1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga55 [171]
3 years ago
6

The base of a house has area 110 m². One night 12 mm of rain falls on the roof. All of the water goes into a tank which has base

diameter 4 m.
a Find the volume of water which fell on the roof.
b. How many KL of water entered the tank?
c. By how much did the water level in the tank rise?​
Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:

a. 1.32 m³

b. 1.32 kL

c. 105.04 m

Step-by-step explanation:

Area of roof = 110 m²

Rain fall = 12mm = (12/1000)m = 0.012 m

(a) Volume of water that fell on roof = Area of roof × Rain depth

    = 110 × 0.012

    = 1.32 m³

(b) 1 m³ = 1 kL

 ∴ 1.32 m³ = 1.32 kL

(c) Radius of tank = (4/2) = 2 m

    Volume of tank = Base area × Height

     = πr²h

     = π × (2)² × h

     = 4πh

     The volume added to the tank must be equal to the volume which falls on roof.

     i.e. Volume of tank = Volume of water that fell on roof

      or, 4πh = 1.32

      or, h = 1.32 / (4π)

      ∴   h = 0.10504 m = (0.10504/100)cm = 10.504 cm

∴ The water level rises by about 10.504 cm.

You might be interested in
I dont know what this is no links please
Gnoma [55]

Answer:

Hamm i think si r or q mm sorry if it's wrong

7 0
3 years ago
Read 2 more answers
Micheal used addition to find 9x100 and he said the product was 90. What did he do wrong?
Vlada [557]

Answer:

He did 9 times 10 instead of 9 times 100.

8 0
3 years ago
Pls help I will mark brainlist if correct !! :))
andreev551 [17]
You add all fruit and times to 3/8 to find strawberries

3 0
3 years ago
-3y+1/3=-5/6y-5/2 what does y equal
kotykmax [81]

Answer:

17/13

Step-by-step explanation:

- 3y +  \frac{1}{3}  =  -  \frac{5}{6}y -  \frac{5}{2}  \\  -  \frac{18}{6}y  +  \frac{2}{6}  =  -  \frac{5}{6} y -  \frac{15}{6}  \\   \frac{2}{6}  +  \frac{15}{6}  =  -  \frac{5}{6} y +  \frac{18}{6} y \\  \frac{17}{6}  =  \frac{13}{6} y \\  \frac{6}{13}  \times  \frac{17}{6}  = y \\  \frac{17}{13}  = y

8 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
Stells [14]

Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0
3 years ago
Other questions:
  • Find x if the perimeter of a rectangle is 140. The rectangle has a length of 5x and a width of 4x-2.
    6·1 answer
  • How do I write the sum of 24+40 as a product of the greatest common factor and another sum
    7·1 answer
  • Without graphing, determine the range of the function f(x) = 4|x+6|-5 over<br> the interval [-10,5].
    6·1 answer
  • James is setting up a fish tank. He is buying a breed of goldfish that typically grows to be 12 inches long . It's recommended t
    7·1 answer
  • Evaluate for this problem <br> Help!!!
    5·1 answer
  • This circle graph shows the parts of her time that Kim spends listening to different types of music. Kim spends her time listeni
    5·2 answers
  • How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of
    10·1 answer
  • Solve x2 = 144<br> A) x = ±12 <br> B) x = ±72 <br> C) x = ±288 <br> D) x = ±20,736
    10·1 answer
  • Help pleaseeeeeeeee<br> ...
    8·1 answer
  • Please help! Will mark brainliest &lt;3. (Click on the photo too see the question!)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!