The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])
The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]
The given parameters are:
[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]
[tex]\mathbf{r=4\sqrt 3}[/tex]
The surface area of a cylinder is calculated as:
[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]
Substitute values for Area
[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]
Divide through by pi
[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]
Substitute value for r
[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]
[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]
[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]
Collect like terms
[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]
Make h the subject
[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]
[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]
Rationalize
[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]
[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]
Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]
Read more about surface areas t:
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Can someone answer this please I need it ASAP
Answer:
Frank scored 10 runs
B) the mean is 20
Step-by-step explanation:
house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain
Answer:
2085 feet
Step-by-step explanation:
If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.
Helppppppppppppp please
Answer:
1.45 x 10^2
Step-by-step explanation:
In scientific notation, you get the number down to 1 digit before the decimal place and all the rest after it, then multiply by 10 raised to a power in order to get it back to the original. An easy way to do it is to count the number of times you moved the decimal and remember which direction you did it. The number is the power (in this case 2) and the direction tells you if it's positive or negative (in this case it was to the left, so it's positive two.)
In simpler terms, slide the decimal to the right two places and make it 1.45, then multiply it by 10^2 (which is 100) to make it equal to 145. This leaves you with 1.45 x 10^2.
If there are 6 $5 bills how many 10$bills are there?
Answer:
3
Step-by-step explanation:
6*5=30
30/10=3
Answer:
3
Step-by-step explanation:
6 * 5 = 30
Then, 30 / 10 = 3
x(x+6)=-8 quadratic equation
Answer:
x=-2 or x=-6
Step-by-step explanation:
x^2+6x+8=0
(x+2) (x+6)=0
x=-2 or x=-6
2x=14−2
Find the value of x
Don't give wrong answer
Answer:
[tex]\sf\longmapsto \: x = 6[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 12[/tex]
[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]
[tex]\sf\longmapsto \: x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hey there,
[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Nick walked ¾ of a mile in 12 minutes. At the same pace, how far could he walk in 48 minutes?
Answer:
3 miles
Step-by-step explanation:
To get from 12 to 48 we can multiply by 4. So if we multiply 3/4 by 4 we would get the number of miles:
3/4 × 4 is the same as 3/4 × 4/1 which is 12/4 or 3
He could walk 3 miles in 48 minutes.
Hope this helps!
a worker uses 45 inches of steel to make 300 nuts of the same size how many inches of steel wire will be needed to make one such nut?
Answer:
about 6.66666 inches
Step-by-step explanation:
It says you're in college why do you need help with such a simple problem?
what is the inverse function of h(x)=-3/5x+1/2?
Answer:
h−1(x)=−5x/3+5/6
Step-by-step explanation:
your answer is the second one
Answer:
The answer is the third one
Step-by-step explanation:
I did the test
What is 6(x+4) 1 hehe
Answer:
2
Step-by-step explanation:
two plus four equals six
p=(m+n)/-5 solve for n
n= -5p - m
dis is 20 characterrs now
The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?
Answer: This can be written as x + (x-9) + 3(x-9) = 99
5x - 36 = 99
5x = 135
x = 135/5 = 27
You can now just plug in the value of x for each of the initial terms to get:
n1 = 27
n2 = 18
n3 = 54
Step-by-step explanation:
Draw a Graph y=3/2x+2
The answer is in the graph.
Answer:in the picture
Step-by-step explanation:
please give me a brainliest answer
Briarwood middle school chess club has 40 members 14 of the members are in seventh grade what percent of the members of the chess club in seventh grade
Answer:
i got you
Step-by-step explanation:
40% because it is
Find the measure of the angle with the red dot (NOT X.)
Picture Included. Thank you!
Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
What is the answer??? I need help fast pls
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )
If ∠A = 2x + 1 and ∠B = x + 10
Then 2x + 1 must equal x + 10
( note that we've just created an equation that we can use to solve for x )
We now solve for x using the equation we just created
2x + 1 = x + 10
Subtract x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
In the diagram, lines BC and DE are parallel.
