Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *
Answers
Answer:[tex]\frac{1}{64}^{th}[/tex]
Step-by-step explanation:
Given
Suppose V is the original volume of cone having r as radius and h as height
If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]
the [tex]r'=\frac{r}{4}[/tex]
[tex]h'=\frac{h}{4}[/tex]
Therefore new volume is
[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]
[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]
[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]
[tex]V'=\frac{V}{64}[/tex]
So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one
Related Questions
Solve the following trigonometric equations for all values of x | 0 < x < 360o. (12.5 pt. ea.)
1. 4 cos2 x = 3 2. 3 tan x = tan x – 2
Solve the equations for all values of θ | 0o < θ < 360o (12.5 pt. ea.)
3. 4 cos θ = – 4 4. – 1 – sin θ = – 4 – 7 sin θ
√ 2
Answers
Answer:
202
Step-by-step explanation:
4th answer
Gavyn, David & Alex share some money in the ratio 5 : 3 : 4.
In total, Gavyn and Alex receive £99.
How much does David get?
Answers
Answer:396
Step-by-step explanation:
The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?
Answers
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
please help me BIG POINTS
Answers
Answer:
32minutes
Step-by-step explanation:
time for 150 people=20 min
time taken for 1 person =20÷150
time taken for 240 people=20÷150×240
=32
hope this helps
plz mark me brainliest
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{time_1}{people_1} = \frac{time_2}{people_2}[/tex]
[tex]\frac{20}{150} = \frac{x}{240}[/tex]
Step 2: Cross multiply
[tex]20(240) = 150(x)[/tex]
[tex]4800 = 150x[/tex]
Step 3: Divide both sides by 150
[tex]4800 / 150 = 150x / 150[/tex]
[tex]32 = x[/tex]
Answer: Option C, 32 min
A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?
Answers
Answer:
Step-by-step explanation:
P(first blue) = 444/ 1554
P(second blue) = 443/1553
P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08
Jared and Alyssa made a stack of hay bales. Each bale has a volume of 1 m3. They made 3 layers with 6 bales in each layer. A) What is the volume of the stack? _______ b) How many rows of bales could be in each layer? _______ c) How many bales could be in each row? _______
Answers
Answer:
1) 18 m^3
2) 2 rows per layer.
3) 3 bales per row.
Step-by-step explanation:
Volume of bale = 1 m^3
Layer has 3 layers tall ams 6 layers.
Total volume = 1 x 3 x 6 = 18 m^3
The most stable arrangement will be to have 2 rows of 3 bales per layer.
There could be 3 bales per row
Simplify (x+2)(x+6) using grouping, and write the resulting expression in standard form
Answers
Answer:
(x+8)
Step-by-step explanation:
Answer:
x2 + 8x + 12
Step-by-step explanation:
(x + 2) (x + 6) = x (x + 6) + 2 (x + 6)
= x * x + 6x + 2 (x + 6)
= x2 + 6x + 2 (x + 6)
= x2 + 6x + 2x + 2 * 6
= x2 +6x + 2x + 12
= x2 + 8x + 12
Which constant could each equation be multiplied by to eliminate the x variable in this system of equations?
4x + 5y = 62
5x – 3y = 22
Answers
Step-by-step explanation:
4x + 5y = 62 | ×5 |
5x – 3y = 22 | ×4 |
20x + 25y = 310
20x – 12y = 88
_____________--
37y = 222
y = 222/37
y = 6
4x + 5y = 62 | ×3 |
5x – 3y = 22 | ×5 |
12x + 15y = 186
25x – 15y = 110
_____________+
37x = 296
x = 296/37
x = 8
Answer:It would be -5 and 4
Step-by-step explanation:
One way to show that two triangles are similar is to show that
Answers
Answer:
show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Answer:
show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
What is b and what is c in degrees?
Answers
Answer:
c is 90 degrees and b is 10 degrees hope its right
Step-by-step explanation:
Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens what estimate does junior make
Answers
Answer:
7000*40=280000
Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40
Answer:
280,000
Step-by-step explanation:
You buy two ads in a newspaper. One ad takes up 58 of a page, and the other ad takes up 18 of a page. How much space did you buy for ads?
Answers
There are 76 space did you buy for ads.
What is Addition?The process of combining two or more numbers is called the Addition.
Given that;
One ad takes up 58 of a page, and the other ad takes up 18 of a page.
Now,
Since, One ad takes up 58 of a page, and the other ad takes up 18 of a page.
Hence, The total space did you buy for ads = 58 + 18
= 76
Thus, The total space did you buy for ads is 76.
Learn more about the addition visit:
https://brainly.com/question/5454147
#SPJ2
The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36
Answers
Answer:
35 rabbits
Step-by-step explanation:
hens : rabbits : total
3 : 5 : 3+5
3 : 5 : 8
We have 56 total animals
56/8 = 7
Multiply each term by 7
hens : rabbits : total
3*7 : 5*7 : 8*7
21 : 35 : 56
There are 21 hens and 35 rabbits
Help me please (18 brainly points)
Answers
Answer:
25.8
Step-by-step explanation:
please help me with this
Answers
Answer:
3/8
Step-by-step explanation:
Find the height of the trapezoids
20 - 10 = 10
10/2 = 5
Find the area of the trapezoids
5*(20+10)/2 = 75
The formula for the area of the trapezoid is the height * the bases added together divided by 2
75*2(this is because there are 2 trapezoids) = 150
Put this to proportion of the total area of the dart board
150/[tex]20^{2}[/tex] = 150/400 = 3/8
3/8 is the probability that you score 3 points
What is the slope of the line through (-2,-6)(−2,−6)left parenthesis, minus, 2, comma, minus, 6, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis?
