Upon calculating the volume of the given cylinder and comparing it with each option, it is determined that none of the provided cylinders have the same volume as the cylinder with a height of 32 meters and a diameter of 20 meters.
Explanation:The question is asking which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To find this out, we first calculate the volume of the given cylinder. The formula for the volume of a cylinder is[tex]V = \(\pi r^2h\)[/tex], where V is the volume, [tex]\(r\) i[/tex]s the radius of the base, and h is the height of the cylinder. In this case, the radius (half of the diameter) is 10 meters, so the volume is:
[tex]V = \(\pi (10)^2 \times 32\) = 320\(\pi\) cubic meters.[/tex]
Now, let's check each option:
A cylinder with height of 16 meters and diameter of 40 meters has a volume of 16[tex]\(\pi (20)^2\) = 6400\(\pi\)[/tex] cubic meters, which is not equal.A cylinder with height of 64 centimeters and diameter of 5 meters is not comparable without conversion and does not match.A cylinder with height of 8 meters and diameter of 40 meters has a volume of[tex]8\(\pi (20)^2\) = 3200\(\pi\)[/tex]cubic meters, which is not equal.A cylinder with height of 64 centimeters and diameter of 10 meters is not comparable without conversion and does not match.A cylinder with height of 20 meters and diameter of 32 meters has a volume of [tex]20\(\pi (16)^2\) = 5120\(\pi\)[/tex]cubic meters, which is not equal.A cylinder with height of 128 meters and diameter of 10 meters has a volume of [tex]128\(\pi (5)^2\) = 3200\(\pi\)[/tex] cubic meters, which is not equal.Therefore, none of the provided options have the same volume as the given cylinder.
The cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.
To find cylinders with the same volume as the given cylinder (height = 32m, diameter = 20m), we calculate its volume and compare it with the volumes of the listed cylinders. Cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, have the same volume as the given cylinder.
The question involves finding which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To solve this, we first calculate the volume of the given cylinder using the formula for the volume of a cylinder, V = πr²h, where r is the radius (half of the diameter) and h is the height.
The volume of the given cylinder is V = π(10²)(32) = 320π cubic meters. We then apply the same formula to each of the listed cylinders, converting dimensions to the same units where necessary, to identify which ones have the same volume.
A cylinder with height of 16 meters and diameter of 40 meters has a volume of 320π cubic meters, which matches.A cylinder with height of 8 meters and diameter of 40 meters does not match because its volume is 160π cubic meters.A cylinder with height of 128 meters and diameter of 10 meters also has a volume of 320π cubic meters, which matches.Therefore, the cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.
Will a set of data always have a mode? Explain your answer.
A set of data will not always have a mode.
A mode is defined as the value that appears the most often in a set.
For instance, a set of 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6 would have a mode of 4, as it appears more often than any other number in the set.
However, a set of 1, 2, 3, 4, 5, 6 has no mode as there is no number that appears more than other numbers in the set.
If angle B measures 120 degrees, find
the Q
A.30 degrees
B.60 degrees
C.120 degrees
D.90degrees
Answer:
C. 120°
Step-by-step explanation:
There are two paralell lines, one is part of Angle B, and the other of Angle Q. Then there is a diagonal line, coming at the same angle from B all the way to Q, because the other two lines are paralell. It basically means if you were to slide the flat line which is connected to Q up the diagonal line, it would fit perfectly with it's parallel. So the two angles; Angle B and Angle Q; are the exact same.
Hope this helped! Good luck with future math problems :)
Answer:
The answer for this question is 120 degrees
Step-by-step explanation:
Wich fraction is the largest? 8/6 8/4 9/6 5/7 6/9
Answer:
8/4
Step-by-step explanation:
8/4 is equal to 2 and the others equal less than 1 1/2 and 2
Answer:
8/4
Step-by-step explanation:
8/4 is 2
8/6 is 1.333
9/6 is 1.5
5/7 is .7142
6/9 is .666
What is 1,000,000,000,000 as a power of 10?
Answer:
1,000,000,000 as a power of 10, is: 10^12
Step-by-step Solution:
We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:
1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000
Answer:
10^12 (10 to the 12th power)
Step-by-step explanation:
10 to the twelth power would basically be 10x10x10x10x10x10x10x10x10x10x10x10
This equals 1,000,000,000,000, which is one trillion.
why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet ?
Answer:
the answer is C
Step-by-step explanation:
In a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers by both the shirt and a pair of pants. If a customer is chosen at random what is the probability that he or she buys a shirt or a pair of pants?
Answer:
80%
Step-by-step explanation:
75% + 20% - 15% = 80%
The probability is 80%
The probability that he or she buys a shirt or a pair of pants is 80%.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that in a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers buy both the shirt and a pair of pants.
The percentage of customers who buy only shirt = 75% - 15% = 60%
The percentage of customers who buy only pant= 20% - 15% = 5%
The percentage of customers who buy both = 15%
Now, the probability that he or she buys a shirt or a pair of pants is,
Probability = 60% + 5% + 15% = 80%
Hence, the probability that he or she buys a shirt or a pair of pants is 80%.
