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3 years ago

Which three lengths could be the lengths of the sides of a triangle?

Mathematics

2 answers:

Talja [164]3 years ago

8 0

I am assuming the answer could be C

timofeeve [1]3 years ago

4 0

Answer: c. 8 cm, 15 cm, 22 cm

Step-by-step explanation:

The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.

a. 22 cm, 5 cm, 10 cm

Here $5+10$

Thus these can not be the lengths of the sides of a triangle.

b. 11 cm, 6 cm, 17 cm

Here $6+11=17$

Thus these can not be the lengths of the sides of a triangle.

c. 8 cm, 15 cm, 22 cm

Here, $8+15>22$

$22+15>8\\22+8>15$

Thus these three lengths can be the lengths of the sides of a triangle.

d. 6 cm, 22 cm, 10 cm

$6+10$

Thus these can not be the lengths of the sides of a triangle.

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the number of possible combinations of 14 objects taken 3 at a time?

maria [59]

Answer:

364.

Step-by-step explanation:

14C3 = 14! / 11! 3! which simplifies to:

14*13*12 /3*2*1

= 14*13* 2

= 364.

6 0

3 years ago

A deer population is estimated to be 4,350. The growth rate of the population is given by the equation y=4350(1.07) . What is th

HACTEHA [7]

Answer:

Step-by-step explanation:

Analyzing the growth rate of 1.07:

If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.

Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07

So the rate of growth is 7%

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3 years ago

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

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3 years ago