Answers
Answer:
The slope of the line through (-2,-6) and (2,2) is 2
Step-by-step explanation:
The slope of the line through the two points; (-2,-6) and (2,2) is; 2
According to. the equation;
We are required to find the slope of the line through; (-2,-6) and (2,2)The slope, m is therefore;
Slope, m = (2 -(-6))/(2 -(-2))Slope, m = (2+6)/(2+2)Slope, m = 8/4Slope, m = 2.
Read more;
https://brainly.com/question/16949303
Please I need help :(
Answers
WITH WHAT!!!!!!!!!!!!
What is the difference between 2/3 and 1/6 ?
Answers
Answer: 1/2
[tex]\frac{2}{3} - \frac{1}{6}[/tex] [tex]= \frac{4}{6} - \frac{1}{6}[/tex][tex]= \frac{3}{6} = \frac{1}{2}[/tex]
very simple question, help asap , giving brainliest.
Answers
Answer:
it is really true
Step-by-step explanation:
good question
Help please!!!!!!!!!!!!!!!!!!!
Answers
Answer:
i think is 75
Step-by-step explanation:
Answer: 105
Step-by-step explanation:
3-2 is 180-75 which gives you the answer.
Describe two different ways you could change the values in the table so that the answer to problem 6 is different.
Answers
Answer:
Um theres no question or picture. Or document.
Step-by-step explanation:
32, 28, 21, 31, 18
Is 18 an outlier or no?
Answers
Answer:
No because 21 is close to it.
Step-by-step explanation:
To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
No. it's close to 21.
Step-by-step explanation:
There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P
Sophia tas $146.32 imfer savings account. She has -3212.19 in her checking account
Which one of the following inequalities correctly compares the account values
Choose 1 answer
146.22 < -212.19
-212.13 < 146.22
Which one of the following descriptions is comed
Choose 1 answer
Sophia's savings account has a lower account value than her checking account
Answers
Answer: 1. -212.13 < 146.22
2. Sofia‘s checking account has a lower account value in her savings account
Step-by-step explanation: Your welcome
Answer:
B
Step-by-step explanation:
:)
Find the total surface area of the composite figure. (It’s not 96)
Answers
Answer:
I did the math, and believe it could be 60(pi)
Reasoning:
Cone: T.A. = (pi)rl + (pi)r^2
Cylinder: Total Area: T.A. = 2(pi)rh + 2(pi)r^2
(pi)rl + (pi)r^2 + 2(pi)rh + 2(pi)r^2 = TA (_____ = delete, because they will be within the figure)
(pi)rl + 2(pi)rh + (pi)r^2 = TA
It can't be
24 or 9, because they are too small, and you said it can't be 96.
-Sorry if this isn't the best. I am a Geometry student as well.
Somebody please helpI have 12 of these type of questions and I am very confused.
Answers
Answer:
(1,1)
Step-by-step explanation:
Really simple, just see where they cross because that shows if you plug in the x or y value into the either equation you will get the same value in return.
What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.
Answers
Answer:
The answer is 70cm²Step-by-step explanation:
Area of a parallelogram = base × height
From the question
base = 14 cm
height = 5 cm
Substituting the values into the above formula we have
Area = 14 cm × 5 cm
Area = 70cm²Hope this helps you
Answer:
1,750
Step-by-step explanation:
f(x) = (x – 1)(x + 4)?
Answers
Answer:x^2+3x-4
Step-by-step explanation:
You can drive 900 miles in 20 hours. At this rate, how long would it take to drive 135 miles?
Answers
Answer:
It would take 3 hours to travel 135 miles.
Step-by-step explanation:
[tex]\frac{900}{135} =\frac{20}{x}[/tex]
So, if you cross multiply 135 by 20 that equals 2,700
Next, 2,700 divided by 900= 3
It would take 3 hours to travel 135 miles.
Which term best describes two events that together include all of the outcomes in the sample space
a) Complementary
B) Unlikely
C) Independent
D)Disjoint
Answers
Answer:
Complementary
Step-by-step explanation:
When 2 things are complementary, they take up all given space.
When it's unlikely, it isn't all probability
Independent means they don't affect each other.
Disjoint means mutually exclusive.
(-4c+1)(4c+1) a polynomial in standard form
Answers
Answer:
-16c² + 1
Step-by-step explanation:
Use FOIL.
First: -4c × 4c = -16c²
Outside: -4c × 1 = -4c
Inside: 1 × 4c = 4c
Last: 1 × 1 = 1
-16c² - 4c + 4c + 1
Simplify.
-16c² + 1
Make sure you're starting with the highest degree term and going down; that's what standard form means. In this case -16c² has the highest exponent so it goes first, and then 1 doesn't have any variables, so it comes next.
