Lesson 16
Problem 1
A landscape architect is designing a pool that has this top view:
How much water will be needed to fill this pool 4 feet deep?
Answers
Answer:
546 ft³
Step-by-step explanation:
In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.
Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²
Area of the rectangle: 1.5*11 = 16.5 ft²
Total area: 120 + 16.5 = 136.5 ft²
Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³
Related Questions
Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.
A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.
Based on the tree diagram, what is the probability that the science project is first?
one over six
three over six
four over six
two over six
Answers
Answer:
I believe it might be 2over 6
Step-by-step explanation:
my guess but it might be wrong or right i dont know
Volume
From the page you printed out, cut out the nets of the cubes labeled A and B. Fold the nets and tape or glue them together to make cubes.
Part A
What is the side length of cube A? Write the length in inches. (Use fractions if necessary.)
Part B
What is the volume of cube A?
Part C.
What is the side length of cube B? Write the length in inches. (Use fractions if necessary.)
Part D
What is the volume of cube B? How many cubes identical to cube A are needed to fill cube B?
Answers
Here are the answers to the questions:
Part A The side length of cube A is 1 inch.
Part B The volume of cube A is 1 inch x 1 inch x 1 inch = 1 cubic inch.
Part C The side length of cube B is 3 inches.
Part D The volume of cube B is 3 inches x 3 inches x 3 inches = 27 cubic inches. To fill cube B with cubes identical to cube A, you need 27 cubes of 1 cubic inch each. This is because 27 cubic inches / 1 cubic inch = 27.
i need help again, can someone help me?
Answers
Answer:
9 x 10 to the 15th power.
Step-by-step explanation:
I hated I-ready. Good luck!!!
Answer:
yeah she already answered it but that would also be my answer.
I need help with these math problems, if you could help me out it would be great thanks.
Answers
Answer:
I can help!!!
Step-by-step explanation:
Answer: 33: -3 + 8 = 5 (5 • 2 = 2.5)
34: 12 -| -7 |
Step-by-step explanation:
answer parts a and b to the question attached.
Answers
Answer:
Step-by-step explanation:
uuhhh help me out please?
Answers
When solving real-world problems involving rational numbers, what can help you determine which operation and strategy to use?
Answers
‼️WILL GIVE 30 POINTS‼️
‼️‼️WILL MARK BRAINLIEST, IF HELPFUL‼️‼️
Answers
Answer:
Area of original figure = area of parallelogram
= 7 yd • 4 yd
= 28 yd^2
3 feet = 1 yard, so 9 ft^2 = 1 yd^2
28 yd^2 (9 ft^2/1 yd^2) = 252 ft^2
For each pair of points, think about the line that joins them.
For which pair(s) is the line parallel to the x-axis?
Select all correct answers.
Answers
Answer:
fd
Step-by-step explanation:
spañol
Answer:
The answer might be number b
At a berry farm, Clayton picks 1 1 4 cups of blackberries and twice as many raspberries. He takes the berries home and uses them to make mixed-berry muffins. If Clayton needs 3 4 of a cup of mixed berries for each batch of muffins, how many batches can he make?
Answers
Answer:
5 batches
Step-by-step explanation:
your welcome
PLEASE HELP `30 points!!!!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
What is 0.65 expressed as a fraction in simplest form?
What is 2.¯5 expressed as a fraction in simplest form?
What is 1.0¯24 expressed as a fraction in simplest form?
Answer:
Part A)
Part B)
Part C)
Answers
Answer:
Step 1: Write down the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.
Step 2: Multiply both the numerator and denominator by 10^n, where n is the number of digits after the decimal point.
Step 3: Simplify the resulting fraction.
Using these steps, we can convert the given decimal numbers to fractions:
0.65
Step 1: 0.65 = 65/100
Step 2: Multiply numerator and denominator by 10 to get rid of the decimal point: 65/100 = 650/1000
Step 3: Simplify by dividing numerator and denominator by their greatest common factor of 50: 650/1000 = 13/20
Therefore, 0.65 expressed as a fraction in simplest form is 13/20.
