Answers
The area covered in tiles is given as follows:
423.3 ft².
How to obtain the area covered in tiles?The dimensions of the rectangular region of the pool are given as follows:
20 ft and 30 ft.
Hence the entire area is given as follows:
20 x 30 = 600 ft².
(formula for the area of triangle).
The radius of the pool is given as follows:
r = 7.5 ft.
(as the radius is half the diameter).
Hence the area of the pool is given as follows:
A = π x 7.5²
A = 176.7 ft².
(formula for the area of circle).
Hence the area that will be covered in tiles is given as follows:
600 - 176.7 = 423.3 ft².
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Related Questions
Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.64% of women in the sample are the primary investor in their household.
There is an association between U.S. women and being the primary investor in their household.
Answers
The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.
What will the inference be?This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.
According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.
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A ball is thrown at an angle of 45° to the ground. If the ball lands 74 m away, what was the initial speed of the ball? Step 1 From the equations, for a projectile fired at angle of elevation a with initial speed Vo, the position vector is given by r(t) = (vo cos(Q))ti + [(vo sin(a))- 2.902]j. Since our ball is thrown at angle of elevation a = 45°, its position vector is r(t) = (vo cos(45°))ti + [(vo sin(450))- 294]}, which evaluates to r(t) 1 V 2. ( V2 2 V2 voti + 2 √2 vot j. -292) Step 2 y component of We now find the value of t at which the ball hits the ground. At that moment, the y r(t) is 0. Therefore, vot gt) = 0. 2 Solving this for t gives us t = 0 (which corresponds with the time the ball is thrown, and is therefore vova irrelevant) and t = 9.8 g g Step 3 Now that we know the ball hits the ground at t= vOVE, we substitute this value into the x component to find the value of x at landing. vo? v2 vot = VZ vo(vov?) x - gv2 2 2 g 2
Answers
The initial speed of the ball was approximately 26.73 m/s.
The position vector of the ball at time t is given by r(t) = (vo cos(a))ti + [(vo sin(a))t - (1/2)gt²]j, where vo is the initial speed, a is the angle of elevation (45° in this case), and g is the acceleration due to gravity (9.8 m/s²).
So, for the given problem, r(t) = (vo cos(45°))ti + [(vo sin(45°))t - (1/2)gt²]j.
Simplifying this, we get r(t) = (vo/√2)ti + [(vo/√2)t - 4.9t²]j.
The ball hits the ground when its y-component is zero, i.e., (vo/√2)t - 4.9t² = 0.
Solving this quadratic equation, we get t = 0 (which is the time the ball is thrown) or t = (vo/√2)/4.9.
We know that the ball lands 74 m away, which is the x-component of the position vector at time t = (vo/√2)/4.9.
So, substituting t = (vo/√2)/4.9 in the x-component of the position vector, we get 74 = (vo/√2)((vo/√2)/4.9).
Simplifying this, we get vo² = (744.9√2)/cos(45°) = 715.08.
Taking the square root of both sides, we get vo ≈ 26.73 m/s.
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Noa was paid a 25 percent commission for selling a used car.
Percents
Total
100%
If she was paid $1,631.24, what was the selling price of the car?
$4,078.10
$6,524.96
$8,156.20
$40,781.00
Answers
Answer:
$6,524.96
Step-by-step explanation:
His quarter commission times four is the awnser
Answer:
BHOPE THIS HELPSBrianna is driving on a long road trip. She currently has 9 gallons of gas in her car. Each hour that she drives, her car uses up 2 gallons of gas. How much gas would be in the tank after driving for 5 hours
Answers
Answer:
-1 gallons, or basically 0 gallons
Step-by-step explanation:
You can't have a negative gallon, so it will have to be called 0. An expression could be made, which is 9 - 2x. X is the number of hours, which is 5. 5 times 2 is 10, and subtracted from 9 is -1. However, for this to really make sense, it would have to be 4.5 (4 hours, 30 minutes) hours to completely empty Brianna's car of gas, not 5 hours.
The following is a list of grades that students received on a recent math exam:
77, 78, 81, 62, 63, 65, 81, 92, 93, 89, 91, 78, 66, 75, 78, 80, 91, 93, 95, 93, 91, 88, 76, 89, 91, 96.
The teacher wants to list all test scores. Which of the following displays would represent the data in this way?
Box plot
Circle graph
Histogram
Stem-and-leaf plot
Answers
Histogram is the displays would represent the given data. Therefore, option C is the correct answer.
What is range?The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.
