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Dmitry_Shevchenko [17]
3 years ago
11

If 3/4 of a ton of sand covers 2/5 of a playground, how many tons of sand are required to cover the entire playground?

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
3t/4=2p/5  solve for p

p=15t/8

p=1.875 tons of sand
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What is the surface area of the figure? Can you please explain how to get it
goldenfox [79]

Answer:

The surface area of the solid = 582 feet²

Step-by-step explanation:

* At first lets study the solid

- it consists of 8 faces

- One base with dimensions 15 and 4 feet (1)

- Two side faces L-shaped with dimensions 15 , 4 , 9 ad 6 feet (2)

- One side face with dimensions 4 and 15 feet (3)

- One side face with dimensions 9 and 4 feet (4)

- One side face with dimensions 6 and 4 feet (5)

- One top base with dimensions 9 and 4 feet (6)

- One top base with dimensions 6 and 4 feet (7)

* Now lets find the area of the faces

- A(1) = 15 × 4 = 60 feet² ⇒ rectangular face

* We can find the area of L-shaped by this way

∵ Area of the square face = 15 × 15 = 225 feet²

∵ Area of the small rectangle = 9 × (15 - 9) = 54 feet²

- Lets subtract the area of the small rectangle from the area of

  the square, to find the area of the L-shaped

- A(2) = 2 ( 225 - 54) = 2 (171) = 342 feet²

- A(3) = 4 × 15 = 60 feet² ⇒ rectangular face

- A(4) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(5) = 6 × 4 = 24 feet² ⇒ rectangular face

- A(6) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(7) = 6 × 4 = 24 feet² ⇒ rectangular face

* Lets add all of these areas to find the surface area of the solid

∴ The S.A = 60 + 342 + 60 + 36 + 24 + 36 + 24 = 582 feet²

5 0
3 years ago
Does this graph represent a function? Why or why not?
RoseWind [281]

Answer:

D

Step-by-step explanation:

There are no two points on the same line so the answer is D

I hope this is right!

6 0
3 years ago
Order of operations
lorasvet [3.4K]
PEMDAS

12*(3/4) comes first

8+9=17
7 0
3 years ago
Read 2 more answers
Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?
nikklg [1K]
x-\ number\ of\ nickels\\
y-\ number\ of\ dimes\\\\
x+y=25 \ \ \ | x=25-y\\
0.05x+0.1y=1.65\\\\
0.05(25-y)+0.1y=1.65\\\\
1.25-0.05y+0.1y=1.65\\\\
1.25+0.05y=1.65\ \ \ | subtract\ 1.25\\\\
0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\\\\
y=8\\\\
x=25-8=17\\\\
There\ are\ 17 \ nickels\ and\ 8\ dimes.

6 0
3 years ago
A light shines from the top of a pole 50ft high. a ball is dropped from the same height from a point 30 ft away from the light.
belka [17]
The speed of the ball is 
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft

50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
7 0
3 years ago
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