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
marissa [1.9K]
3 years ago
15

Jalisa needs to purchase a cover for her oval-shaped pool. The pool's length and width measurements, as marked by dotted lines,

are 31 feet and 15 feet.
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

The area of the pool is: 365.025 squared feet

Step-by-step explanation:

Given

L = 31 --- Length

W = 15 --- Width

Required

The area of the pool

The area of an oval shape (i.e. the pool) is:

Area = \pi ab

Where

a = \frac{L}{2}

b = \frac{W}{2}

So, we have:

Area = \pi * \frac{L}{2} * \frac{W}{2}

Area = \pi * \frac{31}{2} * \frac{15}{2}

Area = \pi * \frac{465}{4}

Area = \pi * 116.25

\pi = 3.14

So:

Area = 3.14 * 116.25

Area = 365.025

You might be interested in
Felix said quadrilateral ABCD is a parallelogram because<br> BE = DE. What was his error?
Kamila [148]

Answer:

There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.

Step-by-step explanation:

To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.

Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"

7 0
3 years ago
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?<br> –196<br> –168<br> 22<br> 78
nirvana33 [79]

Answer:

fg(-2)=f(5×-2+4)=f(-6)=8-10×-6=8+60=68

7 0
3 years ago
Read 2 more answers
An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera
atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

Cost = 51.275

Step-by-step explanation:

The given parameters can be summarized as:

\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}

Where: x = Soybeans and y = Oats.

So, the system of equations are:

70x + 21y = 168

9x +7y = 27

7x + y = 14

Cost = 21x + 7y

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

70x + 21y = 168

9x +7y = 27

7x + y = 14

From the attached graph, we have:

(x_1,y_1) = (1.636,2.545)

(x_2,y_2) = (1.775,1.575)

(x_3,y_3) = (2.023,1.256)

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

Cost = 21x + 7y

(x_1,y_1) = (1.636,2.545)

Cost = 21 * 1.636 + 7 * 2.545

Cost = 52.171

(x_2,y_2) = (1.775,1.575)

Cost = 21 * 1.775 + 7 * 1.575

Cost = 48.3

(x_3,y_3) = (2.023,1.256)

Cost = 21 * 2.023 + 7 * 1.256

Cost = 51.275

The values of x and y that gives the minimum cost is:

(x_2,y_2) = (1.775,1.575)

and the minimum cost is:

Cost = 48.3

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0
3 years ago
17. Which of the following measures can be calculated for qualitative data? a. Mean b. Median c. Mode d. All of these
VLD [36.1K]

Answer: C. Mode

Step-by-step explanation:

Qualitative data applies to observable data such as reoccurring patterns (mode)

Quantitative data applies to numbers and numerical calculations (Mean, Median)

6 0
3 years ago
Helene invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% an
kykrilka [37]
<span>100% of $X plus 100% of $Y equals $1000 4% of $X plus 6% of $Y equals $58 To solve that clear the second equation of decimals by multiplying through by 100: Solve that by either substitution or by elimination: X = $100 at 4% and $900 at 6%</span>
3 0
3 years ago
Other questions:
  • Let x represent the number of small candle. let y represent the number the number of large candles.
    10·1 answer
  • Find the x-and y-intercept of the graph of each equation 4x-3y=12
    14·1 answer
  • If Joan read 75 pages in 4 hours how long will it take her to read 250 pages
    9·1 answer
  • PLEASE HELP!!! Divide. -10 divided by 5?
    11·1 answer
  • What is the inequality of a number n minus 3 is at least -5
    15·1 answer
  • What is 31 divided by 216
    8·1 answer
  • Write a function rule for the table of values.
    8·1 answer
  • The difference between a and b is 12. The number a is 5 more than 3 times the number b. Which of the following pairs of equation
    12·1 answer
  • Round <br> $34.7691 to the nearest cent.
    9·2 answers
  • Three pounds of bananas cost $7. How many pounds of bananas per dollar is that?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!