There are five basic equations which completely describe the cylinder with given radius r and height h:
Volume of a cylinder: V = π * r² * h,Base surface area of a cylinder: A_b = 2 * π * r²,Lateral surface area of a cylinder: A_l = 2 * π * r * h,Total surface area of a cylinder: A = A_b + A_l,Longest diagonal of a cylinder: d² = 4 * r² + h².Sometimes, however, we have a different set of parameters. With this height of a cylinder calculator you can now quickly use ten various height of a cylinder formulas which can be derived directly from the above equations:
Given radius and volume: h = V / (π * r²),Given radius and lateral area: h = A_l / (2 * π * r),Given radius and total area: h = (A - 2 * π * r²) / (2 * π * r),Given radius and longest diagonal: h = √(d² - 4 * r²),Given volume and base area: h = 2 * V / A_b,Given volume and lateral area: h = A_l² / (4 * π * V),Given base area and lateral area: h = √(A_l² / (2 * π * A_b)),Given base area and total area: h = (A - A_b) / √(2 * A_b * π),Given base area and diagonal: h = √(d² - 2 * A_b / π),Given lateral area and total area: h = A_l / √(2 * π * (A - A_l)).I need help NOW asp please!!!!
Answer:
Option A, [tex]385.0\ ft^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the base
[tex]A = l * w[/tex]
[tex]A = 11\ ft * 11\ ft[/tex]
[tex]A = 121\ ft^2[/tex]
Step 2: Determine the area of the triangles
[tex]A = \frac{h * b}{2}[/tex]
[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]
[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]
[tex]A = \frac{66\ ft^2}{2}[/tex]
[tex]A = 33\ ft^2[/tex]
There are two of these triangles per side which means that there are 8 of these triangles in total.
[tex]33\ ft^2 * 8[/tex]
[tex]264\ ft^2[/tex]
Step 3: Determine the surface area
[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]
[tex]SA = 385\ ft^2[/tex]
Answer: Option A, [tex]385.0\ ft^2[/tex]
√x^2+6x+9 if x<3
Pls help cant solve it
Answer:
F(x) < 6
Step-by-step explanation:
[tex]\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}[/tex]
This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6
Use the drop-down menus to correctly relate each pair of number using <>=
0.62 _0.062
0.62 _ 0.620
0.725 _0.75
0.65 _0.091
What's are all the answers? Tap on the image.
Answer:
I think B, C, and F are the answers.
Step-by-step explanation:
a cylindrical water bottle is 15 centimeters tall. it can hold 753.6 of water. What is the radius of water the waterbottle? use 3.14 for
Answer:
The answer is 4cm.
Step-by-step explanation:
Given:
Height= 15cm
The volume of the Cylindrical bottle= 753.6
They have said to use π= 3.14
We are supposed to find r.
-------------------------------------------------------------
Volume of cylinder= πr²h
now substitute teh values given in the formula..we will get:
753.6 = 3.14× r²× 15
After u solve it , you will get
r²= 16
∴r = √16= 4cm
So, the radius of the bottle is 4cm
Hope it helps!!
Last week, Caden's Ice Creamery sold 14 sundaes with nuts and 36 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
14:36
Step-by-step explanation:
find the range Q1 and Q3 for the set of values, 36,36,48,65,75,82,92,101
A scale drawing of Jack's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm. If each 1 cm on the scale drawing equals 5 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet
Answer:
(b) Length = 30 feet, width = 20 feet
Step-by-step explanation:
The scale factor is applied to the drawing dimensions to find the actual dimensions.
__
length = (6 cm) × (5 ft)/(1 cm) = 30 ft
width = (4 cm) × (5 ft)/(1 cm) = 20 ft
_____
Additional comment
You can also write the scale factor as part of a proportion:
5 ft : 1 cm :: x ft : 6 cm
Multiplying by 6 cm gives
(5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above
What’s 56,105 minus 15 percent
Answer:
833
Step-by-step explanation:
First find the 15% of 56,105;
[tex]\frac{15}{100}[/tex] * 56,105 = x
0.15 * 56,105 = x
882 = x
Now subtract 15% of 56,105 from 56,105;
15% of 56,105 = 882
now;
56,105 - 882 = 833
Hope this helps!
Write the slope intersect form of the equation.
Through (8,1) perpendicular to y =1/2x +2
Answer:
Step-by-step explanation:
y= -(1/2)x - 5
⚠️‼️ HELP PLEASE GIVING POINTS !!