2.¯5
To handle repeating decimal numbers, we can use the following method:
Step 1: Let x be the repeating decimal number.
Step 2: Multiply both sides of x by 10^n, where n is the number of digits in the repeating part of the decimal number.
Step 3: Subtract the original number from the number obtained in step 2 to eliminate the repeating part.
Step 4: Solve for x by dividing both sides of the equation obtained in step 3 by an appropriate factor.
Step 1: Let x = 2.¯5
Step 2: Multiply both sides by 10: 10x = 25.¯5
Step 3: Subtract the original equation from step 1: 10x - x = 25.¯5 - 2.¯5
Simplifying: 9x = 23
Step 4: Solve for x by dividing both sides by 9: x = 23/9
Therefore, 2.¯5 expressed as a fraction in simplest form is 23/9.
1.0¯24
Step 1: Let x = 1.0¯24
Step 2: Multiply both sides by 10^2 to eliminate the repeating part: 100x = 124.¯24
Step 3: Subtract the original equation from step 1: 100x - x = 124.¯24 - 1.0¯24
Simplifying: 99x = 123
Step 4: Solve for x by dividing both sides by 99: x = 123/99
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 3: 123/99 = 41/33.
Therefore, 1.0¯24 expressed as a fraction in simplest form is 41/33.
Step-by-step explanation:
0.65 expressed as a fraction in simplest form is 13/20.
2.5 expressed as a fraction in simplest form is 5/2.
1.024 expressed as a fraction in simplest form is 256/250.
What is the simplified form of the expressions in fraction?0.65 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 0.65 becomes 0.65/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 100 will do the trick, so we get (0.65 × 100)/(1 × 100) = 65/100.
Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 65 and 100 is 5, so dividing both by 5 yields 13/20.
2.5 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 2.5 becomes 2.5/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 10 will do the trick, so we get (2.5 × 10)/(1 × 10) = 25/10.
Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 25 and 10 is 5, so dividing both by 5 yields 5/2.
1.024 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 1.024 becomes 1.024/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 1000 will do the trick, so we get (1.024 × 1000)/(1 × 1000) = 1024/1000.
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 1024 and 1000 is 8, so dividing both by 8 yields 128/125.
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Mr. Figueroa sells memberships to a fitness club. He earned $250 for selling 5 memberships. Mr. Figueroa earned $325 for selling 8 memberships. Which of the following equations represents this situation, where m represents the number of memberships Mr. Figueroa sold and e represents the amount he earned?
O e = 25m
Oe = 50m
Oe= 25m+125
Oe=50+ 125
Answers
Answer:
e = 50m
Step-by-step explanation:
5 members ships:
5x25= 125
125+125= 250
8 memberships:
8x25=200
200+125=325
hope that helped!
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
Use each table to find the requested ratio.
Answers
Answer:
Step-by-step explanation:
1. 1:4
2. 1:2
3. 5:1
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
PLEASE HELP. URGENT 8TH GRADE MATH QUESTION. GIVING AS MANY POINTS AS I CAN TO THE CORRECT ANSWER. THANK YOU YA'LL ARE LIFE SAVERS
Answers
Z=98
I’m bad at explaining so if you needed an explanation I’m sorry!!
Because z and 82 angles are internal angles
And total of the two inner corners 180
Y =82+32 =114
Y=114 multiply 5=22.8
answer th question in file please!
Answers
Answer:
A
Step-by-step explanation:
plug in your x each time and you get these equations , y = 0^2-3= -3 , y=1^2 -3 = -2, y= 2^2-3= 1 , y=y=3^2-3= 6
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Tennis Soccer Baseball Basketball
Number of Students 12 44 17 27
Which of the following graphs correctly displays the data?
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled tennis going to a value of 12, the third bar labeled basketball going to a value of 27, and the fourth bar labeled soccer going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled tennis going to a value of 17, the second bar labeled soccer going to a value of 12, the third bar labeled baseball going to a value of 27, and the fourth bar labeled basketball going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled soccer going to a value of 17, the second bar labeled tennis going to a value of 12, the third bar labeled basketball going to a value of 27, and the fourth bar labeled baseball going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled soccer going to a value of 17, the second bar labeled tennis going to a value of 12, the third bar labeled basketball going to a value of 27, and the fourth bar labeled baseball going to a value of 44
Answers
Answer: A - first answer (about bar graph)
Step-by-step explanation:
Bar graph (not histogram) because the data isn't a frequency, just a category and numerical data.
