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4 years ago

9

Classify the following triangle based on its angle measures.

1 answer:

3241004551 [841]4 years ago

4 0

Answer:

A) Obtuse

Step-by-step explanation:

It is Obtuse due to the angle 115° being in the Triangle. This rules out Acute since the middle angle is not less than 90°. It is not Equiangular since all three angles are not equal. Furthermore it is not a right triangle either since there is no 90° angles. Making it Obtuse.

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Suppose the population of a town is 2,700 and is growing 4% each year. A. Write an equation to model the population growth. B. P

miss Akunina [59]

Answer:

Third option i.e. A. $2700(1.04)^x$ and B. About 4,323 people

Step-by-step explanation:

We are given that,

Initial population of the town = 2,700

The rate of growth = 4% = 0.04

Part A: Since, the equation for the growth is given by,

Population growth = $P(1+r)^x$ , where P is the initial population, r is the rate of growth and x is the time period of growth.

We have, according to the question,

Population growth = $2700(1+0.04)^x$

i.e. Population growth = $2700(1.04)^x$

Thus, the equation for the population growth is $2700(1.04)^x$ .

Part B: Now, it is required to find the population after 12 years i.e. x= 12.

So, we have,

Population = $2700(1.04)^x$

i.e. Population = $2700(1.04)^{12}$

i.e. Population = $2700\times 1.601032$

i.e. Population = 4,323

Hence, the population after 12 years is 4,323 people.

Thus, the third option is correct.

5 0

3 years ago

Read 2 more answers

How many hundredths are in 2 tenths? I don't get it does it mean decimal or no decimal<br>

AlladinOne [14]

Answer:

IT is talking about decimals

Step-by-step explanation:

For example 1.25 the 2 is in the tenths place and the 5 is in the hundreths place.

8 0

3 years ago

Read 2 more answers

Please tell me the answer to this

Bad White [126]

Answer:

Wow you got s lot of questions wrong

Step-by-step explanation:

6 0

3 years ago

Given m||n, find the value of x. (4x-7) degrees (3x+9) degrees It's transversal problems with equations Can anyone help please

Ratling [72]

Answer:

See explanation

Step-by-step explanation:

Given

$\angle 1 = 4x - 7$

$\angle 2 = 3x + 9$

Required

Find x

The question is incomplete, as the relationship between both angles is not given

(1) If they are supplementary, then

$\angle 1 + \angle 2 = 180$

$3x + 9 + 4x - 7 = 180$

Collect like terms

$3x + 4x = 180+7-9$

$7x = 178$

Divide both sides by 7

$x = 25.43$

(2) If they are complementary, then

$\angle 1 + \angle 2 = 90$

$3x + 9 + 4x - 7 = 90$

Collect like terms

$3x + 4x = 90+7-9$

$7x =88$

Divide both sides by 7

$x = 12.57$

(3) If they are vertically opposite angles, then

$\angle 1 = \angle 2$

So, we have:

$4x - 7 = 3x + 9$

Collect like terms

$4x - 3x = 9 +7$

$x = 16$

5 0

3 years ago

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth.

Tcecarenko [31]

Use the distance formula: $d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$

8 0

3 years ago