A family spent $95 at the fair.

Vlad1618 [11]

Problem 1

Answer: Yes a triangle can be formed with side lengths 5,5,3

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Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

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Problem 2

Answer: Yes a triangle can be formed with side lengths 8,8,8

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Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

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Problem 3

Answer: No a triangle cannot be formed with sides 7,8,15

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Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

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Problem 4

Answer: Yes a triangle is possible with side lengths 5,6,10

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Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

5+6 = 11 is larger than 10
6+10 = 16 is larger than 5
5+10 = 15 is larger than 6

4 0

3 years ago

Do 3/7 and 7/3 represent the same length on a number line?

Anna [14]

No 3/7 do not represents the same length on the number line

5 0

4 years ago

Read 2 more answers

10 men and 5 women are meeting in a conference room. Four people are chosen at random from the 15 to form a committee. (a) What

nata0808 [166]

Answer:

Step-by-step explanation:

Given

There are 10 men and 5 women in a conference room

total People=15

(a)Probability that the committee consists of 2 men and 2 women

we have to select from 10 men and 5 women

$P=\frac{^5C_2\times ^{10}C_2}{^{15}C_4}$

(b)Bob and Jane end up on the same committee

as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person

$P=\frac{^{13}C_2}{^{15}C_4}$

(c)Bob is in the committee but Jane is not

9 men and 4 women left to choose other 3 person

$P=\frac{^{13}C_3}{^{15C_4}}$

7 0

3 years ago

What is the slope of the line that contains the points (-2, 1) and (0, -3)?

spayn [35]

Answer: -2

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

slope = -3 -1 / 0 + 2

slope = -4 / 2

simplify = -2

4 0

3 years ago

Read 2 more answers

Answer the following questions about slope and y-intercept.

torisob [31]

Answer:

1. The y-intercept

2. The slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10

Step-by-step explanation:

1. The value of the y coordinate at the point which the graph meets the y-axis is called to the y-intercept. It is the value at which the x-coordinate is equal to zero, that is, the coordinate of the point at the y-intercept = (y, 0)

2. Given that Clarissa eats 1 piece of chocolate every 10 seconds, we have the slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10.

7 0

3 years ago