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3 years ago

In 20 years Mark will be three times as old as he was 10 years ago how old is he

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer:

Age of Mark is 25 years.

Step-by-step explanation:

Let the current age of Mark = x years

After 20 years, age of Mark=(x+20) years

10 years ago,age of Mark was (x-10) years.

In 20 years Mark will be three times as old as he was 10 years ago.

=> $(x+20) = 3*(x-10)$

=> $(x+20) = 3x-30$

=> $(3x-x) = 30+20$

=> $(2x) = 50$

=> $x = \frac{50}{2}$

=> $x = 25$

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Look at the Hexagon below

Mama L [17]

Answer:

Angle 9: 60°

Angle 10: 30°

Side = radius = 40sqrt(x/3)

Area = [800sqrt(3)]x

Step-by-step explanation:

Total angle in a hexagon:

(6 - 2) × 180

720

Each interior angle:

720/6 = 120

angle 9 = 120/2 = 60

Angle 10 = 60/2 = 30

sin(60) = 20sqrt(x)/r

r = 20sqrt(x) ÷ sqrt(3)/2

r = 40sqrt(x/3)

Side:

sin(30) = ½s/(40sqrt(x/3))

½s = 20sqrt(x/3)

s = 40sqrt(x/3)

Area = (3sqrt(3))/2 × s²

Area = 3sqrt(3)/2 × 1600x/3

Area = [800sqrt(3)]x

4 0

3 years ago

Will give brainliest

kow [346]

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

5 0

3 years ago

Read 2 more answers

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the

MrRa [10]

your question is incomplete, here you can find the complete question below:

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.

a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?

b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?

c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?

Answer:

a. 1.45

b. 2.56

c. 3.59

Step-by-step explanation:

As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.

$slope=\frac{chnage\ in\ y}{chnage\ in\ x}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

It is given that initial point is (x1,y1)=(0,0)

Part(a)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(3.38,2.32)

so the slope of the terminal ray is

$slope=\frac{3.38-0}{2.32-0}=\frac{3.38}{2.32}= 1.45$

Part(b)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.49,3.82)

so the slope of the terminal ray is

$slope=\frac{3.82-0}{1.49-0}=\frac{3.82}{1.49}=2.56$

Part(c)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.1,3.95)

so the slope of the terminal ray is

$slpoe=\frac{3.95-0}{1.1-0}=\frac{3.95}{1.1}= 3.59$

6 0

3 years ago

Help ................

Natasha2012 [34]

Hmmm it's linear since it's multipling by 3 each time

4 0

2 years ago

Do question 40 please i need help show your work please i need help so bad

zimovet [89]

So 15% is out of 100%, and the cab company has sent 30 cabs out of x?(x is the total number of cabs). $\frac{15}{100} = \frac{30}{x}$

So, by setting up that data we already know, we can make this equation to figure out how many cabs total the company actually has:

<span>15x = 100 * 30
</span>
We do the multiplication on the right side

15x = 3000

And divide to isolate the "X" variable

x = 200

So, the cab company has 200 cabs total, and they sent out 30 of them.

3 0

3 years ago

Read 2 more answers