If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is:
Answer: R = √(3*r^2)
Step-by-step explanation:
For a cylinder with radius r and height H, the volume is:
V = pi*r^2*H
For a cone of height H, and with a base of radius R, the volume is:
V = (1/3)*pi*R^2*H
In this case, we know that both figures have the same height, and the same volume, then we can write:
pi*r^2*H = (1/3)*pi*R^2*H
Now we can divide by pi in both sides to get:
(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi
r^2*H = (1/3)*R^2*H
Now we can divide both sides by H:
(r^2*H)/H = ((1/3)*R^2*H)/H
r^2 = (1/3)*R^2
Now we want to write R in terms of r.
Then we need to isolate R in the above equation:
r^2 = (1/3)*R^2
3*r^2 = R^2
√(3*r^2) = R
R = √(3*r^2)
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
Answer:
Step-by-step explanation:
1.25p=6600
p=6600/1.25
p=5280
Algebra quadrilateral dklm is a rhombus if dk=8, find kL
Consider the graph of the function f(x) = e^x
Answer:
The y intercept is positive 1 because that's where the graph crosses the y axis.
Answer:
Horizontal Asymptote of y= -7
Step-by-step explanation:
11 b = 5, what is a
B. 25
C, 75
D. 125
Answer:
2.2
Step-by-step explanation:
Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!
Step-by-step explanation:
the answer is in the attachment
The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.
The graph of y= 5(x + 1)²– 3The equation y = 5(x + 1)² - 3 represents a quadratic function.
The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.
The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.
The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.
Learn more about graphs at:
https://brainly.com/question/25799000
#SPJ2
What is the data correlation in the scatter plot below?
Negative
No correlation
Positive
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answer:
answer is 3 3/20
What is the percent increase from 40 to 64
Answer:
60 percent
Step-by-step explanation:
Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.
camille has save php 3,150.00 in the past three month.if the bike cost Php9,000.00,what percent of the cost of the bike has he saved??
Answer:
the percent of her saving to the price of the bike is 35%
3 1/4 divided by 1 1/4 =
Answer:
2.6, 2 3/5, 2 6/10
Step-by-step explanation:
2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.
Hey someone pls help the girl out
Answer:
because one i one is higher than the other, if you look at it
Answer:
Larger
Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger
Jason bought 6 CDs to add to his collection. A week later he dropped half of his total collection in a pond. He only had 12 CDs left. How many CDs did he start with?
Answer:
24 CDs
Step-by-step explanation:
if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...
if I get it wrong my bad its 2 am
Answer:
Jason starts with 18 CDs
Step-by-step explanation:
12 x 2 = 24
24 - 6 = 18
Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?
Answer:
Bill has $21.
Step-by-step explanation:
There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
Answer:
4
Step-by-step explanation:
combine like terms 15r-6r=9
9=36
divide both sides by 9
=4
An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.
Answer:
$7700
Step-by-step explanation:
As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700
$5000 initial + $2700 interest = $7700
EDIT:
It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.
6% interest is $300 per year
$300÷12= $25 per month
$25 x 9 months = $225
$5000 initial plus $225 interest = $5225 total
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
PLZ answer fast its an emergancy
Answer:
5/11*5/11=25/121
Step-by-step explanation:
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
100 POINTS! SHOW WORK!
Given : MO bisects
Answer:
[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:[tex] step - 1 : define[/tex]
[tex]\text{according to the question}[/tex]
[tex] \sf5x - 22 = x + 31[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]If MO bisects <LMN then m<LMN=2m<LMO
[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]
[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]
[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]
[tex]\\ \sf\longmapsto 3x=84[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:
A. skewed left
B .symmetrical
c skewed right
D. No answer text provided.
2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:
A. skewed left
B. symmetrical
C. skewed right
D. No answer text provide
3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices
A.skewed left
B. symmetrical
C. skewed right
D. No answer text provided.
Answer:
1. Skewed to left (negative)
2. Right skewed (positive)
3. Symmetric
Step-by-step explanation:
Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?
Answer:
19 quarts
Step-by-step explanation:
you change the measurements to quarts.
Explain answer !
( Will give brainlst)
Answer:
I think that the answer is m= -5/4
ANSWER TO NUMBER 3 FIRST PERSON GETS BRAINLIEST!!
Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class
100 points for this
Answer:
Ok... what's the question
Step-by-step explanation:
Answer:
anwser= 8 she will have 0 left
Step-by-step explanation:
each student gets 8 stickers
:)
Can y’all help me a question 25?!
Answer:
19.8839 miles away
Step-by-step explanation:
:)
How so you solve -5r+2r is greater than 54
Answer:
r < -18
Step-by-step explanation:
-5r+2r is greater than 54 can be written symbolically as:
-5r+2r > 54
Combining the r terms, we get:
-3r > 54
Solving this result for r requires reversing the direction of the inequality sign:
r < -54/3, or r < -18
Answer:
r < -18
Step-by-step explanation:
[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]
We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.
Hope this helps.
Solve each single-step equation. Show your work. a -2 + 3 = -2
Answer:
a=−3
Step-by-step explanation:
a−2+3=−2
Step 1: Simplify both sides of the equation.
a−2+3=−2
a+−2+3=−2
(a)+(−2+3)=−2(Combine Like Terms)
a+1=−2
a+1=−2
Step 2: Subtract 1 from both sides.
a+1−1=−2−1
a=−3
SPORTS A coach uses a metric to determine the athletes that make the Varsity, Junior Varsity A, and Junior Varsity B teams. The total number of points possible on a skills test is 350. Athletes will make "Varsity" with at least 90% of the points. Athletes will make "Junior Varsity A" for 70-89% of the points. Athletes will make "Junior Varsity B" for 50-69% of the points. The table shows the number of points for each athlete that tried out.
Answer:
there is no picture. :)
Step-by-step explanation:
Answer:
Varsity = 12
Jr Varsity A = 10
Jr Varsity B = 11
Step-by-step explanation:
Varsity = at least 90% = 350 times 90% = 315
Anything 315-350
Jr Varsity A = 70-89%
350 times 70% = 245
350 times 89% = 311.5
Jr Varsity b = 50-69%
350 times 50% = 175
350 times 69% = 241.5
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
4.5 in.
Student
Response
5 in.
Mark
Samantha
6 in.
Divia
1.3 in.
Cheng
0.9 in.
Candice
11.7 in.
Select all students that answered Mr. Twain's question correctly.
Answer:Mark
Step-by-step explanation:Diva
Answer:
Samantha and Candice
Step-by-step explanation:
In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.
