Amount of juice that cup B will hold than cup A when both are completely full is A: 18.8 cubic inches. therefore, Option A: 18.8 cubic inches.
Amount of juice hold by Cup B which is in the shape of a cylinder having width 2 inches that is radius 1 inches and height 7 inches
πr^2h = π × 1^2 ×7 = 7π cubic inches
Amount of juice hold by cup A which is in the shape of a cone having width 2 inches that is radius 1 inches and height 3 inches
1/3 × π × r^2 h
1/3 × π × 1^2 × 3 = πcubic inches
Amount of juice that cup B will hold than cup A when both are completely full = 7π - π = 6π cubic inches
= 6 × 3.14
= 18.84 cubic inches
Option A: 18.8 cubic inches
for such more question on radius
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Question
Look at the cups shown below (please note that images are not drawn to scale):
A cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches.
How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.
18.8 cubic inches
21.9 cubic inches
25.1 cubic inches
32.6 cubic inches
If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll less than a 6?
The probability of getting the desired outcome is 5/12.
What is probability?Like "point" and "time," the concept of "the likelihood of anything" is one of those concepts that we can't precisely describe but that are nevertheless helpful. The four most popular approaches to probability are classical, empirical, subjective, and axiomatic.
Given flip a coin and roll a 6-sided die. to find the probability that you will flip a head and roll less than a 6. since there are two events that are separated from each other hence we need to find out the probability of both P(a∪b). hence,
probability of getting head on a coin flip P(a) = 1/2
probability of getting less than 6 on dice roll P(b) = 5/6
Probability of getting both the vent simultaneously = P(a) * P(b)
Therefore, the Probability of getting flipped a head and rolling less than a 6 is 5/12.
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Which of the following is the inverse of the relation {(1, 5), (2, 6), (1, 7), (4, 8)}? Select the correct answer below. A. {(1, 5), (2, 6), (7, 1), (8, 4)} B. {(5, 1), (6, 2), (7, 1), (8, 4)} C. {(2, 6), (1, 5), (8, 4), (7, 1)} D. {(1, 7), (1, 5), (2, 6), (8, 4)}
winston's soup recipe make 6 servings and uses 4 carrots and 2 potatoes. how many will winston need for 15 servings
Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?
Jacqueline's car gets 12 km per liter of gasoline. Therefore, on a full 50 L tank, she would be able to drive 600 km.
Explanation:To solve this problem, we need to determine Jacqueline's rate of distance traveled per liter of fuel consumed, then scale this up to find out how far she could theoretically drive on a full tank of 50 liters of gasoline. Jacqueline drove 72 km on 6 L of gasoline, so she is driving at a rate of 72 km / 6 L = 12 km/L.
To find out how far she could drive on a full tank of 50 L of gasoline, we can multiply this rate (12 km/L) by the total volume of the tank. This gives us 12 km/L * 50 L = 600 km.
So using this rate, Jacqueline would be able to drive 600 km on a full 50 L tank of gasoline, assuming that her car’s fuel efficiency stays consistent.
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Jacqueline can travel 600 km on a full tank of 50 L.
First, set up the proportion based on the given information,
Distance travelled / Gasoline used = Unknown distance / Full tank
This gives us:
72 km / 6 L = X km / 50 L
Now, solve for X by cross-multiplying and then dividing,
72 km * 50 L = 6 L * X km
3600 kmL = 6X kmL
3600 kmL / 6 = X km
X = 600 km
Therefore, Jacqueline can travel 600 km on a full tank of 50 L of gasoline.
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $3.4 trillion?
How to do? I really do Not know.Thanks. Sorry press wrongly.
It is Science
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 89m long and 66m wide. Find the area of the training field. Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:9953.46M squared
Step-by-step explanation:
The radius of the circle?
A car dealership increased the price of a certain car by 11%
The original price was $39,600.
Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price= ? x original price
Use your answer in part (a) to determine the new price.
New price: $?
Amos is painting his room . He needs 1/4 of a gallon to paint all four walls . How much paint will he need for each of his 4 walls if he uses the same amount of paint on each .
he needs 1/4 gallon total
4 walls so need to divide 1/4 x 4
1/4 / 4/1 = 1/4 * 1/4 = 1/16 gallon on each wall
Answer:
He needs [tex]\frac{1}{16}[/tex] of gallon to paint each wall.
Step-by-step explanation:
Given : He needs 1/4 of a gallon to paint all four walls .
To Find : How much paint will he need for each of his 4 walls if he uses the same amount of paint on each .
Solution:
He needs 1/4 of a gallon to paint all four walls .
He need paint to color 1 wall = [tex]\frac{\frac{1}{4}}{4}[/tex]
= [tex]\frac{1}{16}[/tex]
Hence he needs [tex]\frac{1}{16}[/tex] of gallon to paint each wall.
solve(3/4x=1/5, x=_)
Final answer:
To solve 3/4x = 1/5, cross multiply and simplify to get 15 = 4x. Divide both sides by 4 to find x = 3.75 or 15/4.
Explanation:
To solve the equation 3/4x = 1/5, we need to find the value of x that makes the equation true. First, we will cross multiply to get rid of the fractions. We multiply both sides of the equation by 4x and by 5, resulting in 5 × 3 = 4x × 1, which simplifies to 15 = 4x.
To find the value of x, we then divide both sides of the equation by 4, yielding x = 15/4. Therefore, the solution to x is 3.75 or ⅔.
Which linear inequality is represented by the graph?
y ≤ 2x + 4
y ≤ 1/2x + 3
y ≥ 1/2x + 3
y ≥ 2x + 3
The graph is a solid line. It is crossing through (0,3) and it's shaded below it.
A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
What is 5/14+1/6 I really need help
What is the rounding or compatible number
of 256+321
Three students have to give a speech in class today. In how many different orders can they give their speeches?
I REALY NEED HELP! Will give Brainliest!
Of segments CFD and CED, which of the segments has a greater area based on the given information?
Circle A: radius = 10m, m∠CAD = 90°
Circle B: radius = 12m, m∠CBD = 60°
If I am understanding you correctly, first solve for the whole sector, which you can use this formula.
[tex] \frac{\Theta}{360} \pi r^2[/tex]
Once you find the area of the sector, all you have to do is get the area of the triangle and then subtract the area of the triangle from the sector and that will tell you the area of CFD and CED and let you know which one is greater.
For instance, Lets find A
sector area = [tex] \frac{90}{360} \pi 10^2 = 25\pi [/tex]
Now lets get the area of the triangle, which is
area triangle = [tex] \frac{1}{2} bh\sin C[/tex]
area triangle = [tex] \frac{1}{2} \times 10 \times 10 \times sin 90 = 50m^2[/tex]
CED = sector area - area of triangle = [tex] 25\pi - 50 = 28.53m^2[/tex]
Now lets find B
sector area = [tex] \frac{60}{360} \pi 12^2 = 24\pi [/tex]
Now lets get the area of the triangle, which is
area triangle = [tex] \frac{1}{2} bh\sin C[/tex]
area triangle = [tex] \frac{1}{2} \times 12 \times 12 \times \sin 60 = 36\sqrt(3)[/tex]
CFD = sector area - area of triangle = [tex] 24\pi - 36\sqrt(3) = 13.04m^2[/tex]
So A has the greater area base.
Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30.
answer both questions to get brain if u don't see all the answers is don't matter all u need is the question
3) area = pi x r^2
113 = 3.14 x r^2
r^2 =113/3.14 = 35.98726
r = sqrt(35.98726) = 5.9989 round to 6 inches
answer is C 6 inches
4) G = 2.5 times smaller than 18.04
18.04/2.5 = 7.216
answer is B0 7.216 cm
The sum of two numbers is 44 . Their difference is 22 .
x+y =44
x-y=22
x = 22+y
22+y +y =44
22+2y =44
2y=22
y=11
x=22+11=33
check:
11 +33 = 44
33-11=22
so the numbers are 11 and 33
Ella surveyed the students at her school to find out if they like math and/or science. The table below shows the results of the survey:
Like Math
Do Not Like Math
Total
Like Science
41
22
63
Do Not Like Science
7
31
38
Total
48
53
101
If a student likes science, what is the probability that student does not like math?
14.5%
18.4%
34.9%
65.1%
Please Help !!!!
write the equation for the graph
What is the mean of the following set of data? Round your answer to two decimal places.
66, 81, 60, 72, 79, 83, 60, 92, 68
77.41
75.34
70.59
73.44
6300 and 530 the value of 3 in 6300
how do i solve this 9x-5+7(x-3)-2(7+4x)-3x
distributive property and combining like terms pre algebra
Ratio or rate of 30 feet to 60 feet
HELP PLEASE ASAP!!
1. Can you explain how a table can be used to find the rate of change?
2. How do you find the rate of change using a graph?
Which equation does the graph below represent?
y = fraction 1 over 4 + x
y = fraction 1 over 4x
y = 4 + x
y = 4x
Triangle JKL is isosceles. The meansure of angle J is 72degrees and the measure angle K is 36 degrees. Which satement describes angle L?
Angle L in triangle JKL is [tex]\( 180^\circ - (72^\circ + 36^\circ) = 72^\circ \)[/tex]. Therefore, angle L measures [tex]\( 72^\circ \).[/tex]
1. Start with the fact that triangle JKL is isosceles, which means that angles J and K are congruent.
2. Given that angle J measures [tex]\( 72^\circ \)[/tex] and angle K measures \( 36^\circ \), the sum of angles J and K is [tex]\( 72^\circ + 36^\circ = 108^\circ \).[/tex]
3. Since the triangle is isosceles, the base angles (angles J and K) are congruent, so each measures half of the sum of angles J and K, which is [tex]\( \frac{108^\circ}{2} = 54^\circ \).[/tex]
4. Since angle L is the remaining angle in the triangle and the sum of the angles in a triangle is \( 180^\circ \), we subtract the sum of angles J and K from [tex]\( 180^\circ \)[/tex] to find the measure of angle L: [tex]\( 180^\circ - 108^\circ = 72^\circ \)[/tex].
5. Therefore, angle L measures [tex]\( 72^\circ \)[/tex].
Consider a political discussion group consisting of 4
Democrats, 6
Republicans, and 6
Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting a
Democrat
and then a
Republican
.
Answer: 0.1
Step-by-step explanation:
Given : The number of Democrats : 4
The number of Republicans : 6
The total number of group members =[tex]4+6+6=16[/tex]
The probability that the first member selected is Democrat :-
[tex]\dfrac{4}{16}=\dfrac{1}{4}[/tex]
Now, the total number of group members left = 15
The probability that the second member selected is Republican :-
[tex]\dfrac{6}{15}=\dfrac{2}{5}[/tex]
Now, the required probability will be :_
[tex]\dfrac{1}{4}\times\dfrac{2}{5}=\dfrac{1}{10}=0.1[/tex]