A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.
Determine the approximate volume of the solid. Use 3.14 for pi. cm3
Answers
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Related Questions
How many eighths does it take to equal 1/4 model
Answers
Answer:
2 eighths.
Step-by-step explanation:
Answer:
2 eighths
Step-by-step explanation:
1/8 + 1/8 = 2/8 or 1/4
pls help I'll mark brainliest
Answers
Answer:
305°
Step-by-step explanation:
The angle between the north line at L and the line connecting PL is
125° (75° + 50° ) ← alternate angle between parallel lines
Then
bearing of P from L is 180° + 125° = 305°
Assume the following: 1) the scattergraph intersects the Y axis at $200; 2) the estimated line on the scattergraph increases by $10 for every 1 unit of volume increase. What is total cost if volume is 20 units
Answers
Answer:
The total cost is:$400
Step-by-step explanation:
Given
[tex]x \to units[/tex]
[tex]y \to cost[/tex]
[tex](x,y) = (0,200)[/tex] --- when the graph intersects the y-axis
[tex]m = 10[/tex] -- the rate
Required
y when x = 20
First, we determine the equation of the plot using:
[tex]y = mx + c[/tex]
Substitute 10 for m
[tex]y = 10x + c[/tex]
Next, solve for c.
Substitute [tex](x,y) = (0,200)[/tex]
[tex]200 = 10*0+c[/tex]
[tex]200 = 0+c[/tex]
[tex]c = 200[/tex]
So:
[tex]y = 10x + c[/tex]
[tex]y =10x + 200[/tex]
When x = 20
[tex]y =10*20 + 200[/tex]
[tex]y =200 + 200[/tex]
[tex]y = 400[/tex]
select all explanation that prove triangle ABC is congruent to triangle A'B'C
Answers
Answer:
AB = A'B'
BC = B'C'
AC = A'C'
angle ABC = angle A'B'C'
angle CAB = angle C'A'B'
angle CBA = angle C'A'B'
Step-by-step explanation:
use different axomes to show relation,
Answer: Reflect ABC across the vertical line passing through C
Step-by-step explanation:
Confused on how to solve this problem, please help and offer a step by step explanation
Answers
Answer:
7x+5=180
7x=175
x=25
Hope This Helps!!!
what is the cofficient in the expression 8x^2+1?
Answers
Answer:
8
Step-by-step explanation:
Answer is 8
x2+ y2 − 8x + 12y + 27 = 0
Using the standard form of the equation in question 1, what are the length of the radius and the coordinates of the center for this particular circle? Watch your signs for the variables h and k.
Answers
Central (4,–6)
Radius 5
Answer:
this was the answer from edmentum
Step-by-step explanation:
Which inequality is true?
A) |−6| > −6
B) |12| < |−5|
C) |−8| < 8
D) 7 > |−10|
Answers
Answer:
A) |−6| > −6
Step-by-step explanation:
Absolute value means take the non negative number
A) |−6| > −6 = 6> -6 true
B) |12| < |−5| 12 < 5 false
C) |−8| < 8 8 < 8 false
D) 7 > |−10| 7 > 10 false
The container of orange juice held 53 cups of juice. If a serving of orange juice is ã of a cup of orange juice, to the
nearest whole serving, how many servings were in the container?
05 servings
O 6 servings
15 servings
19 servings
Mark this and return
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Submit
Answers
Answer:
5 servings = 265 cups of orange juices
5 servings = 318 cups of orange juices
5 servings = 795 cups of orange juices
5 servings = 1,007 cups of orange juices
Step-by-step explanation:
Given:
1 serving contain = 53 cups of orange juices
Find:
Serving in;
5 servings
6 servings
15 servings
19 servings
Computation:
5 servings = 53 x 5
5 servings = 265 cups of orange juices
5 servings = 53 x 6
5 servings = 318 cups of orange juices
5 servings = 53 x 15
5 servings = 795 cups of orange juices
5 servings = 53 x 19
5 servings = 1,007 cups of orange juices
how do you find the area of a rectangle
Answers
Answer:
You multiply length by width.
Step-by-step explanation:
To find the area of a rectangle you multiply length and width together.
For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.
Answer:area =length x width
Step-by-step explanation:
Eve's sequence decreases by 2 hundreths each time. she picks a number to start with. what is the difference betwen her 3rd and 6th number?
Answers
Answer: 0.06
Step-by-step explanation:
Given
Eve's number decreases by 2 hundredths each time i.e. [tex]0.02[/tex]
Difference between 3rd and 4 th number is [tex]0.02[/tex], while the difference between 3 rd and 5 th is double the previous i.e. [tex]2\times 0.02=0.04[/tex]
So, the the difference between the 3 rd and 6 th number is three time the difference
[tex]\Rightarrow 3\times 0.02\\\Rightarrow 0.06[/tex]
Can someone help me plz
Answers
Step-by-step explanation:
the answer is in the image above
which step in the construction of coping a lin segment ensures that the new line segment has the same length as the original line segment
Answers
Step-by-step explanation:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
How many bacteria are in generation 9?
O A. 1,180,980
O B. 393,660
C. 1440
O D. 6561
Answers
Answer:
B. 393,660
Step-by-step explanation:
lemme get Brainliest please
Answer:
B. 393,660
Step-by-step explanation:
I plugged it into the symbolab calculator and attached the steps below! Hope this helps!
which of the following is true?
Answers
Answer:
the right ones are a c and d maybe
Step-by-step explanation:
these are probably wrong but I need my points so figure it out.