Given that, the data is 77, 78, 81, 62, 63, 65, 81, 92, 93, 89, 91, 78, 66, 75, 78, 80, 91, 93, 95, 93, 91, 88, 76, 89, 91, 96.
The ascending order of given numbers is 62, 63, 65, 66, 75, 76, 77, 78, 78, 78, 80, 81, 81, 88, 89, 89, 91, 91, 91, 91, 92, 93, 93, 93, 95, 96.
Use the class intervals 60-70, 70-80, 80-90, 90-100, to plot the histogram for the given data set.
Hence, Histogram is the displays would represent the given data. Therefore, option C is the correct answer.
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sin² x + cos²x = 1
Which Trigonometric Identity is given above?
- Pythagorean Identity
- Lagrange's Trigonometric Identity
- Angle Sum and Difference Identity
- Tangent Identity
Answers
The Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.
What is Pythagorean Identity?The Pythagorean Identity which tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one is known as or called a trigonometric identity.
The Pythagorean identity can be expressed as:
sin² x + cos² x = 1
This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.
Therefore the correct option is A.
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What is the lenght of the side opposite the 30 degree angle?
Answers
Answer: 60 degrees
Step-by-step explanation:
a triangle has a interior sum of 180°
90 + 30 = 120
180 - 120 = 60
ANSWERED
Erica is looking to save as much money as possible on a pair of ear buds. She finds the deals on screen while shopping. Order the deals from least to greatest amount of money saved, in dollars.
· You can convert a percent to a decimal.
25% = 0.25
· Find the amount of savings by multiplying the percent or fraction of savings by the original price.
0.25 ×
$19.00 = $?
· Order the deals from least to greatest dollar amount saved.
Answer:
1) D
2) A
3) B
4) C
Answers
The deals, ordered from the least to the greatest amount of money saved, in dollars, are A ($4.25), C ($5.60), D ($3.87), and B ($4.75).
We have,
The deals, ordered from the least to the greatest amount of money saved, in dollars, are:
Deal A: $4.25 off $13.40
The sale price for deal A is $13.40 - $4.25 = $9.15
Deal C: 1/3 off $16.80
The sale price for deal C is $16.80 - (1/3)($16.80) = $11.20
Deal D: 15% off $25.80
The sale price for deal D is $25.80 - 0.15($25.80) = $21.93
Deal B: 25% off $19
The sale price for deal B is $19 - 0.25($19) = $14.25
Therefore,
The deals, ordered from the least to the greatest amount of money saved, in dollars, are A ($4.25), C ($5.60), D ($3.87), and B ($4.75).
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A comparison of 2 numbers is a
Answers
Answer:
A comparison of 2 numbers is 8
Step-by-step explanation:
because 2*2*2=8
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Answers
What is the area of this compound figure?
Answers
Answer: 188in^2
Step-by-step explanation:
You can break the figure into 3 smaller shapes
15 x 5
10 x 5
and 9 x 7
The areas of these smaller shapes are 75, 59 and 63
adding these areas together would get you 188 in squared.
Solve the following absolute value equation.
Answers
Answer:
x= 8
x= -8
Step-by-step explanation:
|x+1| /3 = 3
|x+1| = 9
|x| + |1| = 9
|x| = 8
x= 8
x= -8
5) Emilio deposits $1,000 at the end of each year for 5 years into a savings account that earns 5% annually. For the next 5 years, he deposits nothing. At the end of year 10 , Emilio uses the accumulated amount to purchase a perpetuity that pays P at the end of each year. What is P ?
Answers
The annual rate of return is 5% and the compounding is annual. Emilio deposited $1000 at the end of each year for the first 5 years.
The accumulated amount at the end of the 5th year will be given as follows:Year 1: $1000Year 2: $1000 (1 + 5%) = $1050Year 3: $1000 (1 + 5%)^2 = $1102.50Year 4: $1000 (1 + 5%)^3 = $1157.63Year 5: $1000 (1 + 5%)^4 = $1215.51Therefore, the accumulated amount will be equal to $1000 + $1050 + $1102.50 + $1157.63 + $1215.51 = $5526.64.Emilio deposited nothing for the next 5 years, so the accumulated amount after 10 years would be the amount of $5526.64 invested for the next five years with a 5% annual rate of return and a compounding frequency of 1 per year.
Now, we can apply the formula to calculate the present value of the perpetuity, which is as follows:
Present value of perpetuity = Annual payment / Discount rate
Since we know that the discount rate is 5% and Emilio has $11,551.32, so the present value of perpetuity will be:
P = 0.05 × $11,551.32 = $577.57
Therefore, the amount Emilio will receive at the end of each year will be $577.57, which is the answer to this problem. The total number of words used in the solution is 195.
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What information is needed to write the equation of a line in point-slope form?
The location of one ordered pair that lies on the line and the line's slope.
The line's slope and one ordered pair that is not on the line.
The location of one ordered pair on the line and one ordered pair that is not on the line.
The slope of the line and the location of the origin.
Answers
The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option
Point-slope form of the equation of a lineFrom the question, we are to determine the information that is needed to write the equation of a line in point-slope form.
The point-slope form of a line is given as
y - y₁ = m(x - x₁)
Where, (x₁, y₁) is a point on the line
and m is the slope of the line
Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:
1. An ordered pair on the line
2. The slope of the line
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It takes 1200 workers 8 years to build 3 ziggurats. How many years would it take 1600 workers to build 25 ziggurats? (Assume all workers work at the same constant rate.) You can solve this problem without knowing what a ziggurat is!
Answers
The number for years that it would take 1600 workers to build 25 ziggurats is 66.67 years.
How to calculate the number of years?To find out how many years it would take 1600 workers to build 25 ziggurats, you can use the formula:
(time taken by 1200 workers to build 3 ziggurats) x (1600 workers / 1200 workers) x (25 ziggurats / 3 ziggurats) = time taken by 1600 workers to build 25 ziggurats
Plugging in the given values:
(8 years) x (1600 / 1200) x (25 / 3) = 8 years x (4/3) x (25/3)
= 8*25/3
= 200/3
= 66.67 years
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Can anyone plz help?
Answers
Answer:
Step-by-step explanation:
Angle R= 42
TS is 6
Because Triangle PQR is equal to UTS
Angle R is equal to angle S because of where its placed in the wording
TS is equal to QR
Answer:
∠ R = 42°, TS = 6
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, then
∠ R = ∠ S = 42°
TS = QR = 6
Express 2075 In prime factors then find it's square root
Answers
Answer:
2,075 = 5 × 5 × 83
√2,075 = 5√83 = about 45.55
determine which statement is true
Answers
Answer:
C and A are true
Step-by-step explanation:
solve the system of equations x^2 + y^2 = 1 and y= 2x -2/5
Answers
When we solve the system of equations, x² + y² = 1 and y = 2x - 2/5, the result obtained are:
(x, y) = (-7/25, -24/25) and (3/5, 4/5)How do i solve the equation?The equations x² + y² = 1 and y = 2x - 2/5 can be solved as follow:
First, we shall solve for x
x² + y² = 1 ....... (1)
y = 2x - 2/5 .....(2)
Substitute the value of y in equation 2 into equation 1, we have
x² + (2x - 2/5)² = 1
Expanding, we have
x² + (4x² - 8x/5 + 4/25) = 1
x² + 4x² - 8x/5 + 4/25 = 1
5x² - 8x/5 + 4/25 = 1
Multiply through by 25
125x² - 40x + 4 = 25
125x² - 40x + 4 - 25 = 0
125x² - 40x - 21 = 0
125x² - 75x + 35x - 21 = 0
25x(5x - 3) + 7(5x - 3) = 0
(25x + 7)(5x - 3) = 0
25x + 7 = 0 or 5x - 3 = 0
x = -7/25 or 3/5
Now, we shall solve for y
When x = -7/25
y = 2x - 2/5
= 2(-7/25) - 2/5
= -14/25 - 2/5
= -24/25
When x = 3/5
y = 2x - 2/5
= 2(3/5) - 2/5
= 6/5 - 2/5
= 4/5
Thus, the solution to the equations are:
(x, y) = (-7/25, -24/25) and (3/5, 4/5)
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Please help
2.01, 2.1, 2.001
Answers
Answer:
2.01
Step-by-step explanation:
i got the question easily i hope it helps
Pls help Which of the following exponential equations is equivalent to the logarithmic equation below ? In x = 7
Answers
Answer:
Step-by-step explanation:
Let's write that out completely:
\(ln_e(x)=7\) The rule for going from log to exponential is what I call the "circular rule" in my classes and the kids never forget it. Take the base of the log, raise it to the power of the number on the other side of the equals sign, and then circle back to set it equal to the argument.
e is the base. Raise e to the 7th and circle back to set the whole thing equal to x (x is called the argument):
\(e^7=x\) choice C.
CH3CH2CHCH2CH3OH name ?
Answers
Pentane
Explanation:
what's carbon dioxide?
