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3 years ago

ILL BRAINLIEST YOU IF YOU GET IT RIGHT PLEASE HELP

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

7 0

The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.

In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.

Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.

1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23

2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17

3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15

Hope it help!

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Determine the intercepts of the line. y=−2x−21

yuradex [85]

Hi there!

Let's first determine the x-intercept. When dealing with an x-intercept we must realise the y-coordinates equal 0.

$y = - 2x - 21 \\ y = 0 \\ \\ - 2x - 21 = 0$
Add 21 to both sides.

$- 2x = 21$
Divide both sides by -2.

$x = \frac{21}{2} = 10 \frac{1}{2}$
Therefore, the x-intercept is the point (10 1/2; 0).

--------------------------------------
Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.

$y = - 2x - 21 \\ x = 0 \\ \\ y = - 2 \times 0 - 21 = - 21$
Therefore, the y-intercept is the point (0; -21).

4 0

3 years ago

Read 2 more answers

The diameter of a quarter is 24.26 mm and the diameter of a nickel is 21.21 mm. How much bigger is the distance around a quarter

olga55 [171]

Answer:

9.577 mm.

Step-by-step explanation:

We have been given that the diameter of a quarter is 24.26 mm and the diameter of a nickel is 21.21 mm.

Let us find the circumference of quarter and nickel using circumference of circle formula.

$\text{Circumference of circle}=2\pi r$ , where r represents radius of the circle.

Since we know that diameter of circle is 2 times its radius, so let us find radius of quarter and nickel by dividing their diameter by 2.

$\text{Radius of quarter}=\frac{24.26}{2}$

$\text{Radius of quarter}=12.13$

$\text{Radius of nickel}=\frac{21.21}{2}$

$\text{Radius of nickel}=10.605$

$\text{Circumference of quarter}=2\times 3.14\times 12.13$

$\text{Circumference of quarter}=76.1764$

Therefore, circumference of quarter is 76.1764 mm.

Let us find circumference of nickel.

$\text{Circumference of nickel}=2\times 3.14\times 10.605$

$\text{Circumference of nickel}=66.5994$

Let us subtract circumference of nickel from circumference of quarter.

$\text{The difference between distance around quarter and nickel}=76.1764-66.5994$

$\text{The difference between distance around quarter and nickel}=9.577$

Therefore, the distance around a quarter is 9.577 millimeters bigger than a nickel.

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4 years ago

On a piece of paper, graph f(x) = 2x. Then determine which answer choice matches the graph you drew

Vilka [71]

Answer:

Step-by-step explanation:

I assume you mean $2^{x}$ . Simply plugging in numbers will give you points that match up with the graph. $2^{1} =2$ and $2^{2} = 4$ when x = 1 and x = 2 respectively.

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3 years ago

Select the statement that best justifies the conclusion based on the given information. l is in plane M, x is on line l Conclusi

egoroff_w [7]

Answer:

If a plane contains a line, it contains the points on the line

Step-by-step explanation:

I got it right on a quiz

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3 years ago

A convenience store sells 1/3 pound of one brand of trail mix for $1.50 and 1/2 pound of another brand of trail mix for $2.15. W

Kamila [148]

The cheaper trail mix would be the half pound bag. So take the price of the 1/3 bag and times it by 3 that equals $4.50 then check out the 1/2 lb bag and times it by 2 and it would equal $2.30. So you know the half pound bag is cheaper

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4 years ago