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3 years ago

If

Mathematics

1 answer:

andrew-mc [135]3 years ago

8 0

Tan t= 8/15
cot t= 15/8
csc t=-17/8
use sohcahtoa and the reciprocals

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Please help with my algebra homework and explain if you can

balandron [24]

$A= \frac{1}{2} h (x+y)$

we have to solve for x , solving for x means , we have to isolate x one one side , by shifting all other variables to other side

$A= \frac{1}{2} h (x+y)$

Multiply both sides by 2

2A = h(x+y)

Divide both sides by h

2A/h = x+y

Subtract y from both sides

$\frac{2A}{h} -y =x$

$x=\frac{2A}{h} -y$

5 0

3 years ago

What is the value of (-7 + 3i) - (2-6i)?

Doss [256]

Answer:

9 (i - 1)

Step-by-step explanation:

Simplify the following:

-7 + 3 i - (-6 i + 2)

-(2 - 6 i) = -2 + 6 i:

6 i - 2 - 7 + 3 i

-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:

9 i - 9

Factor 9 out of 9 i - 9 giving 9 (i - 1):

Answer: 9 (i - 1)

8 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

How far above sea level is the ranger station?

Schach [20]

Since he descended 12 meters, we subtract this from the overall height of Mount Ka'ala, so then we are only calculating how high ABOVE the sea level it is.

1232 - 12 = 1220

The height of Mount Ka'ala is therefore 1,220 meters.
To calculate how much a fifth of Mount Ka'ala is (since the ranger station is 2/5's up), we would divide this number by 5

1220 ÷ 5 = 244

Since ONE fifth of the height is 244 meters, TWO fifths would be double that amount.

244 x 2 = 488

488 meters.
The ranger station is 488m above sea level.

3 0

3 years ago

Which of the following are closest to 5?

Klio2033 [76]

Answer:

maybe c?

Step-by-step explanation:

you could try

6 0

3 years ago