the radius is approximately 6 meters,
height is approximately 11 meters
The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
What is cylinder?A cylinder is a "three-dimensional object with two round flat bases and one curved side. It has a curved surface in the middle. The base and the top surface are identical".
According to the question,
Surface area of the cylinder = 640.56 m²
Let the height of the cylinder = x meters
Let the radius of the cylinder = (x-5)meters
Formula for surface area of cylinder = 2πrh ( where 'r' is the radius of the cylinder and 'h' height of the cylinder)
640.56 = 2(3.14)(x-5)(x)
640.56/(6.28) = x² - 5x
x² - 5x =102
x² - 5x - 102 =0
using quadratic equation, [-b±√(b² - 4ac)]/2a.
b = -5; a=1; c=102
x =[-(-5) ±√(-5)² - 4(1)(102)]/2
= [5 ± √433]/2
x = 11 and -7
since x=-7 neglect negative value, we get x=11.
The height of the cylinder is 11 meters
The radius of the cylinder is (11 - 5) = 6 meters.
Hence, The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
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Amanda charges $20 fee for babysitting plus an additional $5 per hour. The Wilson family paid the babysitter a total of $35 for a night of babysitting. Which equation could be used to determine h, the number of hours Amanda was babysitting for the Wilson family?
Answer:
the equation that can be used to determine how many hours Amanda babysitted for the family =
20 + 5x = 35
Amanda babysitted for 3 hours
Step-by-step explanation:
From the question, we know that:
Amanda charges $20 fee for babysitting plus an additional $5 per hour.
Let the number of hours she babysits be represented by x
This is represented by the equation:
$20 + $5× x
= 20 + 5x
We are also told:
The Wilson family paid the babysitter a total of $35 for a night of babysitting.
Hence the equation that can be used to determine how many hours Amanda babysitted for the family =
20 + 5x = 35
5x = 35 - 20
5x = 15
x = 15/5
x = 3 hours
Therefore, Amanda babysitted for 2 hours
Write the equation of a line through point (-5,1) and perpendicular to 2x – 3y = 6?
Answer:
B. Slope = -5/4, no, not perpendicular
Step-by-step explanation:
10. Find the value of the function () = 15x2 - 4 if x = 6.
a. 180
116
b. 2/19
C.
d. 4
Answer:
your question is not clear
Step-by-step explanation:
because of option not correct arrange
Find the measure of angle r
Answer:
75 degrees
Step-by-step explanation:
75+r+30=180
105+r=180
r=75
(Multiple Choice Worth 1 points) What should be added to -5 to make the sum 0?
Answer:
5
Step-by-step explanation:
-5+5=0
The probability of making a type i error is denoted by.
The probability of making a type i error is the likelihood of type i error, and it is denoted by α
How to determine the symbolThe type-i error involves rejecting a good prediction or value indicated by the null hypothesis.
In other words, the probability of wrongly rejecting the null hypothesis is the probability of the type-i error.
And it is represented by the alpha symbol.
Hence, the probability of making a type i error is α
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do this for brainliest!!
Answer:
125 is the answer
Step-by-step explanation:
Please help fast!!!! A spinner has 3 sections
Answer:
9/20
Step-by-step explanation:
36/80
orrrr just
9/20
approximately how many times did taryn gaslight and manipulate cam??
A. never!!
B. once or twice
C. we’re gonna bump it up a little and say a good 10-20 times
D. too many to count this mf crazy.
Richard owned n cows.
Ellis had exactly 4 times as many cows as Richard.
Richard buys 13 extra cows.
Ellis sells 9 of his cows.
Ellis still has more cows than Richard.
Form an inequality, in terms of n.
Solve the inequality to find the least value of n.
You must show all your working.
need answers, please explain asap! need the answer for 2 and 3!
Volume of a cube formula: [tex]V=a^3[/tex]
Surface area of a cube formula: [tex]SA=6a^2[/tex]
[tex]a[/tex] is the side lengthArea of a TrapezoidArea of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]
[tex]a[/tex] is the length of the top side[tex]b[/tex] is the length of the bottom side[tex]h[/tex] is the height (forms a right angle with the bottom of the trapezoid)Solving the QuestionQuestion 2We're given:
Volume of the cube = 343 cm³We must solve for the surface areaFirst, use the volume formula to solve for the side length:
[tex]V=a^3[/tex]
⇒ Plug in the known volume:
[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]
Therefore, [tex]a=7[/tex].
