All categories

3 years ago

If a triangle has sides that are 21 and 6 what is the range for third side x?

Mathematics

1 answer:

VikaD [51]3 years ago

8 0

Answer:

15<x<27

Step-by-step explanation:

Rule for the sides of a triangle:

The sum of the two smallest sides of a triangle must be greater than the biggest side.

In this question:

Sides of 6, 21 and x. We have to find the range for x.

If 21 is the largest side:

Two smallest are 6 and x.

x + 6 > 21

x > 21 - 6

x > 15

If x is the largest side:

Two smallest and 6 and 21. So

21 + 6 > x

27 > x

x < 27

Then

x has to be greater than 15 and smaller than 27. So the answer is:

15<x<27

You might be interested in

Can someone help me? I’ll reward points + brainalist

Lera25 [3.4K]

Answer:

Step-by-step explanation:

The formula for the area of a trapezoid is: $\frac{1}{2}$ (height)(sum of parallel lines)

Thus, the formula in this question would be: $\frac{1}{2}$ (4)(4+8) which is option C

4 0

3 years ago

In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

$f(x) = 6.3*(1.0032)^{x}$

$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

$(1.0032)^{x} = 1.11$

We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

$x = 32.66$

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0

3 years ago

What is the equation of the graphed line?

Mashutka [201]

<u /> $
Look\ at\ the\ picture.\\\\m=\frac{-5}{+1}=-5\\\\\boxed{y=-5x}$

7 0

3 years ago

What is a event made up of two or more simple events

kondaur [170]

Answer: A compound event is the combination of two or more simple events (with two or more outcomes).

Step-by-step explanation:

4 0

3 years ago

What is the measure of angle ABC

xeze [42]

Answer:

sorry wala pa ang math ko jan

7 0

2 years ago

Read 2 more answers