Answer:
A= 2pirh +2pir^2
972=2 x pi x x x 5x + 2 x pi x x^2
972= 31.4x^2 + 6.28x^2
972=37.68x^2
x^2= 972/37.68
x^2=25.796
x= 25.796 square root
x= 5
The value of x is 5 cm.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of a cylinder = 972 cm²
The surface area of a cylinder.
= 2πrh + 2πr²
Diameter = 2x
Radius = x
Height = 5x
Now,
2πrh + 2πr² = 972
2π (rh + r²) = 972
2π (5x² + x²) = 972
2π x 6x² = 972
6x² = 972/(2 x 3.14)
6x² = 154.78
x² = 25.79
x = √25.79
x = 5.08
x = 5
Thus,
x value is 5.
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someone please help!
Answer:
The answer would be option C
A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK
Answer:
720
Step-by-step explanation:
10 times 9 times 8 equals 720
720 ways can the team choose one captain and then two assistants.
We need to find how many ways can the team choose one captain and then two assistants.
What is the formula to find the permutation?The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].
Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]
=10×9×8×7!/7!=720
Therefore, one captain and then two assistants can be chosen in 720 ways.
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Which equation represents a line with a slope of -8 and
a y-intercept of 4?
y = -8x4
y = - 4x +8
y = -8x4
y = 8x+4
The equation y = -8x + 4 represents the given problem.
What is slope and y-intercept?'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.'
According to the given problem,
We know,
Equation of a line can be represented as,
y = mx + c, where, m = slope
c = y-intercept
Slope of the line = -8
Y-intercept of the line = 4
Therefore,
The equation of the line:
⇒ y = -8 + 4
Hence, we can conclude, the equation y = -8x + 4 represents the given line.
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Driving would be more pleasant if we didn't have to put up with the bad habits of other drivers. A newspaper reported the results of a Valvoline Oil Company survey of 500 drivers in which the drivers marked their complaints about other drivers. The top complaints turned out to be tailgating, marked by 22% of the respondents; not using turn signals, marked by 19%; being cut off, marked by 14%; other drivers driving too slowly, marked by 9%; and other drivers being inconsiderate marked by 5%.
Required:
Make a Pareto chart showing percentage of drivers listing each stated complaint.
Answer and Explanation:
The Pareto chart is used in descriptive statistics and shows graphically the most frequent occurencies(complaints in this case) using bars and lines.
Please find attached
A small orchestra has 3 stringed instruments. What is the ratio of violins to cellos?
A. 5/15
B. 6/11
C. 5/6
D. 6/5
Violin to Celio.
Violin : Celio
Violin = 6
Celio = 5
6:5
D. 6/5
Please help. find the missing side of each triangle
Answer:
x = √146 = 12.1 (nearest tenth)
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b², where,
c = x
a = √82 km
b = 8 km
Plug in the values
x² = (√82)² + 8²
x² = 82 + 64
x² = 146
x = √146 = 12.1 (nearest tenth)
simplify: (2x^2y^3)3 x (4xy)2
Answer: 48yx^1+2y^3
Step-by-step explanation:
ava pours 3 gallons of paint equally into 5 cans. how many gallon of paint will there be in each can?
Answer:
15 gallons of paint
Step-by-step explanation:
5 x 3 = 15
equal groups !
if you help i will say thank you
Answer:
C
Step-by-step explanation:
(5,-4)
Answer:
C
Step-by-step explanation:
(5,-4) by using elimination method
9 more than 6 times a number? How is it written as?
Answer:
6x + 9
Step-by-step explanation:
Please help me I really need it
Answer:
Step-by-step explanation:
multiply all number then add it to 32
PLEASE HELL I NEED THIS ONE FAST PLEASE
Which statement is true about the decimal expansion of ? 3/7
O A. It is a rational number because it is a terminating decimal.
○B. It is an irrational number because it is not a terminating decimal.
○C. It is a rational number because after reaching a remainder of 3 for the second time the quotient will start repeating.
O D. It is an irrational number because after reaching a remainder of 3 for the second time the quotient will start repeating.