Now, plug this value into the formula for surface area:
[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]
Therefore, the surface area of the cube is 294 cm².
Question 2We're given:
One can of paint covers 72 ft²[tex]a=14[/tex][tex]b=24[/tex][tex]h=16.5[/tex]For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.
Solve for the area of the trapezoid:
[tex]A=\dfrac{1}{2}(a+b)h[/tex]
⇒ Plug in the given information:
[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]
Therefore, the area of the trapezoid is 313.5 ft²
Multiply it by 2:
[tex]313.5*2\\=627[/tex]
Divide this by 72:
[tex]\dfrac{627}{72}\\\\=8.7[/tex]
Therefore, we need 9 cans of paint to paint two coats over the deck.
Alice makes a scale drawing of her bedroom. She uses a scale of 3 cm to represent 5 m. What ratio is Alice using?
Answer:
[tex]\frac{3}{500}[/tex]
Step-by-step explanation:
1m is 100 cm, so we have [tex]\frac{3}{500}[/tex]
Triangles ABC and DEF are similar.
Find the lengths of segments DF and EF. (do not round)
DF =
EF =
Answer:
DF=2.68
EF=2.01
Step-by-step explanation:
Calculate.
(2017 x 0.2018 x 2018 x 20.18)/(20.17 x 201.8 x 2.018)
Answer is:
2018
Have a good day :D
Plsssss help me to answer this question I will mark you brainlist.
The solution the inequality 4(3x + 2) - 6 > 8 + 2(x - 8) is a x > n. What is the value of n?
n=?
Answer:
-1
Step-by-step explanation:
First you simplify your parenthesis, then subtract 2x from both sides. Then subtract both sides by 2, then finally divide both sides by 10. x > -1 So n = -1
Hope I helped! :)
For 30 points
The pattern 2, 5, 17, ________, ________ follows the rule multiply by 4, then subtract 3. What are the next two terms?
Answer:
the next two are 65, and 257
Answer:
65 and 257
Step-by-step explanation:
17x4=68 68-3=65. 65x4=260 260-3=257
SHOW WORK AND I WILL GIVE BRAINIEST
Ethan is a 5 ft 4 inches tall. How tall is he in cm, if 1 in is about 2.54 cm?
Answer:
he is 162.56
Step-by-step explanation:
Answer:
162.56 cm
Step-by-step explanation:
Convert 5 ft 4 inches to inches (5 x 12) +4
Then convert to cm
64in 2.54cm
--------- x --------------- = 162.56cm
1 1 in
Cancel the term inches and multiply 64 by 2.54cm
PLEASE HELP ASAP I WOULD RLY APPRECIATE IT
Answer:
The measurement of 7 is equal to 47 because it is congruent to 5.
The equation that could be is is: (2x-5) + 47 = 180
x is equal to 69.
Step-by-step explanation:
69 times 2 = 138 -5 = 133
133 + 47 = 180
100 POINTS!!!
What is the meaning of the initial value in this table?
A. How much he purchased the computer for.
B. How much he spent.
C. How much it goes down.
D. How much he pays per month
EXPLAIN
Answer:
A
Step-by-step explanation:
Since he is paying the computer off, the first value is considered the initial value, and in this case it is the amount he purchased the computer for.
Peiling and John saved the same amount of money. After Peiling lent $28 to John, John had 5 times as much money as Peiling. How much did John have in the end?
Answer:
140$
Step-by-step explanation:
so if peilling lent 28$ and then john has 5x as much that means john had 4x as much before getting the 28$ which would mean that john had 112$ dollars so now with that knowledge just add the 28$ to get 140$ or just do 5 x 28 to get 140
Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?
Answer:
Yes, AN time E equal to ABN if A=1, B=5, E=3 & N=0.
Step-by-step explanation:
Given;
Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?
A = 1
B = 5
E = 3
N = 0
Note;
0 multiply everything is 0.
Solve;
So If A=1, B=5, E = 3, N=0
AN times E = (1 x 0) x 3 = 0
ABN = (1 x 5 x 0) = 0
Therefore, the question would be true.
