Answer:
1.092
Step-by-step explanation:
A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)
=================================================
Work Shown:
A = volume of the cylinder
A = pi*(radius)^2*(height)
A = pi*r^2*h
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The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4
B = volume of the cone
B = (1/3)*(volume of cylinder with radius r/4 and height h)
B = (1/3)pi*(r/4)^2*h
B = (1/3)*pi*(r^2)/(4^2)*h
B = (1/3)*pi*(r^2)/16*h
B = (1/3)*(1/16)*pi*r^2*h
B = (1/48)pi*r^2*h
B = (1/48)*A
B = (1/48)*(volume of cylinder)
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C = volume of the empty space/air inside cylinder, but outside cone
C = A-B
C = A - (1/48)*A
C = (48/48)A - (1/48)A
C = (48A)/48 - (A/48)
C = (48A-A)/48
C = 47A/48
C = (47/48)*A
C = (47/48)*pi*r^2*h
What number would go into the box?
can someone help me x -y =1
and can yall explain how you solved it
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 31 questions he thought he got right. It turns out that Henry got 6 questions wrong that he thought he got correct and he only got 12 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?
Answer:
74%
Step-by-step explanation:
Given that :
Total number of questions = 50
Total correct prediction :
Correct and right prediction = ( 31 - 6) = 25
Correct wrong prediction = 12
Total correct predictions = (25 + 12) = 37
Percentage prediction accuracy :
(Total correct prediction / total questions) * 100%
(37/ 50) * 100%
0.74 * 100%
= 74%
Given m//n, find the value of x
Answer:
117 is the value of you Question
Step-by-step explanation:
simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?
Answer:
7/10
Step-by-step explanation:
1/5=6
10%=3
30-6-3
21
21/30=7/10
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket
Answer: adult = $11
Child = $8.5
Step-by-step explanation:
Let the cost of an adult ticket be a
Let the cost of child ticket be c.
From the question,
3a + 4c = $67 ....... i
5a + 6c = $106 ...... ii
Multiply equation I by 5
Multiply equation ii by 3
15a + 20c = $335
- 15a + 18c = $318
2c = $17
C = $17/2 = $8.5
Put the value of c into
3a + 4c = $67
3a + 4($8.5) = $67
3a + $34 = $67
3a = $67 - $34
3a = $33
a = $11
Cost of adult ticket = $11
cost of child ticket = $8.5
What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.
Answer:
y=-4x-4
Step-by-step explanation:
-2,4
4,-20
-20-4 is -24
4--2
6
-24/6 is -4 (slope)
4=-2*-4+b
4=8+b
-4=b (y intercept)
For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Step-by-step explanation:
Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)
Step-by-step explanation:
GEOMETRY/EASY PROBABILITY, urgent!
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
Mark me as brainliest
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
Multiply [tex]\frac{-9i}{-3 - 9i}[/tex] where i is the √-1
(-9i) / (-3 - 9i)
You can simplify to 9i/3+9i
Multiply by 3 - 9i / 3 - 9i
You get 27i + 81 / 90
Lila thought of a whole number and added the next whole number to it. What was the original number she thought of if the sum was 22?
Answer:
10Step-by-step explanation:
Let the original whole number be x and the next whole number be x+2
If Lila added both number and the sum was 22, then:
x + (x+2) = 22
x+x+2 = 22
2x +2 = 22
2x = 22-2
2x = 20
divide both sides by 2
2x/2 = 20/2
x = 10
Hence the original number she thought of was 10
PLEASE HELP ME ASAP!!!!!!!!
Answer:
-3(-1)=
Step-by-step explanation:
Need help, please!!!
Read question carefully...
Please someone help
Answer:
Nerys pays 3.1/3.84,5=84,5£per year
Eleri pays 3.84,5=253,5£per year
253,5-84,5=169£ more pay Eleri
-0.4a + 3 = 7
a = ?
What is the opposite of negative 21 or -21 ?
Answer:
21
Step-by-step explanation:
because on a table, -21 and 21 are lined up together.
What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answer:
The answer is 1.788
Step-by-step explanation:
Select all of the zeros of the function f(s) = (5x - 7)(x + 3)
Answer:
Step-by-step explanation:
It’s a written I just took the test
Um... is there a question?
Which of the following statements contain a variable?
A. The time it takes to wash the dishes plus 30 minutes.
B. The age of my friend.
C. The number of kittens in a litter.
D. There are 24 hours in a day.
The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?
Will mark brainiest for the first one with the correct answer.
Answer:
for pulling out a killer kiwi it would be 5/15 and 9/15 for crazy coconut
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Step-by-step explanation:
I just eyeballed it.
Answer:The Axis of Symmetry for [tex]h(x)[/tex] is the vertical line, [tex]x = 3[/tex].
Find the reciprocal.
12
Answer:
1/12
Step-by-step explanation:
finding recirocal is basically turning your number into 1. so 12 times 1/12 equals 1.
The reciprocal of 12 is 1/12.
Hope this helps! :)
yo, i need some help :/
What is the domain of the function represented by the table?
A). all real numbers
B). x greater-than-or-equal-to 0
C). all integers greater than or equal to zero
D). {5, 10, 15, 20, 25}
Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50
The solution is Option C.
The incorrect rounding of the number 53.864 is 53.87
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the number be represented as A
Now , the value of A is
A = 53.864
Now , on rounding the number A to the nearest , we get
Step 1 :
If we round the number to the nearest integer, the number is 54
Step 2 :
If we round the number to the nearest tenth, the number is 53.9
Step 3 :
If we round the number to the nearest hundredth, the number is 53.86
So , the number 53.87 is not true
Step 4 :
If we round to the nearest tens, the number is 50
Hence , the only incorrect rounding is 53.87
To learn more about rounding up of numbers click :
https://brainly.com/question/4896544
#SPJ5
What is the dollar value of 10 pennies and 9 nickels? What is the dollar value
of p pennies and n nickels?
What on that be $1
Step-by-step explanation:
because when you add 10 pennies and 9 nickel it will give you one dollars hope it helps ♥️♥️♥️
Answer: dollar value is 55 cents
Step-by-step explanation: Common Sense