A cylinder has a volume of 371.776 cubic centimeters. The diameter of the cylinder is 8 cm. What is the height of the cylinder? (Assume = 3.14)
Cylinder volume formula:
V=πr^2h
Substitute given values into the formula
Note: use 3.14 for pi
Diameter is twice the radius, so if diameter is 8 then radius is 4
371.776 = (3.14)(4^2)h
Use h for height because we don't know the height
Okay, so let's try to get the h by itself on the left side of the equation
So begin by getting rid of 3.14 by dividing it by both sides
371.776/3.14 = 118.4
3.14/3.14 = 1 (don't put 1, just remove the 3.14 from the right side)
So now we have:
118.4 = 4^2(h)
Now we can get rid of 4^2
Start by actually squaring it and then divide it from both sides
118.4 = 16(h) (4^2 = 16)
118.4/16 = 7.4
16/16 = 1 (dont put 1, just drop it)
So now we have
7.4 = h
Now we have h by itself! So h = 7.4
let's test it by putting it in the cylinder volume formula
V = πr^2h
371.776 = (3.14)(4^2)(7.4)
371.776 = (3.14)(16)(7.4)
371.776 = 50.24(7.4)
371.776 = 371.776
7.4 is your answer, if you have any questions, feel free to ask
What is the mean of the data set?
17, 24, 26, 13
4
13
20
80
Answer:
20
Step-by-step explanation:
You need to add all four then divide the answer by 4.
Hope this helps.
Answer:
20
Step-by-step explanation:
two consecutive integers whose product is 17
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
Solve this question
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - - 5= ?
-2 1/3 + 5=2 2/3
Answer:
2 2/3
Step-by-step explanation:
The diagram shows a prism.
0.5 m
2 m
0.5 m
side elevation
2 m
2 m
front
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.
Diagrams can be drawn using scale ratios, which can either represent enlargement or compression
The dimensions of the side elevation are given as:
0.5 m, 2 m and 0.5 m
The dimensions of the front elevation are given as:
2 m and 2 m
Using a scale of 2 squares to 1 m, the scaled dimensions become:
Side elevation: 1 square, 4 squares, 1 squareFront elevation: 4 squares and 4 squaresSee attachment for illustration of the scaled measurement
Read more about scales and dilations at:
https://brainly.com/question/19347268
How many triangles exist with the given angle measures?
Answer: An infinite number
We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like. They'll all have the same shape but different sizes.
Answer:
1
Step-by-step explanation:
Find the missing measure.
Answer:
I think it should be 9km
What is the mean of the following numbers?
15, 10, 7, 12
A
15
B
11
10
D 12
the mean is 11, meaning the answer choice is B right?
Answer:
11
Step-by-step explanation:
plz mark me brainliest
What is true about dumbbells?
A.
They can only be used for a few strength training exercises
B.
They cannot be incorporated into light cardiovascular activities
C.
They can be used in most strength training exercises to target specific muscles
D.
None of the above
Answer:
I think it's C but im not 100% sure
Step-by-step explanation:
Four sets of data are shown in box-and-whisker plots. Which set has the largest 3rd Quartile value? A) A
B) B
C) C
D) D
Answer:B has the largest third quartile
Step-by-step explanation:
A has a third quartile of 70
B has a third quartile of 85
C has a third quartile of 80
D has a third quartile of 75
Darin skateboarded to the west at 8 m/s. In 7 seconds, he slowed down to 3
m/s. What was his acceleration?
O A. -1.4 m/s2 west
B. 1.4 m/s2 west
O C. -0.71 m/s2 west
D. 0.71 m/s2 west
Answer:
C) -0.71m/s²
Step-by-step explanation:
V = V0 + at
V = final veloctiy
V0 = Initial velocity
a = acceleration
t = time
3 = 9 + a7
-5 = a7
[tex]-\frac{5}{7}[/tex] = a
a ≅ -0,71
Answer:
C. -0.71 m/s2 west
Step-by-step explanation:
:
Which is the solution to –7x > 49?
Answer:
x < -7
Step-by-step explanation:
[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]
What’s the missing leg length
Answer:
a = 80
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 60^2 = 100 ^2
a^2 +3600=10000
Subtract 3600 from each side
a^2 = 10000-3600
a^2 =6400
Take the square root of each side
a = sqrt(6400)
a = 80
What value of x will make the given triangles congruent?
Answer:
Step-by-step explanation:
Hgchfxhfxgjchjcghxfhxbj
Answer: 3
Step-by-step explanation: it is all about the sides
5. Find the volume of the cylinder below. Round your answer to the nearest tenth of a cubic yard. *
10 yd and 8 yd
Answer:
67 m2
Step-by-step explanation:
Josh draws a card randomly from a deck, records the suit, returns the card to the deck, and then shuffles the deck. He performs 500 trials. Explain how to use the probability model to predict how many times Josh can expect to draw a card that is a spade.
Answer:
125
Step-by-step explanation:
The probability of getting a spade is 14/56. We multiply 14/56 times 500 that equals 125. I think Josh will get a spade 125 times out of 500.
Carlotta collects stamps. She owns f stamps from France and 15 more than twice this amount of American stamps. Which expression represents the number of American stamps that Carlotta owns?
A: f•/•2-15
B: 2f-15
C: f•/•2+15
D: 2f+15
Answer:
D: 2f+15
Step-by-step explanation:
f is the number of stamps from France that Carlotta owns.
Twice this amount is 2f
Then, 15 more than twice this amount is 2f + 15, and this is the expression that represents the number of American stamps that Carlotta owns
Which sentence is true?
A. - 3 > - 7
B. - 2 < -9
C. 4 < -1
D. - 5 > 0
Answer:
A
Step-by-step explanation:
I believe A. is true for the question
Which is a solution to x + 3 = 2x - 8?
Answer:
11
Step-by-step explanation:
See Work Below
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Solve the following inequality and name two values that are part of the solution
set:
-4 < 2(x + 5)
Answer:
-7 < x
Name 2 values
0 and 10
Any number greater than -7 will work
Step-by-step explanation:
-4 < 2(x + 5)
Divide each side by 2
-4/2 < 2/2(x + 5)
-2 < (x + 5)
Subtract 5 from each side
-2-5 < x+5-5
-7 < x
Name 2 values
0 and 10
Any number greater than -7 will work
Answer:
[tex] - 7 < x[/tex]
Step-by-step explanation:
[tex] - 4 < 2(x + 5) \\ - 4 <2 x + 10 \\ - 4 - 10 < 2x \\ - 14 < 2x \\ \frac{ - 14}{2} < \frac{2x}{2} \\ - 7 < x[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what does this net represent?
Answer: triangular pyramid
Step-by-step explanation: The net shown here is composed of 3 triangular faces and 1 triangular base. The triangular faces tell us that the figure is a pyramid and the triangular base tells us that it's a triangular pyramid. You can always check your answer by tracing the net, cutting it out, and folding it to see what kind of a figure is formed.
NEED HELP WITH THIS ASAP
Answer:
D; y= 2.52x
Step-by-step explanation:
You half $5.04 (the cost of two lbs of cranberries) and get $2.52 then multiply by x (the lbs.) equals y the cost of all the lbs. of cranberries.
Therefore getting the equation of y= 2.52x
Answer: y=2.52x
Step-by-step explanation:
if you take any of the statements you can calculate it.
Let "x" be pounds, and "y" the total cost of x pounds.
2x=5.04
Divide by 2
x=5.04/2
x=2.52
help me please!!!!!!!
Answer:
35 x 10^7
Step-by-step explanation:
[tex]5 * (7 \times {10}^{7} \\ 35 \times {10}^{7} [/tex]
Answer:
3.5*10^8
Please look at the photo that’s the answer.
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
solve for x 3x-3>x+7
Answer:
x>5
Step-by-step explanation:
Suppose f(x) =
[tex] {x}^{2} [/tex]
. What is the graph of g(x)=1/2f(x)?
Answer:
It's D.
Step-by-step explanation:
The 1/2 stretches the graph horizontally of x^2 by a factor 1/2.
Option-D will represent the required graph of the function [tex]g(x) = \frac{1}{2}f(x)[/tex].
What is a function?"A function is defined as a relation between a set of inputs having one output each."
The given function:
[tex]f(x) = x^{2}[/tex]
Therefore the required function is:
[tex]g(x)\\= \frac{1}{2}f(x)\\= \frac{1}{2}x^{2}[/tex]
By putting the values of 'x' as -2, -1, 0, 1, 2 etc. we get:
[tex]g(-2) = (-2)^{2} = 4\\ g(-1) = (-1)^{2} = 1\\ g(0) = (0)^{2} = 0\\ g(1) = (1)^{2} = 1\\ g(2) = (2)^{2} = 4[/tex]
By plotting this value, we get option-D is the graph that represents the function g(x).
Learn more about a function here: https://brainly.com/question/12251916
#SPJ2
What is the circumference
Answer:
Circumfrence is the distance around the circle. Sort of like a perimeter of a square.
Step-by-step explanation:
To solve the picture: the answer is 8 pi cm. The formula for circumference is C= 2pir, in which r is the radius. This means multiply the radius by 2 and then by pi. This is also known as C= dpi (d meaning diameter)
Which of the following represents the factorization of the polynomial below?
x^2+9x+ 20
Answer:
(x + 4)(x + 5)
Step-By-Step Explanation:
What two numbers add to 9 and multiply to 20?
They would be 4 and 5.
So,
After Rewriting the expression,
(x + 4)(x + 5)
Hope this helped ;)
Which is an x-intercept of the graphed function?
O(0, 4)
0 (-1.0)
Q (40)
(0,-1)
Answer:
can show me the graph plz
Step-by-step explanation:
pls help will mark as brainliest
Answer:
6/b=10/40
Step-by-step explanation:
Let me know if this is correct or if I did something wrong I haven't done this kinda math in a couple year D:
Answer:
6/h=10/40
Step-by-step explanation:
The first and second one have a 30, so it's not right.
(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)
Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
