)(2x^2+1)      (Taking 5x^3-7 common from both terms)

\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)

Hence, Option C is correct

5 0
3 years ago
X
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Step-by-step explanation:

x and y are roughly in a linear relationship.

when x increases by 2 units, then also y increases by more or less 2 units.

when x increases by 3 units, then also y increases by more or less 3 units.

it is not precise, but a good approximation model.

3 0
2 years ago
The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being​ two-tail
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Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

H_0 : p = 0.611\\\\H_a : p \neq 0.611

Testing the statistics:

\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\

therefore, it fails to reject the null hypothesis.

8 0
3 years ago
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