The volume of the cylinder is 1809.5 cubic units.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that a cylinder with a radius of 6 and height of 16.
Here r = 6 and h = 16,
the volume of a cylinder = πr²h
the volume of a cylinder = π(6)²×16
the volume of a cylinder = 1809.5 cubic units
Thus, the volume of the cylinder is 1809.5 cubic units.
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A lifeguard walks around the perimeter of the lazy river ride. How far does the lifeguard walk?
The lifeguard walks around the perimeter which is 637.50 feet.
Perimeter is defined as the measure of sum all sides of a 2 dimensional figure. To calculate the perimeter we add all the individual sides of a polygon. The perimeter of a square is the sum of all four sides.
Since a triangle has three sides, the perimeter of a triangle is calculated by adding the sum of all the three sides of the triangle.
In the given figure we can see that the triangle is isosceles and the measure of the sides of the triangle are 216.75 feet , 216.75 feet and 204 feet.
Now the lifeguard walks around the perimeter of the triangular lazy-river ride.
Therefore perimeter = 216.75 +216.75 + 204 = 637.50 feet
Hence the lifeguard walks the perimeter which is 637.50 feet.
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For each of the following, evaluate or solve, assuming that the function is one-to-one.
Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden.
The length of each side of the original garden was
feet.
The area of the original garden was
feet2.
The original garden was 6 feet long on each side. The original garden's footprint measured 36 feet.
How would you define Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
Using the information provided,
(x-1)²=25
(x-1)=5
x=6
6x6=36 feet²
The original garden had six sides that were the same length.
The original garden covered 36 feet of space.
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Answer:
6 ft & 36ft
Step-by-step explanation:
11. Myrtle Gould's total sales last month were $180,700, and her commission was $5,040. She earns a
commission only on monthly sales over $50,000. Find her rate of commission to the nearest tenth percent.
South-Western Publishing
7
Chapter 1 Workbook
The rate of commission for a commission of $5040 on total sales of $180700 nearest to tenth percent will be 2.8 %.
What is commission rate ?
The commission rate is the percentage or fixed payment associated with a certain amount of sale.
It is given that , Myrtle Gould's total sales last month were of $180700. And the commission she got for the sales was $5040.
Here , the sale is above the criteria to get the commission which is $50000.
The rate of commission can be calculated as follows :
Rate of commission (R) = (5040 × 100) / 180700
or
R = 504000 / 180700
or
R = 2.8 %
or
Rate of commission will be 2.8 %.
Therefore , the rate of commission nearest to tenth percent will be 2.8 %.
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Professor Dale records the following final grades in one of her classes: A, A, A, A, B, B, B, B, B, B, B, C, C, C, C, C, C, C, C, D, D, D, F, F Which value would complete the frequency table for these grades? Grade Frequency Relative Frequency Cumulative Frequency A 4 16.70% 4 B 7 29.20% 11 C ???? 33.30% 19 D 3 12.50% 22 F 2 8.30% 24 Total 24 100% 24
The value of the frequency for grade C from given table of final grade is 8.
As given,
Given frequency table is:
Grade: A B C D F
Frequency: 4 7 ? 3 2
Relative Frequency: 16.70% 29.20% 33.30% 12.50% 8.30%
Cumulative Frequency: 4 11 19 22 24
Given records: A, A, A, A, B, B, B, B, B, B, B, C, C, C,C, C, C, C, C,D,D,D, F,F
Here : frequency of grade C is 8 times
or Cumulative frequency (19-11=8).
Therefore, the value of the frequency for grade C from the given table of final grade is 8.
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Jayme buys a painting for $179.99 for his apartment. The tax rate is 6.5%. How much did Jayme spend after tax?
Answer:
$191.69
Step-by-step explanation:
Solve the equation.
2+|2x−4|=10
Enter your answers by filling in the boxes.
x =
or x =
Answer:
Step-by-step explanation:
|2x+4|=8
2x+4=8 and 2x+4=-8
x=2 and x=-6
find it quick please
Answer:
i. 13/40
Step-by-step explanation:
i. [tex]5 \div 8 + 3 \div - 10[/tex]
Taking LCM of 8 & 10, we get 40
[tex]25 - 12 \div 40[/tex]
So, we get 13/40
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.
Answer:
10362
I found it from somewhere
Here are four digits.
9648
Use three of these digits to write down the smallest possible 3-digit number.
Answer:
468
Step-by-step explanation:
use the smallest digit in the hundreds place , that is 4
use the next smallest digit in the tens place, that is 6
use the next smallest digit in the units place, that is 8
smallest 3- digit number is 468
Answer: 468
Step-by-step explanation:
Numbers are= 9,6,4,8
Now, rearrange all numbers according to weight,
4<6<8<9
The smallest possible 3-digit number will be 468
Red can clean a room in 20 hours alone, while Blue can clean the same room in 10 hours. If they started cleaning a room together at 8:00am, then at what time will they finish cleaning the room together?
Answer:
No.
Step-by-step explanation:
Blue will be done cleaning the room at 6:00PM, while Red will be done by 4:00AM.
