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3 years ago

Please help can give brainliest

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

The answer is 92.03°
First Look at what is given
The opposite of <J is given, as well as the adjacent side
Use Soh-Cah-Toa
Toa (tangent) should be used since opposite(o) and adjacent (a) is given

DIA [1.3K]3 years ago

4 0

Answer:

you have to add them together

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Check that x=2 and y=5 is a solution of both equations below:<br> X+2y=12<br> 3x+6y=36 *

melamori03 [73]

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 5 into the left side of the equations and if equal to the right side then they are a solution.

x + 2y = 2 + 2(5) = 2 + 10 = 12 ← True

3x + 6y = 3(2) + 6(5) = 6 + 30 = 36 ← True

Thus x = 2, y = 5 is a solution to both equations

7 0

3 years ago

Read 2 more answers

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

3 years ago

The sum of two numbers is 840. One of the numbers is 357. What is the other number?

Ksivusya [100]

We can create a formula first.

X will be the unknown number

840= 357+x
-357 -357

483 = x

Hope this helps

7 0

3 years ago

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3 1/2 divided 2 3/5 in its simplest form

xxMikexx [17]

Answer:

9.1 is answer or 91/10 or 9 1/10

4 0

3 years ago

Which is the simplified form of r^-7 + s^-12? arrows to the left of -7 and -12 represent exponents,

polet [3.4K]

$a^{-b}=\dfrac{1}{a^b}\\\\ r^{-7}+s^{-12}=\dfrac{1}{r^7}+\dfrac{1}{s^{12}}\implies \text{D}$

7 0

3 years ago

Read 2 more answers