Learn more about Probability:
https://brainly.com/question/795909
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Lily offers embroidery services at her clothing store. She charges $2 for every letter plus a $6 setup fee. Which graph represents the cost of Lily's embroidery services?
Answer:
Ok so the way i see it lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. If it isn't to much can you give me brainliest? if not a simple thanks will do!!!
~~ Night
Answer: lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. Brainliest?
How many solutions does this linear system have?
y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2
6x – 4y = –10
one solution: (–0.6, –1.6)
one solution: (–0.6, 1.6)
no solution
infinite number of solutions
Answer:
one solution: (–0.6, 1.6)Step-by-step explanation:
Given the system of equation,
y = [tex]\frac{2x}{3}+2[/tex]...(1)
6x – 4y = –10 ...(2)
Substituting equation 1 into 2 we have;
6x - 4(2x/3 +2)= -10
6x -8x/3 -8 = -10
Multiplying through by 3;
18x-8x-24=-30
10x=-30+24
10x = -6
Dividing both sides by 10
10x/10 = -6/10
x = -0.6
Substituting x = -0.6 into equation 1 to get the value of y we have;
y = 2(-0.6)/3 + 2
y = -1.2/3 + 2
y = -0.4+2
y = 1.6
This shows that the linear equation has only one solution. The solution is
x = -0.6 and y = 1.6
Answer:
its b
Step-by-step explanation:
hope this helped
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
Please help
Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point [tex](15,0)[/tex]:
[tex]15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0[/tex]
So, (15, 0) satisfies all the inequalities
For point [tex](7.5,7.5)[/tex]:
[tex]7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0[/tex]
So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):
[tex]22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\[/tex]
So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in [tex]s\geq 15-t[/tex]
[tex]7.5\geq 15-0=15[/tex] which is false
So, [tex](s,t)\neq (7.5,0)[/tex]
Answer:
D.
Step-by-step explanation:
a sightseeing bus picks up a group of tourists at a hotel. it then travels 2 blocks north, 2 blocks eats , 1 block south,2 blocks east, and 1 block south. describes where the bus is in relation to the hotel.
(*It would mean a lot if you could answer*)
Answer:
the hotel is four blocks west from the bus; the bus is four blocks east from the hotel.
The bus is 4 blocks east of the hotel.
Since a sightseeing bus picks up a group of tourists at a hotel, and it then travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, to determine where the bus is in relation to the hotel, the following calculation must be carried out:
North and South are antagonistic, the same as East and West 2 N + 2 E - 1S + 2E - 1S 2 N - 2S = 0 2E + 2 E = 4E
Therefore, the bus is 4 blocks east of the hotel.
Learn more in https://brainly.com/question/17249312
Each of two urns contains green balls and red balls. Urn I contains 10 green balls and 14 red
balls. Urn II contains 4 green balls and 11 red balls. If a ball is drawn from each urn, what is
P(red and red)?
A.1/9
B.25/39
C.79/60
D.77/180
The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.
To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].
In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].
The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:
[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].
To simplify the calculation:
Simplify [tex]\(\frac{14}{24}\) to \(\frac{7}{12}\)[/tex].Multiply [tex]\(\frac{7}{12}\) by \(\frac{11}{15}\)[/tex].[tex]\(\frac{7}{12} \times \frac{11}{15} = \frac{77}{180}\)[/tex].Therefore, the correct answer is D. 77/180.
3. Liam has a rectangular back
yard. He measured one side of the
yard and found it to be 85 feet and its
diagonal to be 117 feet. Determine, to
the nearest tenth of a foot, the length
of the other side of his back yard
Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Given: y=x^2-4x-12
A.) determine the roots/zero
(By factoring & setting the answer equal to zero)
B.) use h=-b/2a to get vertex
Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
Answer:
x = -2, 6
Vertex: (2,-16)
Step-by-step explanation:
x² - 4x - 12
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x - 6)(x + 2) = 0
x = -2, 6
h = -(-4)/2
h = 4/2
h = 2
k = 2² - 4(2) - 12
k = 4 - 8 - 12
k = -16
Vertex: (2,-16)
Iceberg lettuce is grown and shipped to stores for about 50 cents a head, and consumers purchase it for about 120 cents a head. Find the percent increase.
ANSWER FAST PLEASE
Final answer:
The percent increase in the price of iceberg lettuce is 140%.
Explanation:
To find the percent increase, we need to calculate the difference between the price at which iceberg lettuce is grown and shipped and the price at which consumers purchase it, and then divide that difference by the original price and multiply by 100.
Let's start by finding the difference:
Difference = Consumer price - Production price
Difference = 120 cents - 50 cents = 70 cents
Now, let's calculate the percent increase:
Percent Increase = (Difference / Production price) * 100
Percent Increase = (70 cents / 50 cents) * 100 = 140%
solve the equation x-8=3x
Answer:
x = -4
Step-by-step explanation:
x - 8 = 3x
First, subtract x from both sides:
x - 8 = 3x
-x - x
________
-8 = 2x
Then, divide both sides by 2:
-8 = 2x
-4 = x
hiya! any help is appreciated!
The triangle shown below has an area of 25 units squared. What is the missing height?
Answer:
height = 5
Step-by-step explanation:
If area = (1/2)bh, the equation would be 25 = (1/2)10h.
The first step I'd do is multiply both sides by 2 to get rid of the (1/2). So, now the equation is 50 = 10h.
Divide both sides by 10, and you get h = 5! :D
Answer:
x=5 unitsStep-by-step explanation:
Given:
A= 25
b=10
Find the height:-
[tex]\sf A=0.5\:bh[/tex]
[tex]\sf 25=0.5(10)h[/tex]
[tex]\sf 25=5h[/tex]
[tex]\sf 5h=25[/tex]
[tex]\sf \cfrac{5h}{5}=\cfrac{25}{5}[/tex]
[tex]\sf h=5[/tex]
Hope it helps!
-9
- 12 square root of 3
Answer:
b = 9
Step-by-step explanation:
A= 30° a = 3[tex]\sqrt{3x}[/tex]
B = b =
C = 90° c =
find B first
90 + 30 = 120
180 - 120 = 60
B = 60°
Now, let's find b
use the Law of Sines
[tex]\frac{sin A}{a} = \frac{sin B}{b} \\\frac{sin 30}{3\sqrt{3} } = \frac{sin 60}{b}\\b = \frac{3\sqrt{3} sin 60 }{sin 30}\\b = 9[/tex]
A farmer plants corn and soybeans. This model shows the area reserved for each.
A model with 4 rows of 5 squares that represent corn and 4 rows of 3 squares that represent soybeans. Corn is 20 acres and soybeans is 12 acres.
(sorry theirs no picture)
Which expression is equivalent to the sum of the two areas?
4(5)(3)
5(4 + 3)
4(5 + 3)
(4 + 5)(4 + 3)
Answer:
C) 4 (5+3)
Step-by-step explanation:
What is the measure of ∠ADC?
Answer:
<ADC = 131
Step-by-step explanation:
< ADC = <ADB + < BDC
The large angle is the sum of the two smaller angles.
<ADC = 89+42
=131
Answer:
131 degrees
Step-by-step explanation:
The reason for, is since <ADC is equal to < ADB + <BDC and that we already know the values of <ADB and <BDC, we can simply do
89 + 42 = 131.
So, <ADC is 131 degrees.
:)
Please help me with answer I need help now
Answer:
7 + 2, i cant see the full question so im not sure
Step-by-step explanation:
I NEED HELP PLZ!!!! It’s important!
Answer: 24x^3 sqrt5x -4x^3 sqrt10x
Step-by-step explanation:
Show in the photo attached.
Find the area of the figure shown below and type your result in the empty box.
Answer:
Area =
b1 + b2 ×h
2
=
10 + 10 × 10
2
= 100 feet2
Step-by-step explanation:
Which elevation is lowest?
-80 m
220 m
-120 m
45 m
Answer:
I think its -120m
Step-by-step explanation:
Coz negatives are less than positives
Which expression has a term with a coefficient greater than 1?
A. M - 5 x3
B. 5/6m + 3
C. 5 + m
D. 5 + 3m
Answer:
D
Step-by-step explanation:
I'm sorry, but I don't know what option A is.
However, we are asked which expression has a coefficient greater than one. A coefficient is a number in front of a variable. D is the only one with a coefficient GREATER than 1, so that is the answer.
You can tell me if I did anything wrong! :)
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answer:
sin 70= x/8
Step-by-step explanation:
Opposite of 70 degrees is x and the hypotenuse is 8.
Sin is opposite over hypotenuse
Therefore, sin 70=x/8
Mr. Falcone’s pizza shop offers three sizes of pizza. The large pizza has a diameter 12 inches. What is the area of the large pizza in terms of pi ?
Answer:
37.68
Step-by-step explanation:
12 times 3.14
hope this helps
Answer:
113.04
Step-by-step explanation:
The diameter is 12 which means the radius is 6
The formula to find the area of a circle is A=π r²
r²=36
π=3.14
3.14×36=113.04
So your answer is 113.04
factorise 4p + 6pq
step by step
answer fully please, thank you.
Answer:
2p(2+3q)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 2p2p
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2p(4p/2p + 6qp/2p)
simplify each term in parentheses.
2p(2+3q)
Your answer is 2p(2 + 3q).
First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:
2(2p + 3pq)
Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:
2p(2 + 3q)
The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.
I hope this helps!
Dominick drew a triangle on a map connecting his house, his school, and his favorite skate park. He used a scale on the map to determine that the height of the triangle that he drew represented 2 miles, and the base of the triangle that he drew represented 6 miles. What is the area of the triangle in square miles?
A triangle has points House, skate park, school. The height of the triangle is 2 miles and the base is 6 miles.
Use the formula for the area of a triangle, A = one-half b h, where A is the area of the triangle, b is the base, and h is the height.
Square miles
why is this correct idkidkidkidkidkidk
Answer:
Step-by-step explanation:
because you go with you first answer bc its going to be right