The table shows the relationship between x-values and y-values. Which of the following statements is true?
Answer:
When faced with this question as multiple choice, you can either try to verify that one of the answers is true, or you can try to solve for the answer and compare to the choices. Your challenge during a multiple choice test is to identify the fastest possibility so that you can go on to the next problem.
In this case neither choice takes any significant amount of time. You can verify which equation is satisfied by any two points in the table very quickly.
Or you can notice that the equations are all linear and then take two points and solve for the equation of the line between them.
In either case, answer C quickly reveals itself as correct.
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
V(x) = -1600x + 21,000
x (number of years)
Step-by-step explanation:
"advised "
(a). if x = 4 (replace x with 4)
Using the formula above
V(4) = -1600(4) + 21,000
= -6400 + 21,000
= $14600
Value of the car after four years is $14600.
(b). if x = 8 (replace x with 8)
Using the formula
V(8) = -1600(8) + 21000
= -12800 + 21000
= $8200.
Value of the car after eight years is $8200.
(c). V(10) = 5000
This is the value of the car after 10 years
Check.
V(10) = -1600(10) + 21,000
= -16000+21,000
= $5000.
Value of the car after 10 years is $5000.
Hope this helps >>>>
Carlos’ pay stub is shown. What is his net pay? Round to the nearest cent. Gross Pay-$1,800.00
Medicare-$26.10
Social Security (6.2%)-?
Federal Withholding Income Tax (19%)-?
By subtracting the taxes from the gross pay we can see that Carlos' net pay is $1,500.30
How to find Carlos' net pay?We know that the gross pay is $1,800, now we need to subtract the social security and taxes.
First, there is a 6.2% and 19% in taxes, adding that we get:
6.2% + 9% = 15.2%
Then we need to subtract a 15.2% of the gross pay, this will give:
P = $1,800*(1 - 15.2%/100%) = $1,800*(0.848) = $1,526.40
And now we also need to subtract the Medicare, which is $26.10, it gives:
$1,526.40 - $26.10 = $1,500.30
We conclude that Carlos' net pay is $1,500.30
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Two towns are 52 km apart. Buses travelling
between the two towns leave at the same
time but travel in opposite directions. The
bus from town A is travelling 80 km/h and
the bus from town B is travelling 70 km/h.
How long after they leave will they pass each
other? (Reminder: there are 60 minutes in an
hour!)
Step-by-step explanation:
x = number of km bus from A drives until they meet.
y = number of km bus from B drives until they meet.
x/80 is the time for the bus from A to reach the meeting point.
x/70 is the time for the bus from B to reach the meeting point.
both times must be equal, as they start at the same time.
so,
x/80 = y/70
but then we also know that together they have traveled the full 52 km to meet.
so,
x + y = 52
x = 52 - y
with that we go into the first equation :
(52 - y)/80 = y/70
(52 - y)/8 = y/7
7×(52 - y)/8 = y
7×(52 - y) = 8y
364 - 7y = 8y
364 = 15y
y = 364/15 km = 24.26666666... km
x = 52 - y = (780-364)/15 = 416/15 = 27.73333333... km
they will meet after (using bus from B)
364/15 / 70/1 = 364/1050 hours
= 182/525 hours =
= 60×182/525 = 10920/525 minutes =
= 728/35 = 104/5 = 20.8 minutes =
= 20 minutes 60×8/10 seconds =
= 20 minutes 48 seconds
control (using bus from A) :
416/15 / 80/1 = 416/1200 hours =
= 26/75 hours =
= 60×26/75 = 1560/75 minutes =
= 104/5 = 20.8 minutes
correct.
In the figure, m ∠ 7 = 100 ° . Find the measure of ∠ 8 .
In the figure, m ∠ 7 = 100 °. The measure of angle 8 is 80°
What do you mean by an angle?An angle is a figure in the Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by the two rays are in the plane where the rays are located. The meeting of the two planes also creates angles. We refer to these as the dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of the intersecting curves.
Angle can also refer to length of a rotation or an angle. This metric represents relationship between a circular arc's length and radius. The arc is centered at the vertex and defined by sides in the case of a geometric angle. When there is a rotation, the arc is defined by any other point and rotation's image, and it is centered at the rotation's center.
Given,
∠7 = 100°
According to the given figure,
∠7+∠8= 180°
100°+ ∠8= 180°
∠8= 180°- 100° = 80°
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can anybody help me with this question
Answer:
45.83/100
Step-by-step explanation:
assuming all participate in a language
German=1/6
French=3/8
Italian=remaining percentage=a
1/6+3/8+a=1
8/48+18/48+a=1
a=48/48-26/48
a=45.83/100
Compute ⌈x⌉ and ⌊x⌋ for the following value of x. 71.999
The floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.
What is the Floor and Ceiling Functions?By definition, the ceiling function returns the smallest nearest integer which is greater than or equal to the specified number whereas the floor function returns the largest nearest integer which is less than or equal to a specified value.
