Answer:
a. r = 8 cm
b. The volume of the cone is approximately 1,229 cm³
Step-by-step explanation:
The given parameters are;
The slant height of the cone = l cm
The base radius of the cone = r cm
The total surface area of the cone = 224·π cm
r : l = 2 : 5
Therefore, we have;
[tex]\dfrac{r}{l} = \dfrac{2}{5}[/tex]
[tex]r= \dfrac{2}{5} \times l[/tex]
The total surface area of a cone, T.S.A. = π·r·l + π·r²
The total surface area of the cone, T.S.A. cone = π × (2/5)·l² + π·((2/5)·l)²
T.S.A. cone = π × (2/5)·l² + π·((2/5)·l)² = π·((2/5)·l² + (4/25)·l²)
T.S.A. cone = π·l²·((2/5) + (4/25)) = (14/25)·π·l²
∴ T.S.A. cone = 224·π cm² = (14/25)·π·l²
l² = 224 cm² × 25/14 = 400 cm²
l = √(400 cm²) = 20 cm
[tex]r= \dfrac{2}{5} \times l = \dfrac{2}{5} \times 20 \, cm = 8 \, cm[/tex]
r = 8 cm
b. The volume of a cone, V = 1/3·π·r²·h
Where;
h = The height of the cone
By Pythagoras's theorem, h = √(l² - r²)
∴ h = √(20² - 8²) = √(336) = 4·√(21)
The height of the cone, h = 4·√(21)
The volume of the cone, V = 1/3 × (22/7) × 8² × 4·√(21) ≈ 1,229.00315781
∴ The volume of the cone, V to the nearest whole number ≈ 1,229 cm³.
khan academy! please helppp
Answer: Figure A to Figure B is a scale factor of 0.5
Step-by-step explanation:
It's not too hard to figure out scale factor, since the two shapes are the same aside from their scale. Notice how Figure A is 4 units tall, and that Figure Bis 2 units tall. From one figure to another, use the equation Figure B/Figure A to find the scale factor. Although you won't really need to memorize all this, you can count the amount of units on your fingers and figure it out from there.
PLease answer this quickly, my friend doesn't get the question.
Step-by-step explanation:
2 pepperoni and 1 cheese
Answer:Its exactly 2 whole pizzas but dont tell your friend this and tell him the answer is 3 pizzas so you get the right answer and can laugh at him
Step-by-step explanation:
also who WANTS 2/6 of a pizza LIKE imagine someone saying that in real life
Let f() = 3x - 1 and g(x) = 2x + 3 and find f(g(3))
Select the correct
response
f(g(3)) = 21
f(g(3)) = 19
f(g(3)) = 26
f(g(3)) = 17
Answer:
f(g(3)) = 26
Step-by-step explanation:
f(g(3))
g(3) = 2x + 3
= 2(3) + 3
= 6 + 3
= 9
f(9) = 3x - 1
= 3(9) - 1
= 27 - 1
= 26
I WILL GIVE BRAINLIEST!!!
Answer:
it even
Step-by-step explanation:
Answer:
even
Step-by-step explanation:
it was correct in the test
Combine the like terms to create an equivalent expression:
-3.2 - 6+ (-1)
Answer:
-3x + (-7)
Step-by-step explanation:
First you want to find the like terms, in this case it is the numbers without a coefficient, (6 and -1). So you are then left with -6+(-1) which equals to -6-1 = -7. Finally, you combine the number with the coefficient (-3x) with the number without it (-7) and you get -3x-7
Answer:
-3x-7
I hope the answer satisfies you and hope I didnt do anything wrong. Thanks for understanding.
What is being done to the variable in the equation = -40?
It's being multiplied by -40.
It's being multiplied by -5.
It's being divided by -40.
It's being divided by 5.
Answer:
3rd one
Step-by-step explanation:
because of the cheese
Answer:
3rd
Step-by-step explanation:
mmm cheese
how do i solve
-4(2x+5)+8x+20
Answer:
0
Step-by-step explanation:
-4(2x+5)+8x+20
-8x-20+8x+20
0+0=0
0
What is the slope? What is the y-intercept? What is the equation of line (write is slope intercept form)?
Answer:
[tex]2x+1[/tex]
Step-by-step explanation:
Use the rise over run method.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{1}[/tex]
To find the y-intercept, look where the line crosses on the y-axis. In this case, the line crosses on 1.
Now plug in the numbers:
[tex]y=mx+b[/tex]
m = slope
b = y-intercept
[tex]y=2x+1[/tex]
[tex]2x+1[/tex]
Hence the equation of the line is, [tex]2x+1[/tex].
Find the outlier of the data set {20, 100, 75, 85, 90, 80, 75).
Answer:
20.00
Step-by-step explanation:
In the set of data, the number furthest from the average is the number provided. Therefore, this must be the correct answer.
Draven's computer downloads files at a rate of 220 kilobytes per second. The computer has already downloaded the first 550 kilobytes of a 2310-kilobyte file. Solve the equation 550 + 220s = 2310 to find the number of seconds it will take to download the rest of the file.
Answer:
no se
Step-by-step explanation:
grfdskhcifewdsoheuwifhgtvihgfdsfdsseyuwryewgrgewtfrggsdgfyusdgfgsdgfuysdgfuygsuygfysgfugsdyfgsdgfhsdgfhgshfgsdhgfhjsd
2. One third of the cars available for sale in a dealership are used cars. If there are 20 new
cars, how many cars are there in the dealership?
Median of 4 3 8 6 21 3
Answer:
5
Step-by-step explanation:
order from least to greatest: 3, 3, 4, 6, 8, 21
4 and 6 are in the middle
6+4=10
10/2=5
hope this helps
plss help i’ll give brainliest thank you!
Answer:
36
Step-by-step explanation:
The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)
The Greatest Common Factor of (9,12) = 3
Therefore
LCM of 9 and 12 = (9 × 12) / 3
= 108/3 = 36
LCM of 9 and 12 = 36
Irrespective of the method, the solution to our question LCM of 9 and 12 is the same.
Therefore, LCM of 9 and 12 is 36
If a penceil has 25 grams and a apple has 75 grams more then the penceil how many grams is the apple
Answer:
The answer is 100
Step-by-step explanation:
It's 100 because it's saying that the apples is 75 more grams than the pencil. So we do 25 grams plus 75 grams which gets us 100. If your wondering where I got the 25 from it's from the amount of the pencil.
Can somebody help with my 2 way table assignments..? i know some of you will take this as a fre.e points question and i don't really care LOL.. just want some help.
Answer:
what is the question
Step-by-step explanation:
find the value of x.
Answer:
x = 4
Step-by-step explanation:
Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{10-x}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(10 - x)
3x = 20 - 2x ( add 2x to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Find the area of the parallelogram
Answer:
45 m
Step-by-step explanation:
Here,
Base (b) = 9m
Height (h) = 5m
Area of parallelogram = b * h. = 9*5. = 45m
For an employee training, the employee to instructor ratio is 24 to 2. If there are 39 instructors for the training, how many employees participated in the training?
Answer:
468
Step-by-step explanation:
Employee : instructor = 24 : 2
If there are 39 instructors
Employee = x
Employee : instructor = x : 39
Equate both ratios
24 : 2 = x : 39
24/2 = x/39
Cross product
24 * 39 = 2 * x
936 = 2x
x = 936/2
x = 468
Employees = x = 468
Mr Chua borrows a sum of money from the bank which charges a compound interest of 4.2% per annum, compounded quarterly. Given that Mr Chua had to pay $96.60 in interest payments at the end of the first year, find their original sum of money borrowed, giving your answer correct to the nearest cent.
Answer:
Original sum of money = $2246.51
Step-by-step explanation:
Interest = $96.60
Interest is compounded 6 times in a year ; n = 6
time = 1 year ; Rate of interest (r) = 4.2%
Students in Mrs. Kirby's English class recorded the number of hours they studied for final exams. The results are shown in the bar graph.
Mrs. Karty's English Com
Hours of Study
.
Days of the Week
Based on the information in the graph, what percent of the time spend studying was done from Monday to Wednesday?
A A) 45%
8 B) 18%
C C) 35%
D D) 50%
Consider the following expression.
8y + 5+ 3x
Pls help with this circles problem for math.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Point A is arbitrarily located. We have drawn the circle on a grid, so have made points A and E on orthogonal axes through point O.
1. Point B can be anywhere on the circle except on line AO.
2. Making circle A have the same radius as circle O puts points C and D 120° apart.
3. In this diagram, OF bisects right angle EOA, so central angle EOF is 45°.
Please help me with these two :/
please solve for M<PRQ
Answer:
[tex] m\angle PRQ =49\degree [/tex]
Step-by-step explanation:
[tex] m\angle PSQ = 360\degree - (128\degree + 134\degree )[/tex]
[tex] m\angle PSQ = 360\degree - 262\degree [/tex]
[tex] m\angle PSQ = 98\degree [/tex]
Now, by inscribed angle theorem:
[tex] m\angle PRQ = \frac{1}{2} \times m\angle PSQ [/tex]
[tex] m\angle PRQ = \frac{1}{2} \times 98\degree [/tex]
[tex] m\angle PRQ =49\degree [/tex]
Please help.......................
Answer:
(B) 80
Step-by-step explanation:
Can someone help ill choose brainliest if best
Answer:
Statistical Questions: 1 and 3
NOT Statistical Questions: 2 and 4
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.
a football field is drawn to a scale of 1cm represents 5cm if the field is 70m by 50m find the length and breadth on the drawing
Answer:
length of the drawing will be 14cm and breadth will be 10cm.
Step-by-step explanation:
if actual 5m represents 1cm in drawing then,
5m = 1cm
1m = 1/5cm
70m = (1/5)×70cm =14cm
likewise,
50m = (1/5)×50cm =10cm
thus, length in drawing is 14cm and breadth in drawing is 10cm.
Answer:
Width is 5 and length is 14
Step-by-step explanation:
Ok this is simple all we do is divide the length 70 by 5 and the width 50 by 5 to get
14 and 10
L=14
W=5
The ratio of red marbles to blue marbles in the bag was 3 to 4. If 24 marbles were blue, how many were red?
Answer:
there would have been 18 red
Step-by-step explanation:
Someone helpe me I’ll give brainliest I need the answer quick
Answer:
C and D
Step-by-step explanation:
Write the equation of a vertical line that passes through the point (-7,3).