Answer:
122
Step-by-step explanation:
Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2 . The surface area of cylinder B is 3960cm2 . Calculate the height of cylinder B
Answer:
[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]
[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]
[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]
[tex]9 = \frac{h}{10} [/tex]
h=90
The height of the cylinder B is 30 cm.
Given that:
Both cylinders A and B are similar. Similarity applies proportionate size which means we have
height of cylinder A : radius of cylinder A :: height of cylinder B: radius of cylinder B
or symbolically we have:
[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]
or we can say we have:
[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]
Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]
Thus from the formula of surface area of cylinder , we have below equation for cylinder A:
[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]
Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:
[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]
Thus height of the cylinder B is 30 cm.
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Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2.
Answer:
Points B and C
Step-by-step explanation:
Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...
Point A = -2 ... since it is one position left of -1 which is -2 since each mark is a difference of 1 and to the left is a negative value.Point B = -0.5 ... since half-way between -1 and 0 is half of -1 which is -0.5Point C = 0.5 ...since half-way between 0 and 1 is basically half of 1 which is 0.5Point D = 1.5 ... since half-way between 1 and 2 is exactly that 1.5Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.
Answer:
Sample Response: Change the improper fraction to the mixed number 21
2
. There are two complete wholes and a half left over. Plot 21
2
on the number line halfway between 2 and 3, or Point D.
Step-by-step explanation:
can someone help me with theses 6 problems?
Answer: I can help with number 10, and that answer is 105*
Step-by-step explanation: 10's x is paralell to the known angle, so the answer for x is equal to the known angle.
Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?
$49.73
because you would multiply the length and width of the fence then multiply by the price.
3.4 x 6.5 = 22.1
22.1 x 2.25 = 49.725
but you would round because you are dealing with money
There are 3 blue rings, 4 red rings, and 8 yellow rings. Hint: _:_
(I Need part A, B and C)
Part A: write the ratio of red rings to all rings.
Part B: write the ratio of red rings to blue rings.
Part C: write the simplified ratio of blue rings to all rings.
Answer:
4:15, 4:3, 1:5
Step-by-step explanation:
Part A:
There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.
4:15
Part B:
As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.
4:3
Part C:
There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.
3:15 = 3/3:15/3 = 1:5
Hope this helps.
Show me how to do this one someone help
Answer:
4
Step-by-step explanation:
Answer:
The slope of the line is y = -3x+4.
Givenl ||
т
Il n, find the value of x.
7
m
(3x-4)
n
(6x+13)°
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](6x + 13) + (3x - 4) = 180[/tex]
[tex]9x + 9 = 180[/tex]
Subtract sides 9
[tex]9x + 9 - 9 = 180 - 9[/tex]
[tex]9x = 171[/tex]
Divide sides by 9
[tex] \frac{9}{9} x = \frac{171}{9} \\ [/tex]
[tex]x = 19[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Complete the equation.
X 2 = 2 x 10
Answer:
2√5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
10x2=20
20x2=40
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
what is "six times a number y is less than or equal to 10 written as an inequality"
XY< 10
if you get too confused whether the x is a variable or a sign, use the * .
CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.
Answer:
The cost increases by $8.50 for each person who attends the event.
Step-by-step explanation:
The company charges an initial fee of $45.00
The cost increases by $8.50 for each person who attends the event.
The correct options are B and C
As per the given data:
The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.
By comparing this equation with the slope intercept form y = mx + c
slope(m) = 8.50
We can find out the initial fee charged by the company by substituting
x = 0 {zero people}
y = 8.50(0) + 45.00
y = $45.00
For increase in cost with each person attending the event:
Cost for 2 persons - Cost for 1 person
= 8.50(2) + 45.00 - [8.50(1) + 45.00]
= 8.50(2) - 8.50(1)
= $8.50
This is the slope of the line
Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.
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Ms. Leigh
wants to organize the desks in the study
hall into a square. If she has 64 desks,
how many should be in each row?
Answer:
8 in each row
Step-by-step explanation:
Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answer:
B: A reflection across line m
Step-by-step explanation:
Answer:
A reflection across line m
Step-by-step explanation:
The answer above is correct.
Why is it important to
understand the procedures for working with
different kinds of numbers
-
Answer:
Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction
What is 2/3 as a decimal
Answer:
0.66 or 0.67 rounded
Step-by-step explanation:
2/3=
0.66
Answer:
0.6 or 0.666666666666666666666
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
what is 30=8+4(z-2) step by step?
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?
Answer:
11.29 left
Step-by-step explanation:
30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29
Answer:
He would have $11. 29 left
Step-by-step explanation:
30-5 =25
25. 00-6.50 = 18.50
18. 50-7.21 = 11.29
Is 2x + y = 10 linear ?
Answer:
This is a linear equation in slope-intercept form.
what is the value of x?
Answer:
84°
Step-by-step explanation:
I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.
In one version of trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes.
Select one:
Yes
No
Answer:
No
Step-by-step explanation:
The 4.5 cups of peanuts should be 4
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
Solve for x
3x - 10 = -9x + 14
Answer: X=2
Step-by-step explanation:
3x-10=-9x+14
+9x +9x
12x-10=14
+10 +10
12x=24
24/12=2
So X=2
Answer:
x=2
Step-by-step explanation:
add 10 to both sides
simplify
add 9x to both sides
simplify 3x+9x to 12x
divide both sides by 12
x=2
Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7
Answer:
The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.
So y==7x+3 has the steepest (greatest value) slope
Step-by-step explanation:
The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
The formula for finding the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
The line that will be the steepest must have the largest slope.
Looking at the equation y = 7x +3
Get the slope by comparing to have;
mx = 7x
m = 7
Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
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2. The area A of a rectangle is represented by the formula A = lw where l is the length
and w is the width. The length of the rectangle is 5.
Write an equation that makes it easy to find the width of the rectangle if we know the
area and the length.
Answer:
rearrange the formula A=lw and make the width the subject of the formula
therefore to find width, the formula is w=A/l
Width = Area/Length
What is the Area of Rectangle?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.
Area of rectangle = Length x Breadth(or width)
A = L*W
Given,
Length = L = 5
Width = W
Let Area = A
according to the formula of rectangle,
A = L*W
If Area and length is given,
W = A/L
Width = Area/Length = Area/5
Therefore, the equation is Width = Area/Length
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Triangle ABC is rotated to form triangle MNO. Which of these statements would prove that the two triangles are congruent?
Answer:A
Step-by-step explanation:
The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Earth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.
Answer:
[tex]6.21\times 10^{-5}\ \text{light years}[/tex]
Step-by-step explanation:
The distance light travels in one year is known as a light year.
[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]
The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]
[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]
Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]
Heeeeeeeeelp plsssssssssss
Answer:
c
Step-by-step explanation:
Answer:
There would be 500 pages.
9) Draw a graph of the linear equation y= -2/-5x +3
please answer this question thanks in advance