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
alukav5142 [94]
3 years ago
9

Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water

level was 11 inches above the 2014 level. What is the percentage change in the lake volume over that year? Hint: Find and use the answers to these questions: • What is the average depth of the lake in feet? Hint: Consider the depth of a box with the volume and surface area of the lake. • Approximately how much water in cubic feet has the lake gained?
Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

You might be interested in
BRAILEST + THANKS <br> F(x)=x^2+14 and g(x)=x−8<br> Find (f+g)(−1)
Murrr4er [49]

Answer:

Step-by-step explanation:

Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.

f(x) = x² + 14      g(x) = x - 2      -1 ?   I think it means evaluate when x = -1

Find (f(x) + g(x))  when x = -1

 (f(x) + g(x))  =   [ ( x² + 14)  +  (x - 2)]        insert f(x)  and g(x)

                    =   [ x² + x + 14 - 2]               add like the term

 (f(x) + g(x))  =   x² + x + 12

(f(-1) + g(-1))  =   (-1)² + (-1) + 12             evaluate at x = -1

                   =    1 - 1 + 12

                   =    12

6 0
2 years ago
shut up bought a pen on sale. she saved 17% of the original price of $29. about how much money did she save? a $1 b $5 c $10 or
vredina [299]

Answer:

$4.93 cents so round it to $5.00

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
there are seven people and Luisa's family they have four loaves of cinnamon bread to share equally Luisa wants to know how much
makvit [3.9K]

Answer:

\frac{4}{7} of a loave of bread per person

Step-by-step explanation:

<u>Step 1:  Convert words to expressions </u>

Seven people in Luisa's Family = <em>7 people </em>

Four loaves of cinnamon bread = <em>4 loaves </em>

<u>Step 2:  Divide people from loaves </u>

4 loaves / 7 people  <-  This means they are splitting 4 loaves of bread between 7 people

\frac{4}{7} of a loave of bread per person

Answer:  \frac{4}{7} of a loave of bread per person

7 0
3 years ago
How is a parallelogram different than a rhombus?????
melisa1 [442]
A rhombus has all sides of equal length, while a parallelogram not necessarily.

3 0
3 years ago
Create a sample of 10 numbers that has a mean of 8.6.
GrogVix [38]

Answer:

10 + 8 + 10 + 10 + 10 + 10 + 8 + 8 + 6 + 6

8 0
3 years ago
Other questions:
  • How does a large outlier affect the data set?
    13·1 answer
  • Calculate dy/ds if y = Ln 2(x^3 + 3x)
    9·1 answer
  • Answer quick for my hw pls
    13·2 answers
  • Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile
    15·2 answers
  • Find the range 4.7 6.3 5.4 3.2 4.9
    12·1 answer
  • Last year there were k pies baked in the bake sale. This year, there were 187 pies baked. Using k, write an expression of the to
    13·1 answer
  • Which quadratic rule represents the data in the table?
    9·1 answer
  • Write the rule to describe this transformation. <br><br> Need help please!
    6·1 answer
  • The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken
    10·1 answer
  • Help PLSSSSS I will give you Brainlyist <br> I suck at math it should be easy
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!