I need help does the table represent a function
Answers
Answer:
b. no, because one x-value corrseponds to two different y-values
Step-by-step explanation:
for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.
Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.
Answers
Consider the equations:
y=|x-1| and y=3x+2
What is the approximate solution of this system of equations?
Answers
Answer:
ans: (-3/2, -5/2), (-1/2, -5/4)
Step-by-step explanation:
here;
y =| x - 1| can be any of form I.e
y = x - 1 say equation••••1
OR
y = -( x - 1) say equation •••2
our next equation is,
y = 3x + 2 say equation ••••3
substituting 'y' from equation 1 and 2 to 3
we got
x - 1 = 3x + 2 -( x - 1) = 3x +2
- 3 = 2x -1 = 4x
hence
x= -3/2 and -1/4
substituting x in equation 3 we got
y = -5/2 and -5/4
OR ,
can be solve by iterative method which is quite long
Answer:
(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y
Step-by-step explanation:
what is the definition of risk ?
Answers
Answer: DOING SOMETHING THAT HAS THE POSOBILITY OF IT BEING BAD
Step-by-step explanation: BECAUSE
Answer:
D
Step-by-step explanation:
just got it right on edge
Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry
Answers
Answer:
(a) [tex]\frac{1}{7}[/tex]
(b) [tex]\frac{4}{7}[/tex]
(c) [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Probability (P) of an event is the likelihood that the event will occur. It is given by;
P = number of favourable outcomes ÷ total number of events in the sample space.
Given letters of cards:
A B C D E F G H J
∴ Total number of events in sample space is actually the number of cards which is 7
If a card is picked at random;
(a) the probability P(F), that it is labelled F is given by;
P(F) = number of favourable outcomes ÷ total number of events in the sample space.
The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.
∴ P(F) = 1 ÷ 7
=> P(F) = [tex]\frac{1}{7}[/tex]
(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;
P(N) = P(J) + P(A) + P(D) + P(E)
Where;
P(J) = Probability that it is labelled J
P(A) = Probability that it is labelled A
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(J) = [tex]\frac{1}{7}[/tex]
P(A) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{4}{7}[/tex]
(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;
P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)
Where;
P(A) = Probability that it is labelled A
P(B) = Probability that it is labelled B
P(C) = Probability that it is labelled C
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(H) = Probability that it is labelled H
Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.
P(A) = [tex]\frac{1}{7}[/tex]
P(B) = [tex]\frac{1}{7}[/tex]
P(C) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
P(H) = [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{5}{7}[/tex]
What is the period of the graph of…
Answers
The +3 translates the whole curve up 3 units
The period tells you the space between repetitions of the curve.
When x = 0, y = 2 x 1 + 3 = 5
This next happens when pi/3 x = 2pi so x would = 6
The period of the curve = 6
What’s the answers to this one
Answers
Answer:
g(- 2) = 0, g(4) = - 4
Step-by-step explanation:
x = - 2 in the interval - 2 ≤ x ≤ 4 , then
g(- 2) = 0
x = 4 in the interval 4 ≤ x < 10 , then
g(4) = - 4
I need help on this
A quarter circles fits exactly into a square of side 4 cm, as shown.
Determine the area of the shaded region, giving your answer correct to 3 significant figures.
Answers
Side of square = Radius of circle = 4cm
Area of full circle
= πr²
= (22/7) × 4cm × 4cm
= 352/7 cm²
Area of the quarter of circle
= Area of full circle/4
= (352/7)/4
= (352/7) × (1/4)
= 352/28
= 12.571 {approximately}
Find the distance between the two points in simplest radical form.
(-8, -2) and (-6,2)
Answers
Answer: [tex]2\sqrt{5}\\\\[/tex]
To get that answer, we apply the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (-2-2)^2}\\\\d = \sqrt{(-8+6)^2 + (-2-2)^2}\\\\d = \sqrt{(-2)^2 + (-4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]
As an alternative, you could plot the two points on the same xy grid, and then form a right triangle. Afterward, apply the pythagorean theorem and you should get the same result as shown above.
Lauren eats 1/8 of a chocolate cake before supper, and then eats another 1/8 after supper.
a) What fraction of the cake did she eat altogether? ______
b) What fraction of the cake was left? __________ 2 marks
Answers
Answer:
she ate 2/8ths and left 6/8ths
The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t) is height in feet How far off the ground is a seat when it is at the top of the Ferris wheel?
Answers
Answer:
101ft
Step-by-step explanation:
the answer is in the above image
Please answer number 13 only
Answers
Answer:
44%
Step-by-step explanation:
5 ½=5.5
12½=12.5
5.5/12.5=0.44
0.44×100=44%
Answer:
Answer:
44%
Step-by-step explanation:
5 ½=5.5
12½=12.5
5.5/12.5=0.44
0.44×100=44%
Step-by-step explanation:
PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......
Answers
Hey buddy I am here to help!
1. 8*5*2 = 40*2= 80cm2
3. 10*25*60 = 250*60 = 15000m2
2. 12*12*12 = 36cm2
4. 3*5*18 = 90*4 = 360m2
Hope my answer helps!
Plz mark me brainliest!
● Question 3. answer is wrong in last multiply so their answer is 1728m^3...
In this image their in question (1,2,3,4) answer...
I hope you understand...
Mark me as brainliest....
Thanks
Pls help me with this!
Answers
Answer:
Your answer would be X ≥ -3
Step-by-step explanation:
A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?
Answers
90% off means is is selling for 10% of the original price.
Multiply original price by 10%
107 x 0.01 = $10.70
It is selling for $10.70