Answer:
m∠QPR = 25°.
Step-by-step explanation:
If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°
Avery and Megan are cutting paper to make origami stars. They need 1/5 of a sheet of paper in order to make each star. If they have 6 sheets of paper, how many stars can they make? Explain your work and draw a picture to support your reasoning.
Answer:
30 stars
Step-by-step explanation:
There are 5 1/5ths in 1. So 5x6(sheets of paper) is 30. For the picture part you could draw 6 sheets of paper and divide each into five parts.
Hope this helps! :)
Solve the system of equations. I need the answer today
x=2-y
x-2y-11=0
Answer:
(5, -3)
Step-by-step explanation:
if x=2-y then 2-y-2y-11=0
-3y-9=0
-3y=9
y= -3
x= 2+3=5
pls help.
im rlly struggling
question: what are the coordinates of the vertices of the image?
Answer:
See below
Step-by-step explanation:
(x,y ) will transform to ( y, -x)
so all of the coordinates will be (clockwise from top left)
5,-2 5,-4 4,-4 4,-3 2,-3 2,- 2
Find the derivative
g(t)=7t4 –4t3 +6t2 +9t–19
Answer:
28t³ - 12t² + 12t + 1
Step-by-step explanation:
Derivative Rule
xⁿ = nxⁿ⁻¹Solving
g(t) = 7t⁴ - 4t³ + 6t² + 9t - 19g'(t) = 4(7t)⁴⁻¹ - 3(4t)³⁻¹ + 2(6t)²⁻¹ + 1(9t)¹⁻¹ - 0g'(t) = 28t³ - 12t² + 12t + 1Find the missing length pleaseeee!!!
Step-by-step explanation:
9.
[tex] \frac{15}{x} = \frac{10}{32} \\ x = 48[/tex]
So QR = 48
10.
[tex]since \: \: \frac{9}{13.5} = \frac{12}{18} \: \: we \: have \\ \\ \frac{12}{18} = \frac{10}{x} \\ x = 15[/tex]
So QP is 15
The first four terms of a sequence are shown.
−1/2, −3/10, −9/50, −27/250, ...
What is the formula for the sequence?
Answer: -1.088
Step-by-step explanation:
I’m sorry if it’s wrong
Can someone please give me the (Answers) to this? ... please ...
I need help….
Step-by-step explanation:
the law of sine
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and associated angles are always opposite to each other.
and the sum of all angles in a triangle are always 180°.
sin(90) = 1.
4.
there are multiple solutions, as the direction they are going has no relevance to their position to each other right now.
and the angles of depression can be forward or backwards of the plane.
the larger the angle of depression, the closer the ship is.
for the closer ship we get
height/sin(35) = ground distance / sin(180-90-35)
265/sin(35) = ground distance / sin(55)
ground distance (plane to closer ship) =
= 265×sin(55)/sin(35) = 378.4592218... m
for the farther ship we get
height/sin(25) = ground distance / sin(180-90-25)
265/sin(25) = ground distance / sin(65)
ground distance (plane to closer ship) =
= 265×sin(65)/sin(25) = 568.2943339... m
the distance of both ships is
568.2943339... - 378.4592218... = 189.8351121... m
now, this distance applies to the case, where both ships are on the same side of the plane.
if they are on different sides of the plane, then we need to add their individual distances from the plane to get the distance of both ships from each other :
568.2943339... + 378.4592218... = 946.7535557... m
5.
another right-angled triangle.
the string is the Hypotenuse (baseline).
the height and the ground distance are the legs.
so, we get
100/sin(90) = height/sin(52) = 100
= ground distance / sin(180-90-52)
height = 100×sin(52) = 78.80107536... m
ground distance = 100×sin(38) = 61.56614753... m
John and Brian each live 2 kilometers from their school. John walks to school and Brian rides his bicycle. The graphs show the distance each boy travels to school.
John and Brian travel at the same speed between minutes ___ and ___
Answer:
Between minutes 6 and 10
Step-by-step explanation:
Look at the slope of the line. It appears to be the same between both lines between minutes 6 and 10
Answer:
they travel at the same speed between minutes 6 and 10
Milk Glass A has a diameter of 3.5 inches and a height of 4 inches . Glass B has a radious of 1.5 inches and a height of 5 inches. Which glass can hold more milk
Answer:
Milk Glass A can hold more milk.
Step-by-step explanation:
This problem mostly relies on the diameter of the milk glass.
To solve the problem, we'll find the volume of each glass as though it were a cylinder.
