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3 years ago

PLZZZZ HELP Alg 2 math

Mathematics

1 answer:

Ivanshal [37]3 years ago

4 0

please answer if you know this!

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At present a man is 5 times as old as his son, in 13 years time he will be three times as old as his son. Find the man's present

Yuliya22 [10]

Answer:

Step-by-step explanation:

let the son's age be x then the man's age is 5x

In 13 years

son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son

5x + 13 = 3(x + 13)

5x + 13 = 3x + 39 ( subtract 3x from both sides )

2x + 13 = 39 ( subtract 13 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13 ← son's present age

5x = 5 × 13 = 65 ← man's present age

6 0

3 years ago

Read 2 more answers

Angle θ lies in the second quadrant, and sin θ = 3/5.<br> cos θ = <br><br> tan θ =

storchak [24]

Answer:

$cos\Theta =\frac{4}{5}$

$tan\Theta =\frac{3}{4}$

Step-by-step explanation:

Given : sin θ = 3/5

To Find : value of cos θ and tan θ

Solution :

use the identity:

$sin^{2}\Theta +cos^{2}\Theta =1$

putting value of sin θ

⇒ $(\frac{3}{5})^{2} + cos^{2}\Theta =1$

⇒ $\frac{9}{25} +cos^{2}\Theta =1$

⇒ $cos^{2}\Theta = 1-\frac{9}{25}$

⇒ $cos^{2}\Theta = \frac{16}{25}$

⇒ $cos\Theta = \sqrt{\frac{16}{25}}$

⇒ $cos\Theta =\frac{4}{5}$

Thus , $cos\Theta =\frac{4}{5}$

Now to find value of tan θ

Since we know that

⇒ $tan\Theta =\frac{sin\Theta }{cos\Theta }$ (identity)

⇒ $tan\Theta =\frac{\frac{3}{5} }{\frac{4}{5} }$

⇒ $tan\Theta =\frac{3}{5}\div \frac{4}{5}$

⇒ $tan\Theta =\frac{3}{5}\times \frac{5}{4}$

⇒ $tan\Theta =\frac{3}{4}$

Thus , the value of

$tan\Theta =\frac{3}{4}$

$cos\Theta =\frac{4}{5}$

3 0

3 years ago

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How to find the unit rate of 346 mi on 22 gal

nydimaria [60]

Divide 346 mi by 22 gal.
The quotient will be "miles per gallon", which is exactly what you want.

3 0

4 years ago

Read 2 more answers

Reduce to the lowest terms by canceling -14/9 times -3/7

maksim [4K]

Answer:

2/3

Explanation:

Given the below;

$\frac{-14}{9}\times\frac{(-3)}{7}$

We can see from the above that 9 is divisible by 3 and that 14 is divisible by 7, let's go ahead and reduce to the lowest term as shown below;

$\frac{-14}{9}\times\frac{(-3)}{7}=\frac{-2}{3}\times\frac{(-1)}{1}=\frac{2}{3}$

5 0

1 year ago

a pie takes two-third of an hour to bake if a pie is put in at 7:30 what time do the pie need to be taken out

AlexFokin [52]

8:20

Step-by-step explanation:

8 0

3 years ago