Step-by-step explanation:
Given that,
The height of the cylinder, h = 3x-4
The radius of the cylinder, r = 3x+2
The volume of the cylinder is :
[tex]V=\pi r^2 h[/tex]
The surface area of the cylinder is :
[tex]A=2\pi r(r+h)[/tex]
The ratio of the volume of the cylinder to the surface area of the cylinder is :
[tex]\dfrac{V}{A}=\dfrac{\pi r^2h}{2\pi r(r+h)}\\\\\dfrac{V}{A}=\dfrac{rh}{2(r+h)}[/tex]
Put all the values,
[tex]\dfrac{V}{A}=\dfrac{(3x+2)(3x-4)}{2(3x+2+3x-4)}\\\\\dfrac{V}{A}=\dfrac{(3x+2)(3x-4)}{2(6x-2)}[/tex]
Hence, this is the required solution.
What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6
no solution
infinitely many solutions
(–16, 6)
(–16, –2)
Answer:
{y = x/4 + 2, 3 y = -(3 x)/4 - 6}
Step-by-step explanation:
Gustavo ha forrado una pared de 12,5 m cuadrados con 50 paneles cuadrados iguales de madera ¿ Cuantos decímetros cuadrados mide cada papel?
Answer:
25 dm²
Step-by-step explanation:
La superficie de nuestra pared tiene 12.5 m²
Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel
12.5 m² /50 = 0.25 m²
Sabemos que la superficie de un cuadrado se calcula como l²
Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²
Esa es la medida de cada papel.
Si calculamos la medida de cada lado será:
√ (25 dm²) = 5 dm
En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie
Si convertimos a m² = 0.25 m²
0.25 m² es la medida que cubre 1 panel de papel
para cubrir 12.5 m² necesitariamos (12.5 . 1) /0.25 = 50 paneles.
llyssa and Mark conducted an experiment with two identical spinners that each contain 4 colors. They spun both spinners and recorded the outcomes. They repeated the experlment 50 times. The results are shown in the table. Colors Frequency 5 both red 1 red and 1 green 6 1 red and 1 blue 4 1 red and I yellow 5 both green 6 5 I green and 1 blue 1 green and I yellow 5 both blue 5 4 1 blue and 1 yellow both yellow 5 Based on the data, what is the probability that the next outcome will be 1 red and 1 blue? OA. 25 O c. 1 10 OB. 23 OD.
Answer:
Step-by-step explanation:
Answer is a 2/25
Write the tangent ratios for Y and Z.
help asap
Answer:
Step-by-step explanation:
Answer d) is the correct one.
opposite side
tan Z is defined as ----------------------- and this is 5/3.
adjacent side
PLS HELP ASAP!!
50 POINTS!
Answer:
135Step-by-step explanation:
3³· (12 - 2) ÷ 2 = 3³ · 10 ÷ 2 = 27 · 10 ÷ 2 = 270 ÷ 2 = 135For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
The surface area of a cylinder is 520 ft.² The area of one of the bases is 254.34 ft.² find the height of the cylinder
Answer:
The height is 0.2003ft
Step-by-step explanation:
Given
[tex]Surface\ Area = 520[/tex]
[tex]Base\ Area = 254.34[/tex]
Required
The height of the cylinder
The base area of the cylinder is:
[tex]Base\ Area = \pi r^2[/tex]
This gives
[tex]254.34 = 3.14 * r^2[/tex]
Divide by 3.14
[tex]81 = r^2[/tex]
Take square root of both sides
[tex]r = \sqrt{81[/tex]
[tex]r = 9[/tex]
The surface area of a cylinder is:
[tex]Surface\ Area = 2\pi rh + 2\pi r^2[/tex]
This gives
[tex]520 = 2*3.14* 9h + 2*3.14* 9^2[/tex]
[tex]520 = 56.52h + 508.68[/tex]
Collect like terms
[tex]56.52h = 520 -508.68[/tex]
[tex]56.52h = 11.32[/tex]
Solve for h
[tex]h = 11.32/56.52[/tex]
[tex]h = 0.2003ft[/tex]
The length of a rectangle is 8feet less than the width. The perimeter is 64 feet. Find the length and the width
Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
What iS the slope of the line shown on the graph?
Answer:
- 4/5
Step-by-step explanation:
since the line is going down, it is negative
use rise / run for this
it goes 4 units down (rise) and 5 units to the right (run)
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: [tex]y - y_{1} = m(x - x_{1})[/tex]
[tex](x_{1}, y_{1})[/tex] = (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
It’s about solving systems of equations...
Answer:
(-1,-1)
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
Given that the function graphed is f(x), what is f(-2)?
Answer:
-4
Step-by-step explanation:
f(-2) Means the y value when x is -2. Just find x=-2 and trace it until it intersects with the blue line. Then get the y-value of the point
3. Which expression has a value of 6
Answer:
A
Step-by-step explanation:
18/[tex]\left[(12*2)-(7*3)][/tex]
18/(24-21)
18/3
6
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches .
1. Without calculating, predict which frame has a shorter width
(A.) Frame A
(B.) Frame B
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7
the figure is transformed as shown in the diagram describe the transformation. NO SCAMS OR LINKS PLEASE!!!! THANKS FOR THE HELP!
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
which set of parametric equations represents the graph of the function shown?
The parametric set of equations for the graph function will be x = 4cos t and y = 7sin t. Then the correct option is A.
What is a parametric equation?The number of the equations which depend on some parametric variable is known as parametric equation.
The graph is given below.
We know that cartesian coordinate to polar coordinate is given as
x = p cos t and y = q sin t
We have p and q will be 4 and 7 respectively. Then we have
x = 4 cos t and y = 7 sin t
Thus, the correct option is A.
More about the parametric equation link is given below.
https://brainly.com/question/9056657
#SPJ2
THIS IS AREA OF CIRCLES PLS HELPP
Answer:
3 ft
Step-by-step explanation:
You are given the area, and the area formula, and you can set them equal to each other:
pi r^2 = 9 pi
Divide by pi on both sides:
r^2 = 9
Find the square root of both sides to get:
r = 3 feet
Answer:
r = 3 ft.
Step-by-step explanation:
In order to solve this problem, you need to substitute the information given into the equation and solve for r. The problem tells us that the area of the circle is 9π ft². We can use this value and substitute it into the equation.
9π = πr²
⇒ 9 = r²
⇒ 3 = r
Therefore, the radius of the circle is 3 ft.
If you were trying to prove that a shape had all four sides congruent, which formula
would you be using?
A. Slope Formula
B. Distance Formula
C. Quadratic Formula
D. Midpoint Formula
The surface area of a cude can be found'
with the formula A = 6s?. Ifs
= 9 cm,
what is the surface area of the cube?
Given : Surface area of a cube can be found with the formula :
⊕ A = 6s²
Given : s = 9 cm
⇒ Surface area of the cube = 6(9 cm)²
⇒ Surface area of the cube = (6 × 81) cm²
⇒ Surface area of the cube = 486 cm²
Answer : 486 cm squared
There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these assignments be made?
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
Which of the following is a dilation?
Answer:
A) image is being doubled in size in A
Step-by-step explanation:
B and C are rotations
D is a translation
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation: