Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.
A cylinder with the radius of the base labeled z and the height of the cylinder labeled 15 meters. The volume is equal to 1696.5 cubic meters.
Answers
Answer:
The missing dimension, radius = 6.00 m
Step-by-step explanation:
We are given the following things:
Height of cylinder, [tex]h[/tex] = 15 m
Radius of cylinder, [tex]r = z[/tex] m (Labelled as [tex]z[/tex])
Volume of cylinder, [tex]V = 1696.5\ m^{3}[/tex]
Please refer to the image attached for the dimensions of cylinder as given.
We know that the volume of a cylinder can be given as:
[tex]V = \pi r^{2} h[/tex]
Where [tex]r[/tex] is the radius of cylinder
[tex]h[/tex] is the height of cylinder
Putting the values of [tex]V, r \text{ and } h[/tex]:
[tex]1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m[/tex]
Hence, The missing dimension, radius = 6.00 m
Related Questions
- Ms. McNeil buys 2.4 gallons of gasoline. The total cost is $7.56. The
equation 2.4p = 7.56 can be used to find the price p in dollars of
one gallon of gasoline. What is the price of one gallon of gasoline?
Answers
Answer:
The price of one gallon of gasoline is $3.15
Step-by-step explanation:
If the lady buys 2.4 gallons of gasoline for a total of $7.56, then as the problem suggests, one can find the unknown price of gasoline per gallon (p) by solving the equation for the unknown "p":
2.4 p = 7.56
then divide both sides by 2.4 to isolate the unknown "" on one side of the equal sign:
p = 7.56/2.4
p = $3.15
so this is the price per gallon of gasoline.
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is ____________. (continuous, discrete)
The independent variable is the ___________. (amount remaining on the card, numbers of months after the first year)
The dependent variable is the _____________. (amount remaining on the card, numbers of months after the first year)
Answers
Answer:
The relationship between the number of months after the first year and the amount remaining on the card is discrete.
The independent variable is the
number of months after the first year.
The dependent variable is the
amount remaining on the card.
The answers are; The relationship between the number of months after the first year and the amount remaining on the card is discrete.
The independent variable is the number of months after the first year.
The dependent variable is the amount remaining on the card.
What is dependent and independent variables?The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Given that, A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse, which meant that, when the number of months after the first year increases, the amount on the remaining car decreases, linearly.
The Independent variable is the numbers of months after the first year.
The Dependent variable is the amount on the remaining card, because this amount depends on the time it has passed since the first year, which is our independent variable.
If we call "Y" our dependent variables and "X" our Independent variable, This relationship can be written as Y= 25 - 2.5x.
If no months had passed since the first year, then x= 0 and the amount in the card equals $25, while if one month has passed since the first year, x= 1 and y= 22.5 (The amount in the card in this case is $22.5.)
Hence, The answers are a) discrete b) numbers of months after the first year c) amount remaining on the card
For more references on dependent and independent variables, click;
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What is the approximate percent decrease from 1,865 to 1,240?
Answers
Answer:
It is approximately 33.5%
Answer:
A
Step-by-step explanation:
33.5%
Can someone answer this fast
Answers
Answer:
C.
Step-by-step explanation:
Well the measure of the angle between the two angles that you have been given is 180 - 45 - 75 which is 60°
75° + 60° = 135°
The arc that the central angle intercepts is equal to it.
Arc VX is 135°
The space capsule is on its way back to earth after deploying its first two parachutes falls at a speed of 100 mph what is the space capsules velocity?
Answers
Answer:
Step-by-step explanation:
Velocity is the speed of an object in a definite direction. In mechanics, velocity is a vector quantity. It requires magnitude and direction to make any sense. Velocities are expressed per unit time.
The SI unit of time is the second.
Now, suppose we need the velocity in feet per second. A simple calculation will help:
feet per second = miles per hour × 1.466667 [ in other words, one mile per hour equals 1.466667 feet per second]
For a space capsule moving at 80 miles per hour, the velocity is given by
= 100 × 1.466667
= 146.67 ft/s [feet per second]
3) How many cubic feet of water can the
following in-ground swimming pool hold?
6 ft
8 ft
/8 ft
6 ft
6 ft
8 ft
144f
Answers
9514 1404 393
Answer:
(d) 528 ft³
Step-by-step explanation:
The shape is that of a trapezoidal prism. The front face is a trapezoid with bases 8 ft and 14 ft, and height 6 ft. Its area is ...
A = (1/2)(b1 +b2)h = (1/2)(8 +14)(6) = 66 . . . . square feet
Then the volume is given by ...
V = Bh
where B is the area of the (trapezoidal) base, and h is the height of the prism (8 ft). Filling in the values, we find ...
V = (66 ft²)(8 ft) = 528 ft³
The pool can hold 528 ft³ of water.
All of the following expressions are equivalent except _____.
1.)x - 7
2.)7 + (- x)
3.)7 - x
4.)- x + 7
Answers
Which of the following equations has a solution of -50?
1.) X/2= -25
2.)-2r = 50
3.)b - (20) = -30
4.)n + (-16) = 65
Answers
Answer:
1
Step-by-step explanation:
when substituting the numbers back In #1 was the only one that -50 worked in
Answer:
1.) X/2= -25
Step-by-step explanation:
The image of (-2, 6) after a dilation with respect to the origin is (-10, 30). What is the
scale factor of the dilation?
Answers
-2*5 is=-10
6*5=30
En un cajón hay 10 pares de calcetines negros y 6 pares de calcetines blancos. Si se extraen 2 pares de calcetines aleatoriamente, que probabilidad hay
Answers
Answer:
Formas de elegir cualquier 2 calcetines de 24 calcetines a 24C2
Formas de elegir 2 calcetines NEGROS de 12 calcetines NEGROS 12C2
Probabilidad de recoger 2 calcetines NEGROS (P1) 12C2 / 24C2 a 66/276
Probabilidad de recoger 2 calcetines BLANCOS (P2) 12C2 / 24C2 a 66/276
Probabilidad de elegir los 2 calcetines del mismo color: P1+P2 a 66/276 + 66/276 a 11/23.
esto le dará una pista
Step-by-step explanation:
I don’t understand what they saying I’m struggling on this problem
Answers
Answer:
(A)
Step-by-step explanation:
1/2=x/6
2x=6
x=3
THerefore, (A)
range and interquartile question
15 POINTS + BRAINLIEST
Answers
Answer:
Range = 16
Interquartile range 6
Step-by-step explanation:
Range: largest number minus smallest number
Range = 18 - 2 = 16
Interquartile range : right line on the box minus left line on the box
(75% point - 25% point) = 12 - 6 = 6
Answer:
Range = 16
Interquartile range 6
Step-by-step explanation:
Range: largest number minus smallest number
Range = 18 - 2 = 16
Interquartile range : right line on the box minus left line on the box
(75% point - 25% point) = 12 - 6 = 6!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Determine between which consecutive integers the real zeros of f(x) = x^3 - 2 are located.
a. between 1&2
c. between 0&1
b. between -1&0
d. between -2&-1
Answers
Answer:
Therefore the zeros of this function are between 1 and 2. So the correct answer is "a".
Step-by-step explanation:
In order to find the zeros of a function we need to find at which values for "x" make f(x) equal to zero. Therefore we have:
[tex]f(x) = x^3 - 2 \\0 = x^3 - 2\\x^3 - 2 = 0\\x^3 = 2\\x = \sqrt[3]{2} = 1.2599[/tex]
Therefore the zeros of this function are between 1 and 2. So the correct answer is "a".
solve y=x+4
y=3x−1 to get the solution
Answers
Answer:
6
Step-by-step explanation:
x = 2 y = 6 Explanation: y = 3 x (1) y = x + 4 (2) Subtracting (1) - (2): 0 = 2 x − 4 2 x = 4 x = 4 2 = 2 y = 3 × 2 = 6
Answer:
x = 2.5
y = 6.5
Step-by-step explanation:
You can solve this by setting the two equations equal to each other, like so:
x + 4 = 3x - 1
Subtract x from both sides:
x + 4 = 3x - 1
-x - x
__________
4 = 2x - 1
Add 1 to both sides:
4 = 2x - 1
+1 + 1
_________
5 = 2x
Divide by 2:
2.5 = x
Plug in 2.5 for x into the equation:
y = x + 4
y = 2.5 + 4
y = 6.5
You want to buy DVDs and are searching for the best price. You found two stores having sales on DVDS. Which is the one that offers the best percentage off? Then explain your reasoning.
Store 1 - Buy 2 for the price of one!
Store 2 - Buy 3 for the price of two!
Answers
Answer:
Store 1 Has a better deal as your paying 1.50 less which is 50 percent off
Step-by-step explanation:
Lets say a DVD costs 1.50
so if you bought 2 for the price of one it would be 1.50
3 for the price of 2 would be 3 dollars.
If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars
3 CDS for the price of 3 would be 4.50
The Amount of money depends on the cost of 1 CD.
Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.
sorry if this was confusing^^
EF is a median of trapezoid ABCD. The length of AB is 12, and the length of CD is 18. The length of BF is 4. What is the length of FC?
Answers
Answer:
Step-by-step explanation:
The diagram representing the trapezoid is shown in the attached photo. The median EF is a line segment that is half way between the 2 bases. The length of the median is the average of the two bases. Therefore,
EF = (12 + 18)/2 = 15
Two similar trapezoids are formed. They are ABFE and EFCD
By comparing both trapezoids, it means that
4/15 = FC/18
Cross multiplying, it becomes
4 × 18 = 15FC
72 = 15FC
FC = 72/15
FC = 4.8
PLEASE HELP ME IM CRYING :(
Draw a picture for each mixed number.