Thus, the Floor function ⌊x⌋ of 71.999 returns 71 which is less than 71.999. Meanwhile, the ceiling function ⌈x⌉ of 71.999 returns 72 which is greater than 71.999.
Thus, we conclude that the floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.
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Write the slope-intercept form equation of the line that passes through the points (1,−6) and (9,−5).
Complete the equation in the space below (do not enter "y = ").
Answer:
Step-by-step explanation:
Point slope form y-y₁ = m(x-x₁)
-5 - (-6) = m(9 - 1)
1 = m(8)
1/8 = m
y= 1/8x + b
-6 = 1/8(1) + b
b = -6.125
y = 1/8x -6.125
This is a question from Algebra 1, relating to symbolic representation. Please add an explanation to your answer. Thank you! I will mark you brainliest if you answer & explain!
What the given equation m = ((C + 200y) - 8000))/12y represents is as follows;
m is the amount of each monthly payment
C is the cost of the car
y is the length of loan in years
(C + 200y) - 8000) is the total amount she will repay
12y is the number of payments that she will make
How to interpret Compound Interest formula?
We know that the formula to get the compound interest is;
A = P(1 + r/100)ⁿ
Where;
A is Amount.
P is Principal
r is Rate of interest
n is time in years
Now, when we compare that to our formula given as;
m = ((C + 200y) - 8000))/12y
we can say that;
m is the amount of each monthly payment
C is the cost of the car
y is the length of loan in years
(C + 200y) - 8000) is the total amount she will repay
12y is the number of payments that she will make
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Find the x-intercept and y-intercept from the graph below.
Answer:
Step-by-step explanation:
First choice
to find x intercept, substitute y = 0.
where it cuts the y axis is -55
similarly, where it cuts the x-axis is 25
anser is x-int (-55,0) u - int (x,25)
A party planner is making gift bags for an event. He has 96 pencils,
36 erasers, and 24 pencil toppers. Each bag needs to have the same number
of each object. What is the greatest number of gift bags that the party
planner can make? How many of each item are in each bag?
Considering the greatest common divisor, you obtain:
the greatest number of gift bags that the party planner can make is 12.the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.Greatest common divisorThe greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.
A method to calculate the greatest common factor must follow the following steps:
Decompose or separate each number into prime factors.Common factors are noted.In each of the commons, the factor with the smallest exponent is chosen.Multiply the chosen factors.This caseTo find the greatest number of gift bags the party planner can make, you find the greatest common divisor.
To do this, decompose the numbers 96, 36 and 24:
96= 2⁵×336= 2²×3²24= 2³×3The common factors with the smallest exponent are: 2² and 3
So, the greatest common divisor between 96, 26 and 24 is calculated as: 2²×3= 4×3= 12
This means that the greatest number of gift bags that the party planner can make is 12.
To calculate the number of each item present in each bag, you divide the quantity of each item by the quantity of gift bags:
96 pencils÷ 12= 8 pencils36 erasers÷ 12= 3 erasers24 pencil toppers÷ 12= 2 pencil toppersFinally, the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.
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m = x+y/3 solve for y
Answer:
y=3m-3x
Step-by-step explanation:
[tex]m=x+\frac{y}{3} \\ \\ m-x=\frac{y}{3} \\ \\ y=3m-3x[/tex]
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer:
437 33473333336575848
Answer:
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer choice: C & E.
Step-by-step explanation:
Glad to help.
put the unknown price of the four tire patches as x,
and for all, it should add up to $22.20 and you're to subtract $1.90.
Justify -7k=-42 , then k=6
Answer: K=6 is correct
Step-by-step explanation:
If you substitute 6 for k and then multiply -7 the answer equals correctly!
What is the equation of the line that is parallel to the given line and passes through the point (-3, 2)? is it d?
Answer: The answer would be 3x+4y=-17
Step-by-step explanation: The reason why that would be the answer is because when you substitute the coordinates into the equation you get -17 and their asking if it is parallel and they are!
Hope this helps :P
I’m confused can someone help?
Answer: Maybe you have to divide $525 over 5 friends so you will get how much each one gets.
What value of a makes the following equation true?
a−8a=210
Enter your answer as a number, like this: 42
Explain why it is not reasonable to say that 6.32 is less than 6.235 because 6.32 has
fewer digits after the decimal point than 6.235.( Use the process of comparing
numbers to help you with your explanation
The number of digits attached to the number is irrelevant as long as we considering the first non-identical integer. For example:
[tex]6.32215 > 6.32214 \\ since \: 5 > 4[/tex]
Additionally some numbers are written with two decimals only, implying that there an infinite amount of unnecessary zeros attached at the end. For example:
[tex]6.32 = 6.320000000000000000...[/tex]
Now a more clear approach would be to compare these two numbers after attaching these zeros.
[tex]6.3200000000... \\ 6.2350000000...[/tex]
Comparing the first three digits,
[tex]320 > 235 \\ 6.32 > 6.235[/tex]
am i crazy or is this problem actually hard?! please help
Answer: its correct
Step-by-step explanation:
