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wel
2 years ago
15

Mrs. Chang's class built a platform for use in a school play. What is the

Mathematics
2 answers:
denis23 [38]2 years ago
6 0

Answer:

v = 108^{3}

Step-by-step explanation:

I'd start with breaking the platform into two parts, the long flat rectangle and then the bit on top. You'll have to add these together at the end!

_________________

So part one: the long piece

formula: v = lwh

dimensions: 12, 3, 2

plug in: v = 12 * 3 * 2

solve: v = 72^3

_________________

part two: smaller rectangle on top ::

formula: v = lwh

dimensions: 4, 3, 3

plug in: v = 4 * 3 * 3

solve:v = 36*3

__________________

now, we add for the total of the entire shape!

final answer: 72 + 36 = 108^3

Degger [83]2 years ago
3 0

Answer:

Total Platform = 128 ft^3

Step-by-step explanation:

Volume = Length * Width * Height

Left Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Mid Volume: 4 ft * 4 ft * 5 ft = 80 ft^3

Right Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Total Volume = 24 ft^3 + 80 ft^3 + 24 ft^3 = 128 ft^3

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Rufus appears before Bill and Ted and offers them a bogus proposition: they must paint a house together with their magical guita
jolli1 [7]

Answer:

6.79

Step-by-step explanation:

-Let X denote the total amount of the job.

-The job has to be done in 5 hrs, therefore the portion done every hour is:

Rate=\frac{Total}{Time}\\\\=\frac{X}{5}\\\\=\frac{1}{5}X=0.2X

Therefore, the rate of Bill and Ted working jointly must equal the rate calculated above:

R_{Bill}=\frac{X}{19}\\\\=\frac{1}{19}X\\\\R_{Bill}+R_{Ted}=R_{required}\\\\\frac{1}{19}X+R_{Ted}=\frac{1}{5}X\\\\R_{Ted}=\frac{1}{5}X-\frac{1}{19}X\\\\=\frac{14}{95}X\\\\\therefore \frac{14}{95}X=1\ hr\\\\X=1\div \frac{14}{95}\\\\=6.7857\approx 6.79hrs

Hence, Bill working alone should complete the house in 6.79 hrs

6 0
3 years ago
Nadia thinks of a number.
kogti [31]

let the num be a

/a÷5=20

/a=20×5

/a =100

square root of 100 is 10

so the number is 10

3 0
3 years ago
An open sentence that contains the symbol , or ≥ is called a(n)
Thepotemich [5.8K]

Answer:

It is called an inequality.

hope this helps!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP DUE IN ! HOUR
alekssr [168]

Answer:

c. Mary charges $12.00 per hour for labor to paint houses. What is x, the number of hours Mary worked if she charged $240.00 for labor?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
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