What is the measure of Zx?
Simplify the following expression:
За2 + 2а – 2а? - а
Answer:
3a^2
Step-by-step explanation:
2a-2a is equivalent to 0 there by making 3a^2 remaining
Label the figure.
20,24,114,702
Does anybody know this question
Answer:
13h
Step-by-step explanation:
A = LW
A = 13 cm * h cm
A = 13h cm^2
We know that two sides of the rectangle are 13cm. To find the area, we need to find h. It looks like h is 1/3 of the longer side, so 13 divided by 1/3 is 4.3. 13 times 4.3 is 55.9cm. I hope this helps!
Solve the equation 3x2 +5=4x
Step-by-step explanation:
the roots are complex
the answer is in the image above
helppppppppppppppppppppppppppppppppppppp
write an equivalent expression for x^4 over 4
help
please
Answer:
1/4 · x⁴
Step-by-step explanation:
The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?
The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5
Given the cost function :
y = 5.75 + 2.5(x - 2)Expanding the function and expressing in slope intercept form:
y = 5.75 + 2.5x - 5
y = 2.5x + 2.75
Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.
Learn more :https://brainly.com/question/18112348
Needs to show work.
Find the X intercept and the Y intercept for 2x-6y=12
Answer:
x: (6,0)
y: (0,-2)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y intercept, substitute in 0 for x and solve for y .
Ex -
X : 2x -6(0)=12
2x=12
2 cancels out with 2
12/2 = 6
Y: 2(0 )- 6y =12
-6y=12
negative 6 times negative 6 cancels
12/-6 = -2
Answer:
See Below
Step-by-step explanation:
Given: 2x-6y=12
Plug 0 in the equation for y:
y is zero
2x-6(0)=12
2x=12
The x-intercept: (6,0)
Plug 0 in the equation for x:
x is zero
2(0)-6y=12
−6y=12
The y-intercept: (0,−2)
What is the rate of change for 1
Step-by-step explanation:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. The rate of change is 401 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.
The Blazers hockey team has won 5 of its first 12 games. No game was tied. The Rockets’ record is 5 wins and 3 losses. Which team has the better record?
help please
Answer:
The Rockets' team has the better record.
Step-by-step explanation:
The Blazers hockey team has played 12 games but they won only 7 out of the 12 games, so that means that they loss the other 5 games. So that makes the Blazers record 7 wins and 5 losses.
The Rockets' team has played 8 games but they won only 5 out of the 8 games, so that means that they loss the other 3 games. So that makes the Rockets' record 5 wins and 3 losses.
So, the Rockets' team has the better record because they loss less games than the Blazers team did.
Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?
Having a hard time with the last one.
Answer:
-28
Step-by-step explanation:
20x+12y-28=20x+12y+[?
subtract like term so 20x-20x and 12y-12y
therefore -28 =[?
Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The messages sent by them are ~
Maya = 33 messages Greg = 24 messages Tom = 96 messages[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let the number of messages sent by Maya be x,
messages sent by Greg = x - 9
messages sent by Tom = 4(x - 9)
and, total number of messages sent by them all together is equal to ~ 153
that is ~
[tex]x + x - 9 + 4(x - 9) = 153[/tex][tex]2x - 9 + 4x - 36 = 153[/tex][tex]6x - 45 = 153[/tex][tex]6x = 153 + 45[/tex][tex]6x = 198[/tex][tex]x = 198 \div 6[/tex][tex]x = 3 3[/tex]Hence, the messages sent by them are ~
Maya = x = 33Greg = x - 9 = 33 - 9 = 24Tom = 4(x - 9) = 4 × 24 = 96Let Maya send m
Greg send m-9
Tom sent 4(m-9)
ATQ
m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33Greg=33-9=24
Tom=4(24)=96
11 over 8 as decimal
Answer:
[tex] \frac{11}{8} = 1.375[/tex]
