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2 years ago

If a triangle has a side that is 5 and a side that is 12, what is the third side

Mathematics

1 answer:

8090 [49]2 years ago

7 0

Is this multiple chose? if so I would like to see the answers. But just using my brain, I would say, 5, or 7.

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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

2 years ago

Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin.

Galina-37 [17]

90 degrees means 90 degrees counterclockwise. So from the fourth quadrant we'll end up in the first quadrant. X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

Answer: A

8 0

2 years ago

A taxpayer itemized and deducted an amount in a previous year and

saveliy_v [14]

This is not a form of income it is known as federal tax refund.

What is federal tax refund ?

Tax refunds are issued to taxpayers who have overpaid their taxes, or whose employers have withheld too much from their paychecks.

Therefore, A federal tax refund is not entered on a federal tax return so it is not income. Tax refunds from state governments can be itemized deductions on your federal tax return in the year they are issued.

It must be noted that If you electronically file your tax return or if you file a paper return, your refund is generally issued within 21 days.

check and know more about taxes here :

brainly.com/question/16423331

#SPJ1

5 0

7 months ago

I need help with 4ourth grade math lesson 8 homework helper asap math

Dmitriy789 [7]

Answer:

sure

Step-by-step explanation:

3 0

3 years ago

If Jill is selling lemonade for $1.50 per cup on Tuesday. On Wednesday she is selling the lemonade for the same price and sells

Molodets [167]

Answer:

Jill make $18 on Wednesday

Step-by-step explanation:

Given :Jill is selling lemonade for $1.50 per cup on Tuesday.

To Find :On Wednesday she is selling the lemonade for the same price and sells 12 cups. How much money did she make on Wednesday?

Solution:

Jill is selling lemonade for $1.50 per cup on Tuesday.

Cost of 1 cup of lemonade = $1.5

Cost of 12 cups of lemonade = $1.5 \times 12 =$18$

Hence She make $18 on Wednesday

4 0

3 years ago