First, we start with the area of the base of each cylinder.
Using the formula [tex]\pi r^{2}[/tex], we can find the area of each base.
Note that r represents radius, which is half of the diameter, d.
The area of the base on Milk Glass A can be found with: [tex]\pi 1.75^2[/tex] which equals 9.62 inches squared.
The area of the base on Milk Glass B can be found with: [tex]\pi 0.75^2[/tex] which equals 1.77 inches squared.
Now that we have the area of each base, we just multiple the area by the height to get the full volume.
The volume of Milk Glass A can be found by multiplying [tex]9.62*4[/tex] which equals 38.48 cubic inches.
The volume of Milk Glass B can be found by multiplying [tex]1.77 *5[/tex] which equals 8.85 cubic inches.
Therefore, the larger answer of 38.48 cubic inches means Milk Glass A can hold more milk.
5. What's true of the distribution of any variable, if your model is the mean of that variable? A The distribution of the variable is more narrow than the distribution of its residual. The distribution of the variable is more narrow than the distribution of its residual. B The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on. The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on. C The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable. The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable. D The distribution of the variable is the same shape as the distribution of its residual
The true statement about the distribution of any variable model around the mean is (D) The distribution of the variable is the same shape as the distribution of its residual
The true statement about the distributionFrom the question, we understand that the distribution of the model is based on its mean or average value.
The above means that the upper and the lower deviations are balanced.
Hence, the true statement about the distribution of any variable model around the mean is (D)
Read more about distribution at:
https://brainly.com/question/15713806
Is the following a statistical question?
How much do new cars cost?
yes
no
Answer:
i think it is "yes"
Step-by-step explanation:
hope this helps you!
Answer:
The answer is yes.
Step-by-step explanation:
Statistical questions mean there are different responses. and not just one simple answer.
HELPPP PLSSSSSSSSSSSSSSSS!!!!!!
Answer:
£6633.04
Step-by-step explanation:
Compound interest is worked out by using decimal multipliers on a calculator basically,
so,
6000 x 1.034 (because 3.4% = 0.034)
but you want it for three years so you would do
6000 x 1.034 x 1.034 x 1.034
hope that helped
what is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted
in how many combinations can acommittee consisting of 4 men and 3 women be chosen from 8 men and 6 women
What does ƒ(x) = 3x − 1, for ƒ(-2) mean?
A. It means to output a -2 into the function to find the input.
B. It means to subtract 2 from the function.
C. It means to input a -2 into the function to find the output.
D. None of these choices are correct.
Answer:
C. It means to input a -2 into the function to find the output.
Step-by-step explanation:
f(x) means to the function of x. The question is asking you to input -2 for x and find the answer.
A garden is in the shape of an isosceles right triangle. The length of the hypotenuse is 24 feet. What is the area of the triangle?
Answer:
Area = 144 ft^2
Step-by-step explanation:
Remark
Use the Pythagorean theorem to find the length of the legs. Then multiply them together and divide by 2.
Equations
a^2 + a^2 = c^2
Area = (1/2) * a^2
Givens
c = 24
Solution
Remember that an isosceles triangle has 2 equal sides. Both legs of the triangle are equal to a.
a^2 + a^2 = c^2 Combine
2a^2 = 24^2 Expand
2a^2 = 576 Divide by 2
2a^2/2= 576/2
a^2 = 288 You might just as well leave this. go to area
Area = 1/2 (288)
Answer: Area = 144 ft^2
The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are _____________.
Answer:
The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.
Step-by-step explanation:
A local dairy has three machines to fill half-gallon milk
cartons. The machines can fill the daily quota in 5
hours, 6 hours, and 7.5 hours, respectively. Find how
long it takes to fill the daily quota if all three machines
are running.
Answer:
Step-by-step explanation:
let's assume the quota is 1
1=the time each machine takes to fill the quota thus;
1=5hrs what about 1hr=1/5
1=6hrs what about 1hr =1/6
1=7.5hr what about 1hr =2/15
add: 1/5+1/6+2/15=1/2 reciprocate
=2hrs
If a polynomial function f(x) has the zeros -3, 1, 2 i and -2i, write a
polynomial function in standard form. SHOW ALL WORK
Answer:1
1
Step-by-step explanation:1
What is the solution to the system of equations graphed below? A. (0, 2) B. (–2, 1) C. (0, –3) D. (–4, 0)
Answer:
B
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the lines intersect at (- 2, 1 )
then solution to system is (- 2, 1 )