Answers
Answer:
Carbon dioxide is a chemical compound composed of one carbon and two oxygen atoms. It is often referred to by its formula CO2. It is present in the Earth's atmosphere at a low concentration and acts as a greenhouse gas.
Step-by-step explanation:
There is also more to know about this. It's also a chemical.
Use the law of cosines to find the length of a
Answers
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
\(\frac{sin55}{175}=\frac{sin42}{a}\) and solving for a:
\(a=\frac{175sin42}{sin55}\) so
a = 143.0
8+(-3) what is the answer
Answers
Answer:
5
Step-by-step explanation:
Add. 8 plus a negative three would be subtracting 8-3.
Hope this helped and have a great day!
Answer:
5
Step-by-step explanation:
8 + (-3)
8 - 3
5
Best of Luck!
if your research plan and objectives require a large sample size and fast data tabulation, what type of data collection method would you most likely recommend?
Answers
The type of data collection method would you most likely recommend when the research is a quantitative research.
What is a quantitative research?Quantitative research is concerned with collecting numerical data and generalizing it across groups of individuals or explaining a specific occurrence. Quantitative research is concerned with numbers, reasoning, and an objective viewpoint. Quantitative research is concerned with numerical and static data.
Quantitative research collects data that can be easily examined, tallied, and objectively broken down. These strategies collect enough information to produce measurable results, and supervisors utilize them to educate the decisions they make.
It's an ideal solution for larger scale considerations that could become clunky with the type of open-ended inquiries sometimes associated with subjective surveys.
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HELP! offering 75 points
Answers
Answer: C
Step-by-step explanation:
hope this helped
2 - 3(x + 4) = 3(3 - x)
Answers
The equation 2 - 3(x + 4) = 3(3 - x) has no solution for x
Calculating the eqautionFrom the question, we have the following parameters that can be used in our computation:
2 - 3(x + 4) = 3(3 - x)
Open the brackets
So, we have
2 - 3x - 12 = 9 - 3x
Evaluate the like terms
So, we have
-10 = 9
The above equation is false
Hence, the equation has no solution
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For each equation, explain what you could do first to each side of the equation so that there would be no fractions.
Answers
To simplify the equations so that there would be no fractions, we
1. Multiply both sides by 8
2. Multiply both sides by 12
3. Multiply both sides by 10
4. Multiply both sides by 30
Simplifying an equation so that there would be no fractionsFrom the question, we are to determine what we could do first to each side of the equations so that there would be no fraction
1. (4x -4)/8 = (x +2)/4
Multiply both sides by the LCM of the denominators
The denominators are 8 and 4
The LCM of 8 and 4 is 8
Thus,
Multiply both sides by 8
8 × (4x -4)/8 = 8 × (x +2)/4
4x -4 = 2(x +2)
2. 3(4 - r)/6 = (4 + r) /4
Multiply both sides by the LCM of the denominators
The denominators are 6 and 4
The LCM of 6 and 4 is 12
Thus,
Multiply both sides by 12
12 × 3(4 - r)/6 = 12 × (4 + r) /4
2 × 3(4 - r) = 3(4 + r)
6(4 - r) = 3(4 + r)
3. (5q + 3)/10 = (q + 2)/5
Multiply both sides by the LCM of the denominators
The denominators are 10 and 5
The LCM of 10 and 5 is 10
Thus,
Multiply both sides by 10
10 × (5q + 3)/10 = 10 × (q + 2)/5
(5q + 3) = 2(q + 2)
4. 4(b - 7)/15 = (b + 3)/10
Multiply both sides by the LCM of the denominators
The denominators are 15 and 10
The LCM of 15 and 10 is 30
Thus,
Multiply both sides by 30
30 × 4(b - 7)/15 = 30 × (b + 3)/10
2 × 4(b - 7) = 3(b + 3)
8(b - 7) = 3(b + 3)
Hence, we will multiply both sides of the equation by 30
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3. Given PQ = 7x - 3 and QR = 32 – 2x and PR = 59. What is the value of x? What is the value of PQ? What is the value of QR? Be sure to show your work and all three answers.
Answers
Answer:
wag po kayo mag bibigay ng points na marami
Kasi ma iiscam po kayo
Answer:
See belowStep-by-step explanation:
We assume Q is between P and R.
According to segment addition postulate we have:
PQ + QR = PRSubstitute values and solve for x:
7x - 3 + 32 -2x = 595x + 29 = 595x = 30x = 6Find PQ:
PQ = 7*6 - 3 = 42 - 3 = 39 unitsFind QR:
QR = 32 - 2*6 = 32 - 12 = 20 units