The data matches us with the first possible answer choice, so that is correct. (The 3rd choice is also a bar graph, but the data is mixed up.)
Hope this helped!
What is the best explanation of what the digit 2 in the quotient represents?
Pls Help!
Answers
Answer:
ummm the answer is ....
Step-by-step explanation:
Answer:
the number obtained by one number by another
Step-by-step explanation:
The price was $250. Now its 100 find the percentage change
Answers
Answer:
Step-by-step explanation:
The formula for percent change is
\(\frac{original-new}{original}*100\)
Therefore,
\(\frac{250-100}{250}*100=60\)%
Answer: 60%
Step-by-step explanation:250 - 100 = 150
150/250 = 60/100 = 60%
Can someone help me in this question?
The radius of the front wheel of Brian's bike is 64cm.
Brian goes for a cycle and travels 33.47km.
How many full revolutions did Brian's front wheel complete?
Answers
Answer:
3347000 cm is 33.47 km to cm
3347000/64=
401.92 is the circumference
since it is pi * d
do 3347000/401.92
8327.52786624 round to
8327 full revolutions
Answer:
3347000 cm is 33.47 km to cm
3347000/64=
401.92 is the circumference
since it is pi * d
do 3347000/401.92
8327.52786624 round to
8327 full revolutions
The length of a garden is 225% of its width. If the width of the garden is 4 meters, what is the area of the garden?
Answers
twenty eight meter²........
Help please answer only if you know
Answers
Hope this helps?
Answer:
A
Step-by-step explanation:
A scientific notation is not in double digits and always has a positive exponent
Becky takes out a loan for $5,000. She plans to repay the loan in 8 years. The interest rate is 7.3% compounded annually. How much will she have to pay in interest?
Answers
(0.073 x 5,000) x 8
$2920 is our total interest :)
Answer:
$3785.53
Step-by-step explanation:
You want the interest amount due at the end of 8 years on a $5000 loan at 7.3% compounded annually.
Future valueThe amount due is multiplied by (1 +0.073) each year. After 8 years, the amount due will be ...
5000(1.073^8) ≈ 8785.53
Of that, 5000 is the principal amount, so the remainder is interest.
interest = $8785.53 -5000
interest = $3785.53
Becky will have to pay $3785.53 in interest.
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please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
I need some help understanding this problem and figuring out the answer.
Answers
Answer:
1) yes the data is proportional
2) k= 3/4
3) y= 3/4 x
In this question you can simply find the partten by dividing y with x
Determine which of the following sets of ordered pairs represents a function.
A. {(12,−9), (12,4), (12,3), (12,−1)}
B. {(4,−9), (10,12), (4,3), (10,−1)}
C. {(−16,−9), (10,4), (7,3), (−16,−1)}
D. {(−16,−9), (10,−9), (4,−9), (7,−9)}
Answers
Answer:
D
Step-by-step explanation:
A. One-to-many relation is NOT a function
B. One-to-many relation is NOT a function
C. One-to-many relation is NOT a function
D. Many-to-one relation ia a function
what is the height of a rectangular prism that has a volume of 28- meters cubed, a length of 8 meters and a width of 7 meters,
Answers
x - 3y = 0 a direct variation?
If yes, identify the constant of variation
Answers
Answer:
Let's solve for x.
x−3y=0
Step 1: Add 3y to both sides.
x−3y+3y=0+3y
x=3y
Step-by-step explanation:
Hope I helped
Plz help And show ur work
Answers
Answer:
12.
a) 1/4
b)3/5
c)1/2
d)19/50
Answer:
12
a)1/4 & 0.25
b)0.60 & 3/5
c)0.50 & 1/2
d) 0.38 and 19/50
Step-by-step explanation: