The given ratio of the volumes indicates that the volume of the cylinder is 9 times the volume of the cone.
The height of the cylinder is 12 cmReasons:
The given parameter are;
Ratio of the volume of the cone to the cylinder to the 1 : 9
The height and diameter of the cone are; 16 cm and 14 cm
The diameter of the cylinder = 28 cm
Required:
To find the height of the cone:
Solution:
[tex]\displaystyle The \ volume \ of \ a\ cone = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]
[tex]\displaystyle The \ volume \ of \ the \ cone = \frac{1}{3} \times \pi \times \left(\frac{14}{2} \right)^2 \times 16 = \mathbf{ \frac{784}{3} \cdot \pi}[/tex]
Volume of a cylinder, V = π·r²·h
[tex]\displaystyle Radius \ of \ the \ cylinder = \frac{28 \, cm}{2} = 14 \, cm[/tex]
Volume of the cylinder, V = π × 14² × h = 2,352·π
The volume of the cylinder = 9 × The volume of the cone
Therefore;
[tex]\displaystyle Volume \ of \ the \ cylinder =9 \times \frac{784}{3} \cdot \pi = \mathbf{2,352 \cdot \pi}[/tex]
[tex]\displaystyle Height \ of \ the \ cylinder, \, h = \mathbf{\frac{2,352 \cdot \pi}{14^2 \cdot \pi}} = 12[/tex]
The height of the cylinder, h = 12 cm
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Help me please I would really apparated it thanks.
write 321.51 to the nearest whole
Answer:
322.
Hope that helped. x
Step-by-step explanation:
We have 321.51,
So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)
Since the number is 5 we change the 1 to a 2. So the answer is 322.
A student concludes that the solution to the equation ( 2×+1+3=0 is×=4
Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
Michael drove 638 miles in 11 hours.
At the same rate, how many miles would he drive in 8 hours?
she will drive 754 miles in 13 hrs.
Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.
Answer:
The probability is 1/100
Step-by-step explanation:
This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.
Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get
Answer:
67 quarters
Explanation:
The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?
Answer:
Percent change in the price of gas is [tex]9.85\%[/tex]
Step-by-step explanation:
Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .
[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]
Here
[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]
[tex]V_{1}=2.03\$/gallon[/tex]
The percent change in the price of gas
[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]
Percent change in the price of gas is [tex]9.85\%[/tex]
Through what angle does the minute hand of a clock turn in 45 minutes?
Answer:
2700Step-by-step explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
so
45 * 6 =
2700
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
Ryan and Caiden both bought roses from the market. If Ryan paid $174.93 for 7 dozen roses, how much did Caiden pay for 4 dozen roses?
Will give the crown thing
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
The correct comparison as shown in the figures are:
QR < QSAB > CDm<FJG > m<HJGm<QSP > m<QSRFrom the given diagram, we are to fill in the blank spaces with a < or > symbol.
21) The measure of the angles is a function of the measure of the sides.
Since the angle facing the side QR is less than that of QS, hence QR < QS
22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB > CD
23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG
24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR
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Justin is making cookies, using a recipe in which the ratio
of flour to chocolate chips to sugar is 4: 2: 1 for each
batch.
a. If he is using 8 cups of flour how many cups of sugar
does he need?
b. To make 3 batches of cookies, what is the ratio of flour
to chocolate chips to sugar?
Answer:
Part A - he will need 2 cups of sugar
Part B - 12 : 6 : 3
Step-by-step explanation:
Part A :
8 divided by 4 is 2
Part B :
Multiply all the numbers by 3
Hope this helped! :)
Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at Dillon's Store or 3 from a selection of 20 shirts at The Men's Shop. In how many ways can she select the shirts
Using the combination formula, it is found that she can select the shirts in 775,200 ways.
The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
3 shirts from a set of 17.Then, 3 shirts from a set of 20.They are independent, hence, to find the total, we multiply both combinations.[tex]T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200[/tex]
She can select the shirts in 775,200 ways.
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Please help me understand
Step-by-step explanation:
A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490
Option B is the correct answer
50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.
Hello can anyone help me with these problems please and ty
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
What is another way to write 54?
5×5×5×5
4+4+4+4+4
4×4×4×4×4
5+5+5+5
IT CANT BE NONE OF THE ABOVE
Answer: 5^2.48 is honestly as close as you can get.
Trey bought a football on sale for 15% off of $45. Evan bought the same football at a different store for 25% off of $54. Who received the better deal? Explain.
a. How much did Trey spend on a football?
b. How much did Evan spend on a football?
c.
Who got the better deal?
Answer:
a. $38.25, b.$40.5, c. Trey
Step-by-step explanation:
A percentage can also be represented as a proportion out of 1; for example, 30 percent is .30, and 100 percent will be 1.00.
a. If Trey is paying 15 percent off a price, that means he is still paying 85 percent, and recall what I said earlier, about 85 percent is a .85 proportion. So now we multiply the price by the proportion he is paying .85*45 = $38.25
b. We want to do the same process we did in part a. So we have 1 - .25 =.75 to get the proportion of the original price Evan will be paying. Now we multiply .75*54 = $40.50.
c. Trey got the better deal because he ended up paying less; hence $38.25 is less than that of $40.50
Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.
Answer:
265
Step-by-step explanation:
To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. If it takes 44 seconds to ring up a particular customer, how many items is the customer purchasing?
Answer:
7
Step-by-step explanation:
Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x
Here, the total amount of time is 44, so we have
44 = 30 + 2x
subtract 30 from both sides to isolate the variable and its coefficient
14 = 2x
divide both sides by 2 to isolate x
x = 7
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
-8
Step-by-step explanation:
3-11=-8
Answer:
8
Step-by-step explanation:
Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42
The solution of the given equation will be C -x< 30
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions.
A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.
We have been given the equation as 3-x/2<18.
Now solving for x
3-x/2<18.
Eliminate 3
-x/2 < 18 - 3
-x/2 < 15
Multiply by 2 on both sides;
-x/2 < 15 (2)
-x< 30
Therefore, the solution of the given equation will be C -x< 30
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6a(2 squared)b + 36ab
Answer:
try for an answer: 6ab • (18ab + a - 6b)
PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.
What is the rate of change of the function above?
Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝
#10) Mrs. Sommer states that angle I is 65 degrees. Is she correct? why or why not
Answer: Mrs. Somner is correct.
Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.
3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks
Step-by-step explanation:
2wks = 24 days
If he spent 60days going 127.8 miles
He will spend 14 days going X miles
60/14 =127.8/X cross multiply
60X= 14×127.8
X=( 14×127.8)÷60
X= 29.82 miles
2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form
Thanks for the help!!!!
Answer:
1 7/10
Step-by-step explanation:
= 17/6 ÷ 5/3
= 17 x 3
= 6 x 5
= 51/30
= 1 7/10
f(x) = x – 3
g(x) = x^2 + 1
Find:
f(g(x)) =
PLEASE HELP WILL MARK BRAINLIEST!!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf{f(x) = x - 3}[/tex][tex] \sf f(g(x)) = g(x) - 3[/tex][tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex][tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]you can further simplify to get ~
[tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]