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3 years ago

Which set of line segments can be used to construct a triangle?

Mathematics

1 answer:

Darina [25.2K]3 years ago

4 0

Answer:

Option B

Step-by-step explanation:

Option A

In order to make a triangle: a + b > c and b + c > a and c + a > b

2 is a, 6 is b, and 1 is c

a + b > c

2 + 6 > 1

8 > 1 -> TRUE

b + c > a

6 + 1 > 2

7 > 2 -> TRUE

c + a > b

1 + 2 > 6

3 > 6 -> FALSE

Option B

In order to make a triangle: a + b > c and b + c > a and c + a > b

3 is a, 3 is b, 2 is c

a + b > c

3 + 3 > 2

6 > 2 -> TRUE

b + c > a

3 + 2 > 3

5 > 3 -> TRUE

c + a > b

2 + 3 > 3

5 > 3 -> TRUE

OPTION B IS A TRIANGLE

Option C and D are automatically incorrect because Option B is incorrect. But, the same process would go to the end.

Answer: Option B

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slava [35]

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

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We can read from the graph that, the function ranges between:

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This implies that:

$|A| = 4$

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

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3 years ago

Find the volume of the solid. Round to the nearest tenth if necessary.

Vikki [24]

$V= \frac{4}{3} \pi r^{3} or V=4.1888 r^{3}$

r=4 $r^{3}$ =64*4.1888=268.083

V = 268.083 $mm^{3}$ so go with A.

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3 years ago

Please help! Write an expression for 6 times more than twice a number decreased by

Shalnov [3]

Answer (6•2) - 7 ) \ 4

3 0

3 years ago

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Kay [80]

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Hope this helps. - M

5 0

3 years ago

A spieces of extremely rare, deep water fish are slowly becoming extinct. If there are a total of 821 of this type of fish and t

Step2247 [10]

Answer:

12 months in a year

6 is half a month so we're going off of 6 months.

So:

821*0.15= 123.15

821- 123.15= 697.85

697.85*0.15= 104.6775

697.85-104.6775= 593.1725

593.1725*0.15= 88.975875

593.1725-88.975875= 504.196625

504.196625 *0.15= 75.62949375

504.196625- 75.62949375= 428.56713125

428.56713125*0.15= 64.2850696875

428.56713125-64.2850696875 = 364.282061562

364.282061562*0.15= 54.6423092344

364.282061562-54.6423092344 = 309.639752328

So its 310 fish.

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3 years ago