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natulia [17]
4 years ago
7

How to set up this problem

Mathematics
1 answer:
HACTEHA [7]4 years ago
5 0

Answer:

The son is five years old

Step-by-step explanation:

Let the son's age be x

A man is five as old as his son, 5x

In five years, he would be three times as old as his son

In five years: son would be x+5

Father 5x+5

3(x+5)=5x+5

3x+15=5x+5

Collect like terms

15-5=5x-3x

10=2x

Divide by 2

10/2=2x/2

x=5

The son is five years old

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The volume of the triangular prism is 54 cubic units.What is the value of x?
nadezda [96]

Answer:

x=3

Step-by-step explanation:

the volume of the prism with triangular base is 54 unit³

The base is a triangle with,  base i.e 4 units  and  height i.e x units

Also,  height of the prism = 3x

So, volume of the prism is,

And

,

Area_{Triangle}=\dfrac{1}{2}\times base\times Height_{Triangle}=\dfrac{1}{2}\times 4\times x=2x\ unit^2

Then,

V_{Prism}=2x\times 3x=6x^2

As the volume is given as 54 unit³, hence

6x²=54

x²=9

x=3

6 0
4 years ago
What is the value of 2.84 × 3.9?<br> A) 3.408 <br> B) 11.076 <br> C) 34.08 <br> D) 110.76
SVEN [57.7K]

The correct answer is D hope this helps


5 0
3 years ago
Read 2 more answers
A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or
Nikitich [7]

The area of each sector is the amount of space on the sector

  • The area of the entire region is 6.89
  • The area of the double region is 0.75
  • The area of the triple region is 0.46

<h3>The area of the entire sector</h3>

The area of a sector is calculated as:

A = (1/2) × r^2θ

For the entire sector, we have:

θ =  π/10

r = 6.625

So, we have:

A = (1/2) × 6.625^2 × π/10

Evaluate the product

A = 6.89

<h3>The area of the double region </h3>

For the double region, we have:

θ =  π/10

r = 6.25

So, we have:

A = Complete sector - (1/2) × r^2θ

A = 6.89 - (1/2) × 6.25^2 × π/10

Evaluate the difference

A = 0.75

<h3>The area of the triple region </h3>

For the triple region, we have:

θ =  π/10

R = 4.125

r = 3.75

So, we have:

A = (1/2) × R^2θ - (1/2) × r^2θ

A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10

Evaluate the difference

A = 0.46

Hence, the area of the triple region is 0.46

Read more about sector areas at:

brainly.com/question/16736105

8 0
2 years ago
The volume of this prism
Licemer1 [7]

<em>answer = 66 \:  {cm}^{3}  \\ solution \\ volume = lwh \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \: 11 \times 3 \times 2 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 66 \:  {cm}^{3}  \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

5 0
3 years ago
Read 2 more answers
Pete roller skates with a constant speed of 16km/h.how far can he travel in 2 1/2 hours?
WINSTONCH [101]

\frac{6}{x}  =  \frac{1}{2 \frac{1}{2} }
use butterfly method:
(6)(2 1/2) = x
15 = x
x = 15
5 0
3 years ago
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