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3 years ago

A marble tile measures 20 cm by 15 cm.how many tiles will be required to cover a wall of size 5m by 3m?

1 answer:

5 0

First, we get the area of each tile: (100 cm = 1m)
.20 m* .15 m = 0.03m^2
Then, we solve for the total area of the wall:
5m*3m= 15m^2
Then we divide
15/0.03 = 500 tiles

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An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

scoundrel [369]

Answer:

When the water level is 3 cm, the rate at which the water level is rising is 30.86 cm/s.

Step-by-step explanation:

We first have to relate the height H of the pyramid with the volume V.

The volume of the pyramid is V=Sh/3, being S: area of the base square, and h: height of the pyramid.

The base is changing as the pyramid is filled with water.

Then, the volume for every height is:

$V(t)=[L(t)]^2h(t)/3$

The side of the square will grow linearly with the height. They start at H=0 and L=0 at the bottom of the pyramid, and they end at H=10 and L=3.

So we have:

$L=(3/10)h=0.3h$

If we replace in the volume equation we have:

$V=L^2h/3=(0.3h)^2h/3=0.09h^3/3=0.03h^3$

We know that the rate of variation of the volume in time is contant and equal to 25 cm3:

$dV/dt=25$

We can derive the volume equation to calculate the variation of h in time:

$dV/dt=3(0.03)h^2*(dh/dt)=0.09h^2*(dh/dt)=25\\\\dh/dt=(25/0.09)h^{-2}=278h^{-2}$

The rate of variation of the height in time is dh/dt=278h^(-2). The units are cm/s.

When the water level is 3 cm, the rate at which the water level is rising is:

$h=3\\\\dh/dt=278*3^{-2}=278*(1/9)=30.86$

7 0

4 years ago

Help!!!!!!! how to turn 421 centimeters to meters

alexandr1967 [171]

Answer:

The formula would be to divide the length value by 100 , yielding 4.21 meters.

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Linda paid $48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket

kap26 [50]

$48/x 25%/100

48 x 100= 4800
4800 / 25= 192
answer: $192

3 0

4 years ago

1. Given that U = {1, 2, 3, ..., 10}, S = {3, 5, 7, 9} and T = {4, 5, 6, 7}, find S-T

blondinia [14]

The set of, S - T = {3, 9}

Define Set Operation.

To obtain a combination of components according to the operation done on them, the set operations are conducted on two or more sets.

In a set theory, there are three major types of operations performed on sets, such as:

1) Union of sets (∪)

2) Intersection of sets (∩)

3) Difference of sets ( – )

We know, S -T = S ∩ T'

Given, universal set is U = {1, 2, 3, ..., 10}

S = {3, 5, 7, 9} and T = {4, 5, 6, 7}

Now, find T' (T's compliment),

The complement of set T is defined as a set that contains the elements present in the universal set but not in set T.

T' = {1, 2, 3, 8, 9, 10}

given, S = {3, 5, 7, 9}

Find, S ∩ T'

S ∩ T' = {3, 5, 7, 9} ∩ {1, 2, 3, 8, 9, 10}

The intersection of two sets S and T is a subset of the universal set U and contains elements that are present in both sets S and T. It is represented by the symbol "∩".

so, S ∩ T' = {3, 9}

Hence, S - T = S ∩ T' = {3, 9}

To read more about Set Operation.

brainly.com/question/25870256

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5 0

1 year ago

HELPPPPP MEEEEEE T~T PLEASEEEE

Ksju [112]

Answer: The answer is A) 3 1/4 miles

Step-by-step explanation: You just had to divide it

Hope this helps!!

6 0

3 years ago