Use fraction circl es or grid paper for each. 3 2/3 hours
Answers
Answer:
Step-by-step explanation:
im doing fraction circles
3 2/3
1 5/6
1 3/4
pls mark me brainliest
Find the area of the triangle ABC given angle A = 45°, b = 8, and c = V2.
Answers
Answer:
180
Step-by-step explanation:
triangle 1/2 base x height = area 45 x 4 = 180
Given f(x)=x^2, after performing the following transformations: shift upward 74 units and shift 39 units to the right, the new function g(x)=
Answers
Answer:
g(x) = (x -39)^2 +74
Step-by-step explanation:
Given f(x)=x^2, after performing the following transformations: shift upward 74 units and shift 39 units to the right, the new function g(x) = (x -39)^2 +74
What is a transformation?
In mathematics, a transformation is a feature f, typically with a few geometrical underpinnings, that maps a fixed X to itself, i.e. f: X → X.
What are the 4 transformations in maths?
Translation, rotation, reflectiondilation.
Learn more about transformations here https://brainly.com/question/4289712
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If M=(2,5) is the midpoint of AB, and A=(0,-1), then the coordinates of B are _____.
A. (4, 11)
B. (1, 3)
C. (-2, -7)
D. (1, -2)
Answers
Answer:
The point M(Mx, My) is mid-point of AB with A(Ax, Ay) and B(Bx, By).
=> 2*Mx = Ax + Bx => 2*2 = 0 + Bx => Bx = 4
=> 2*My = Ay + By => 2*(5) = -1 + By => By = 11
=> B(4, 11)
=> Option A is correct
Hope this helps!
:)
help me out here! I’ll give brainliest if you give me the correct answer c:
Answers
Explanation -
After leaving his house, Milton drove 25 minutes to take his oldest son to the middle school and then drove 15 minutes to take his two younger daughters to the elementary school. Next, Milton drove 35 minutes to work. If Milton arrived at work at 9:15 a.M., what time did he leave his house?
Answers
Answer:
8 o-clock
Step-by-step explanation:
Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply
Answers
Answer:
h(x) is the NEGATIVE of g(x)
Step-by-step explanation:
Where are the statements? Please share them next time.
h(x) is the NEGATIVE of g(x): h(x) = -x^2 = -g(x)
Which function is graphed below
Y=1/3(3)x
Y=3{1/3}^3
Y=(1/2)^x+2
Answers
Answer:
Graph it in symbolab website
Step-by-step explanation:
Answer:
B. y=3 (1/3) ^x
Step-by-step explanation:
Alculate the amount of heat transferred when 710 grams of water warms from an initial temperature of 4.0 ºC to a final temperature of 25.0 ºC. The specific heat capacity of liquid water is 4.184 J/g ºC. Please express you answer as a number in units of kJ, and be careful about the sign (is the answer a positive or negative number?) since that shows the direction of heat flow.
Answers
Answer:
The Quantity of heat require is [tex]0.062kJ[/tex]
Step-by-step explanation:
This problem bothers on the topic of heat capacity.
Given data
mass of water m= [tex]710 grams[/tex]
converting from grams to kg we have =[tex]\frac{710}{1000} = 0.71kg[/tex]
initial temperature T1= 4°C
final temperature T2= 25°C
heat capacity of water = [tex]4.184 J/g[/tex]
The expression for the quantity of heat required is given has
[tex]Q= mc(T2-T1)[/tex]
substituting our given data we have
[tex]Q= 0.71*4.184*(25-4)\\Q= 2.97*(21)\\Q= 62.38J\\[/tex]
In kilograms we have to divide by [tex]1000[/tex]
[tex]Q= \frac{62.38}{1000} = 0.062kJ[/tex]
Ken used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 yards, what was the total length of the border, rounded to the nearest tenth of a yard? Use 3.14 for ππ.
Answers
Answer:
31.4 yards
Step-by-step explanation:
The circumference of a circle is 2 × 3.14 × 5=31.4 yards
If the two cars are now a straight-line distance of 17 kilometers apart, how far has the northbound car traveled?
Answers
Answer:
Step-by-step explanation:
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.
If there are 13 people in club a and 20 people in club b and 25 students in total, how many people are in both clubs?
Answers
Answer:
2 students are in both clubs
Step-by-step explanation:
x = 1 student (this number may be more than the total because one student can be in 2 clubs)
Club a = 13
Club b = 20
13 + 20 = 27x
Total members of clubs - total number of students = 27x - 25 = 2
2 students are in both clubs
Hope this was useful to you!
Identify the slope using the table below, TYSM
Answers
Answer:
slope=3
Step-by-step explanation:
slope formula = y2-y1/x2-x1
6-3/2-1= 3/1 = 3
What is the missing label
Answers
Answer:9/12
Step-by-step explanation:
Answer:
3/12 or 1/4
Step-by-step explanation: