The two cones are similar. Find the surface area of the larger cone. Round your answer to the nearest hundredth. A.810.28cm squared. B.847.80cm squared. C.868.30cm squared. D.886.25cm squared
Answers
See attached figure for reference of the two cones.
Solution:
Find first the radius.
To find the radius we must multiply 13.8 to 4.6 and multiply it by 3.7
Thus,
(13.8 / 4.6) x 3.7 = 11.1
To find the surface area of the larger cone we use this formula:
((pi x rad x slide length) + (pi x rad^2))
Where:
rad or radius = 11.1
slide length = 13.8
((pi x 11.1 x 13.8) + (pi x 11.1^2)) = 868.30 cm^2
Related Questions
HELP PLZ; 20 POINTS
At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (a) List all the possible outcomes of the compound event. (b) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain. Answer:
Answers
(b) Possible outcomes for A or 1 are 1A 2A 3A and 1B ( 4 outcomes) therefore:
Probabilty = 4/6 = 2/3
(a) All the possible outcomes of the compound event are {(1, A), (1, B), (2, A), (2, B), (3, A), (3, B)}
(b) Probability is 2/3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
Given that,
At a fair, each person can spin two wheels of chance.
The first wheel has the numbers 1, 2, and 3.
The second wheel has the letters A and B.
(a) 1 can be followed by A and B, 2 can be followed by A and and B and so is 3.
Possible outcomes = {(1, A), (1, B), (2, A), (2, B), (3, A), (3, B)}
(b) Total possible outcomes = 6
Number of outcomes which has either 1 or A = 4
Probability = 4/6 = 2/3
Hence the required probability is 2/3.
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which of the following represents the formula that could be used to find the height of the cone
Answers
(3 * Cone Volume) / (PI * radius^2) = height
Mrs.Nellon’s class sold 18 rolls of wrapping paper.In all, the school sold 82 rolls. About what percent of the sales came from Mrs.Nellon’s class?
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21.9512195121951%
Evaluate the expression. If necessary, round to the nearest hundredth.
log 2.8
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HELP!!!!!!!!!!!!!!!!
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PartB: Sally needs 5 cups of sugar. If this is 14 of the number she needs to make cake, how many cups does she need?
PartC: Turn 5 into 5/1 keep 5/1 change the sign to multiplication, then flip 1/4 so it is 4/1.
Can someone please explain number 11?
Answers
Have a good day
Write an Inequality for the following situation
No more than 8 books are in your bag
Answers
if number of books is x,
then
x≤8.
It says "No more than 8 books are in your bag". Here "Not more than" a specific number would be a set of all values that are "less than or equal" to given number.
So let's consider 'n' represents the number of books in the bag and we know this number can not be a negative value i.e. n is "greater than or equal" to 0.
Also n is "less than or equal" to 8 as given in the question.
Hence, the inequality would be 0 ≤ n ≤ 8.
PLEASE HELP..... I WILL GIVE BRAINLIEST!!
Answers
Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:
[tex]12+12+12=3(12)[/tex]
With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:
[tex]19+19=2(19)[/tex]
So, her total is:
[tex]3(12)+2(19)[/tex]
If you subtract 3 from the total, then the expression is:
[tex]3(12)+2(19)-3=36+38-3=71[/tex]
For the second part:
If she's paying 3 less for each shirt, then the cost of 3 shirts will become:
[tex](12-3)+(12-3)+(12-3)=3(12-3)[/tex]
In the same fashion, for the two jeans:
[tex](19-3)+(19-3)=2(19-3)[/tex]
So the expression for the total cost is:
[tex]3(12-3)+2(19-3)=36-9+38-6=59[/tex]
For number three:
The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:
If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
find the nonpermissible replacement for a in this expression 7/6a
Answers
zero (0)
The explanation is shown below:
1. You have the following expression given in the problem above:
7/6a
2. By definition, the nonpermissible replacement for a is the value that make the denominator equal to zero.
3. Keeping this on mind, you have:
7/6a=7/6(0)=7/0
Therefore, as you can see, the answer is: zero (a=0).
The line plots shows the number of hours two different age groups of teenagers spent online the previous week.
Select from the drop-down menus to complete each statement.
The range is? is the same for both
is greater for data set 1
is greater for data set 2
The mean? is the same for both
is greater for data set 1
is greater for data set 2
Answers
Answer:
is greater for data set 2 ; is greater for data set 2
Step-by-step explanation:
The range is found by subtracting the highest and lowest value. The range of the first plot would be
34-21 = 13.
The range of the second plot would be
36-12 = 24.
The mean is found by adding together all of the data points and dividing by the number of data points. For the first plot, the sum of the data is 274 and there are 10 data points; this makes the mean 274/10 = 27.4.
For the second plot, the sum of the data is 280.5 and there are 10 data points; this makes the mean 280.5/10 = 28.05.
The range is greater for data set 2.
Then mean is greater for data set 2.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
Consider the data plot for 13 to 15 years olds.
Mean = Average of the values
= (21 + 24 + 26 + 27 + 27 + 28 + 28 + 28 + 31 + 34) / 10
= 27.4
Range = Maximum value - Minimum value
= 34 - 21
= 13
Consider the data plot for 16 to 18 years olds.
Mean = Average of the values
= (12 + 21 + 28 + 28 + 28 + 28 + 30.5 + 34 + 35 + 36) / 10
= 28.05
Range = Maximum value - Minimum value
= 36 - 12
= 24
Hence the range and mean are greater for data set 2.
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Jake has a teepee that is cone shaped it has a height of 9 feet and a diameter of 8 feet find the volume of the teepee in terms of Pi.
Answers
V = π(r^2)h/3
Since this problem gives you the diameter and not the radius, I would take half of the diameter because a radius is half of a diameter.
The half of 8 is 4, so the radius is 4
V = π(4^2)(9/3)
V = π(4^2)(3)
V = π(16)(3)
V is about 150.8
On which of the following lines does the point (7, 1) lie?
A.) y= 5x + 4
B.) y= -x + 8
C.) y= x- 10
D.) y= -4x + 3
Answers
[tex]x = 7 y = 1[/tex]
We must verify that equality is met.
For the following function we have:
[tex]y = -x + 8 [/tex]
Substituting values:
[tex]1 = -7 + 8 [/tex]
Rewriting:
[tex]1 = 1 [/tex]
Therefore, the point (7,1) is on the line.
Answer:
B.) y = -x + 8
If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.
a. -1 b.0 c. 1 d. sec theta
Answers
Check the attachment.
Hope it helps you :)
Answer:
Option A. [tex]cot\theta = -1[/tex]
Step-by-step explanation:
[tex]\frac{tan^{3}\theta -1}{tan\theta -1}-sec^{2}\theta +1=0[/tex]
we have to the value of [tex]cot\theta[/tex]
We further solve the equation
[tex]\frac{(tan\theta -1)(tan^{2}\theta +1+tan\theta )}{(tan\theta -1)}-sec^{2}\theta+1=0[/tex] [a³- b³= (a-b)(a² + b²+ ab)]
[tex]sec^{2}\theta +tan\theta -sec^{2}\theta +1=tan\theta +1=0[/tex]
[tex]\frac{1}{cot\theta }=-1[/tex]
[tex]cot\theta = -1[/tex]
Therefore Option A. [tex]cot\theta = -1[/tex] is the answer.
Hector has a $5 off coupon at Brenda's Bagels. Bagels cost $8.99 per dozen. Write an equation that models the total amount of money (y) Hector owes if he buys (x) dozen bagels.
Answers
Find the unknown. 531 = ( × 6) + 21
Answers
answer.
James filled 4 glasses with milk. Patrick filled 6 glasses with milk. Each glass held 8 ounces of milk. Which method explains a way to calculate the difference in the amount of milk each boy poured? A. Step 1 Multiply: 4 × 8. Step 2 Multiply: 6 × 8. Step 3 Add the products. B. Step 1 Divide: 8 ÷ 4. Step 2 Divide: 8 ÷ 6. Step 3 Add the quotients. C. Step 1 Multiply: 4 × 8. Step 2 Multiply: 6 × 8. Step 3 Subtract the products. D. Step 1 Divide: 8 ÷ 4. Step 2 Divide: 8 ÷ 6. Step 3 Subtract the quotients.
Answers
multiply 4 glasses by 8oz
= 4 * 8
= 32 total ounces in 4 glasses
STEP 2:
multiply 6 glasses by 8oz
= 6 * 8
= 48 total ounces in 6 glasses
STEP 3:
subtract the difference of steps 1 & 2
= 48 ounces - 32 ounces
= 16 ounces difference
ANSWER: (C) Step 1 multiply: 4 × 8. Step 2 multiply: 6 × 8. Step 3 subtract the products
Hope this helps! :)
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
Answers
The linear function that represents this graph is given by:
y = 300 - 0.6667x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.From the graph, when x = 0, y = 300, hence the y-intercept is of b = 300. The amount decays to 0 when the x-intercept is of x = 450, hence the slope is given by:
m = -300/450 = -0.6667.
Which means that the equation is:
y = 300 - 0.6667x.
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anyone know how to solve by giving me not only an explanation in words but can show me the equation, to solve the problem below? thanks
3(x+7)=6(x+2)
Answers
Simplify : 9 = 3x
Divide : x = 3
x = 3
I hope this helps!
-Raiden
a number cube is rolled 24 times.how many times will a number be less than tree be expected to be rolled?
Answers
it should be 4 out of 24 times
The number of the times cube is rolled for getting less than three is 8.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability of getting less than three = 2 / 6 = 1 / 3
The number of the times cube rolled is,
Pn = ( 1 / 3 ) x 24 = 8
Therefore, the number of the times cube is rolled for getting less than three is 8.
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The formula for glue says to add 55 mL of hardener to each container of resin. How much hardener should be added to 16 containers of resin? Write your answer in liters.
Answers
To determine how much hardener is required for 16 containers of resin, multiply 55 mL by 16 to get 880 mL, and then convert this to liters by dividing by 1,000, resulting in 0.88 liters of hardener needed.
Explanation:To determine how much hardener should be added to 16 containers of resin, we must multiply the amount needed for one container by the number of containers. The formula given states that 55 mL of hardener is required for each container of resin. To find the total amount for 16 containers, we perform the following multiplication:
Calculate the total milliliters needed: 55 mL/container × 16 containers = 880 mL.Convert the total milliliters to liters:Since 1 liter is equivalent to 1,000 milliliters, divide the total milliliters by 1,000 to get the volume in liters. 880 mL ÷ 1,000 = 0.88 L.
Therefore, 0.88 liters of hardener should be added to 16 containers of resin.
Final answer:
To determine the amount of hardener needed for 16 containers of resin, multiply 55 mL by 16 to get 880 mL and then convert that to liters, resulting in 0.88 liters of hardener.
Explanation:
To find out how much hardener should be added to 16 containers of resin, where each container requires 55 mL of hardener, you need to do a simple multiplication operation. Multiply the amount of hardener needed for one container by the number of containers:
Multiply 55 mL by 16:Now, convert milliliters to liters. Since there are 1,000 milliliters in a liter:Therefore, you should add 0.88 liters of hardener to the 16 containers of resin.
While bowling with friends, Brandy rolls a strike in 5 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
Answers
It 5/10 probability and 5/10 simplified is 1/2
The experimental probability of Brandy rolling a strike in the first frame of the next game is 1/2.
Explanation:To find the experimental probability that Brandy will roll a strike in the first frame of the next game, we need to divide the number of times Brandy rolled a strike in the first frame by the total number of frames. In this case, Brandy rolled a strike in 5 out of 10 frames, so the experimental probability is 5/10, which simplifies to 1/2.
lliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?
Answers
On the same note, Fiona's increase in Math grade is determined by subtracting 70 from her recent grade of 80, thus giving us an increase in her grade by 10. Therefore, the rate of increase in her Math grade is 10/70.
Now, let us take the decimal forms of the students' grade in math respectively. Lliana's is 21/65 or 0.32307692307... Fiona's is 10/70 or 0.14285714285. Now, subtracting this decimals we have 0.18021978021.
Changing it to percent form, we must multiply it by 100 and add the symbol "%". Therefore, we have 18.021978021 %.
Finally, rounding the value to the nearest whole number, we obtained 18.00% or just 18%.
Geometry Circle - Find the Midsing Angle
Answers
A car is traveling at a speed of 75 km/h. Identify the correct conversion factor setup required to compute the speed of the car in m/s.
A)
75km
1hr
x
1000m
1km
x
1hr
60min
x
60s
1min
B)
75km
1hr
x
1000m
1km
x
1hr
60min
x
1min
60s
C)
75km
1hr
x
1000m
75km
x
1hr
60min
x
1min
60s
D)
75km
1hr
x
1000m
75km
x
1hr
60min
x
60s
1min
Answers
Therefore, the speed of the car in m/s is [tex]\frac{75000}{3600}[/tex] m/s i.e., option (B) is correct.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A car is traveling at a speed of [tex]75[/tex] km/h.
As we know,
[tex]1km=1000m[/tex]
[tex]1h=60s[/tex]
So,
[tex]75[/tex] km/h=[tex]\frac{75(1000)}{3600}[/tex] m/s
[tex]=\frac{75000}{3600}\\\\[/tex]
Hence, the speed of the car in m/s is [tex]\frac{75000}{3600}[/tex] m/s i.e., option (B) is correct.
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A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds
Answers
where
[tex]a[/tex] is the acceleration
[tex]v_{i}[/tex] is the initial speed
[tex]v_{f}[/tex] is the final speed
[tex]t[/tex] is the time
We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore, [tex]v_{i}=5[/tex], [tex]v_{f}=15[/tex], and[tex]t=10[/tex]. Lets replace those values in our formula:
[tex]a= \frac{v_{f}-v_{i}}{t} [/tex]
[tex]a= \frac{15-5}{10} [/tex]
[tex]a= \frac{10}{10} [/tex]
[tex]a=1[/tex]
We can conclude that the acceleration of the bicycle rider 1 m/s^2
PLEASE HELP! @) POINTS
Describe the relationship between the probability of an event and its complement. If the probability of an event is 0.3, what is the probability of its complement?
Answers
= 0.7
Ratio is 0.3 to 0.7 or 3 to 7
1. The probability P of an event and its complement P' are mutually exclusive and add up to 1
2. If the probability of an event is 0.3, then the probability of its complement is 0.7. (1 - 0.3 = 0.7)
What is the solution of the equation
Answers
Distribute the 2.
4x - 10 = 3x + x - 2x
Combine like terms.
4x - 10 = 2x
Subtract 4x from both sides.
-10 = -2x
Divide by -2.
5 = x
x = 5
Hope this helps!
how farare 27and -54 apart on the number line
Answers
How far are 27 and -54 apart on the number line?
Solution:
If we see on the number line , 27 is 27 units apart from 0 and it is 27 units to the right of 0
And, -54 is 54 units apart from 0 and it is 54 units to the left of 0. So, -54 is in opposite direction with respect to 27.
So, To find how far is 27 from -54 we must add 27 and 54
As, 27+54=81
So, -54 and 27 are 81 units away from each other.
Answer:81 units
Please see the number line attached.
A bag contains 45 marbles of various colours. Lena draws 48 times, each time replacing the marble before drawing again. She gets a total of 16 red marbles. Which is the best prediction of how many red marbles are in the bag?
A) 3
B) 13
C) 15
D) 16
Answers
What is the area of the figure?
Answers
12 and 1/2 becomes 25/2
17 and 1/5 becomes 85/5
Now we multiply.
[tex] \frac{25}{2} ( \frac{86}{5} ) = \frac{2150}{10} = 215 [/tex]
Your area is 215 yd²
Area = 12 1/2 x 17 1/5 = 25/2 x 86/5 = 215 yd²
Answer: 215 yd²