Answer:
A is the answer because divide 7 divided by 3 a
HELP PLEAASE I WILL GIVE BRAINLIEST PLSSSSSS I WILL GIVE BRAINLIEST
Answer:
It is B
Step-by-step explanation: n is -1.5 and m is 2.5
-1.5 + 2.5 = 2
Answer:
I feel like it is the second one B
Step-by-step explanation:
Because it is the one that makes sense and is true.
the difference of f and 1/3 is 1/12
Answer:
1/4
Step-by-step explanation:
1/3 - 1/12 = 4/12 - 1/12 (LCM)
= 3/12
=1/4 (simplified)
PLEASE HELP
HELP
ILL MARK BRAINLIEST
HELP
HELP
PLEASE HELPP
Answer:
D
Step-by-step explanation:
The others don't work as it would if it was the older men
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)
Cheryl wrote 14 posts, because 21 - 7 = 14
Hope this helps <3
1. We have chosen a variable 'x' to represent the number of posts by Kevin.
2. Subtraction applies to this situation.
3. The number of posts written by Cheryl is (x - 7).
4. If Kevin wrote 21 posts, Cheryl wrote 14 posts.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Let, Kevin writes 'x' number of posts,
Therefore, Cheryl writes (x - 7) posts.
We could have chosen any letters for the number of posts Kevin writes,
And as Cheryl writes fewer posts than Keving we subtracted the number.
If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,
(21 -7).
= 14 posts.
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Use this table to answer questions below. Choose the correct answer.
According to the line graph, between 1950 and 1970 approximately which year had the lowest percentage of business failures?
Answer:
The answer is 1954
Step-by-step explanation:
Answer:
1954
Step-by-step explanation:
It is the lowest percentage of business failures. Refer to the scale on the left.
Can someone please help me on this???I keep messing it up.
Answer:
The answer is B
Step-by-step explanation
As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.
solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen
Answer:
theres no picture
Step-by-step explanation:
Edward runs 30 miles in 5 days. Martha runs 28 miles in 4 days. Who runs more miles per day?
solve for x. show your work.
Hello!
[tex]\large\boxed{x = 8}[/tex]
The two angles pictured are corresponding angles, so they are congruent.
Therefore:
17x - 4 = 12 + 15x
Isolate for x by subtracting 15x from both sides:
2x - 4 = 12
Add 4 to both sides:
2x = 16
Divide both sides by 2:
x = 8.
Answer:
x=8
Step-by-step explanation:
These angles are what we call corresponding angles. This simply means that they are the same. Therefore, we set 17x-4 equal to 12+15x. To isolate x, add 4 to both sides, and subtract 15x from both sides. 2x=16. x=8. To check, both angles = 132 degrees.
A glass is full. Then 65cm3 of orange juice is poured in.
The glass is now
6/7
full. What is the total volume of the glass?
Answer: 74.2857143 milliliters
Step-by-step explanation:
65cm3 + 9.28571429 milliliters = 74.2857143 milliliters
(-Z - 8) - (62-5)
Help me please thank
Answer: -z-65
Step-by-step explanation:
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F. please say the equation.
Answer:
0.25 hours
Step-by-step explanation:
The equation for a linear function is given by:
y = mx + b,
where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).
Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.
Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:
m = -4 degrees Fahrenheit per hour, b = 0. Hence:
y = -4x
The time taken to reach -1°F is gotten by substituting y = -1 and finding x:
y = -4x
substituting:
-1 = -4x
x = -1 / -4
x = 0.25 hours
0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute
Therefore at 1:15 P.M, the temperature is -1°F
Will give brainliest
Answer:
.c
Step-by-step explanation:
Which answer is a solution for x?
X/7= 8
A 8
B 15
C 48
D 56
HELP MEH PLS PLS ASAP PLEASE
quadrilateral ABCD is a kite with an area of 14cm squared. the length of ED is 5 cm. what is the length of BE?
Answer:
85
Step-by-step explanation:
The length of BE is 5.6 cm.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The area of a kite can be calculated as;
A = d1 x d2 / 2
WE are given the parameters as;
d1 = ED = 5 units
A quadrilateral ABCD is a kite with an area of 14cm squared.
Therefore,
14 = 5 x BE / 2
14 x 2 = 5 BE
28 = 5 BE
BE = 5.6 cm.
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X-8-3X-10
Use distributive property
Answer:
5x-10
Step-by-step explanation:
8x-3x-10
first you subtract 3from 8 and get 5 just add the x so your left with 10
Answer:
-2(x+9)
Step-by-step explanation:
x-8-3x-10
-4x-18
-2(x+9)
Hope it helps you
HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!
Answer:
Point d
Step-by-step explanation:
because the x is -2 and the y is 3 so you look for the x and then the y
what is the radius with an area of 2.25cm squared?
Answer:
9 centimeters He said squared And radius...
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