~Learn with Lenvy~
The sum of two numbers is 87. The difference of the same to numbers is negative 111. Find the numbers.
Answer:
99 and - 12
Step-by-step explanation:
let x and y be the 2 numbers, then
x + y = 87 → (1)
x - y = - 111 → (2)
Adding the 2 equations term by term eliminates the y- term
2x = - 24 ( divide both sides by 2 )
x = - 12
Substitute x = - 12 into (1)
- 12 + y = 87 ( add 12 to both sides )
y = 99
The 2 numbers are 99 and - 12
ASAP!!!!!!!!! PLS!!!!!
Answer:
[tex]\huge\boxed{\text{6 by 10 inches}}[/tex]
Step-by-step explanation:
In order to solve for this, we can make two equations, where a is the length of the first side and b is the length of the second side.
[tex]ab=60[/tex] (Area)[tex]2a+2b=32[/tex] (Perimeter)We can now solve this systems of equations by using substitution.
Let's change the equation [tex]ab=60[/tex] into the form [tex]a= mb+c[/tex].
We can divide both sides by b.
[tex]a = \frac{60}{b}[/tex]
We can now plug [tex]\frac{60}{b}[/tex] in as a into [tex]2a+2b=32[/tex].
[tex]2(\frac{60}{b}) + 2b = 32[/tex]
Let's simplify this equation:
[tex]\frac{120}{b} + 2b = 32[/tex] [tex]2b^2 + 120 = 32b[/tex] [tex]2b^2 - 32b + 120 = 0[/tex] [tex]b^2 - 16b + 60 = 0[/tex] [tex]-10 \cdot -6 = 60\\-10 + -6 = -16[/tex] (Quadratic factoring, [tex]x_1 \cdot x_2=c, x_1 + x_2 = b[/tex]) [tex](b-10)(b+6)[/tex] [tex]b = 10\ \text{or}\ 6[/tex]Now, since we have both roots of this quadratic, we know that the two sides will be 10 and 6 inches long.
Hope this helped!
A rectangle has a height 3 times the length of its base. If the base increases by 3 cm and the height by 5 cm then the area is 319 2. What are the dimensions of the rectangle?
Answer:
The length of a rectangle is 3 times the width.The area is 75 cm^2.
3. Henry's banks said they will putin 20% interest annually if he keeps at least $5,000 in his savings account. How much money. in interest will the bank put in Henry's
All changes saved
account?
STO
$10,000
O $100
$1,000
Hey there!
Option answer: $1,000
Calculate the percentage
=> 5000 × 20/100
=> 5000/1 × 20/100
=> 50/1 × 20/1
=> 1000/1
=> 1000
Therefore, 20% of $5000 is $1000
Math help!
Imagine a 10 by 10 by 10 cube made up of 1000 unit cubes and floating in space. What is
the greatest number of unit cubes that can be seen by an observer at any moment in time?
if I had 9 bucks to spend on the book fair, how much money would I have if I bought 2 posters, a comic, and an Invisible ink pen? Would I have enough?
__________________
l poster: $2 l
l Comic: $3 l
l Invisible ink pen: $3 l
l_________________l
help please asap so much appreciated
Charmaine watered 3 plants.
Every plant got
gallons of water.
How much water did she use in all?
Write your answer in simplest form.
A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y=−0.114x+1.658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0.964.
Answer:
If you translate that in romanian i will do it.
The velocity of a major river at various depths has no relation.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We are given that;
Equation y=−0.114x+1.658
Now,
In this case, the equation y = -0.114x + 1.658 represents a linear relationship between x (depth) and y (velocity) of the river. The correlation coefficient is 0.964, which means there is a very strong positive correlation between these two variables. This means that as depth increases, velocity also tends to increase proportionally.
| x | y |
| 0 | 1.658 |
| 5 | 1.098 |
|10 | 0.538 |
|15 |-0.022 |
The calculator gives us a p-value of approximately 0.0002, which is much smaller than 0.05. This means that we can reject the null hypothesis that there is no correlation between depth and velocity of the river and conclude that there is a statistically significant positive correlation between them.
Therefore, by the given equation there will be no relation.
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does anyone know the answer to this? i need it asap