Answers
The statement which best describes the resulting three-dimensional figure is:
A cylinder with a base radius of 14 cm.Step-by-step explanation:We know that when a rectangle is rotated about a line then the resulting figure so obtained is a cylinder.
Hence, the three dimensional figure will be a cylinder.Also, the breadth of the rectangle will be the radius of the cylinder.
Here the perimeter of the rectangle is: 76 cm.
Also the length of the rectangle is: 24 cm.
Let b be the breadth of the rectangle.
We know that the perimeter of rectangle is given by the formula:
[tex]Perimeter=2(l+b)[/tex]
where l is the length of the rectangle and b is the breadth of the rectangle.
Here we have: l=24 cm
Hence,
[tex]76=2(24+b)\\\\i.e.\\\\24+b=\dfrac{76}{2}\\\\i.e.\\\\24+b=38\\\\i.e.\\\\b=38-24\\\\i.e.\\\\b=14\ cm[/tex]
Hence, the radius of the cylinder is: 14 cm.
Related Questions
How much is 2.1x 82
Answers
172.2
I hope this answer was helpful! :)
172.2 is your answer
hope this helps
I need help on this problem
Answers
3x°+46°+(2x-1°)=180°(angle sum of △)
5x+45=180°
5x=180°-45
x=135÷5
x=27
x is 27
put x into angle B,we have
2(27)-1
=53
thus angleB is 53°
hope it helps c:
With that knowledge, we can set up an equation that lets us solve for x based on our given angles by setting their sum equal to 180.
[tex]3x+(2x-1)+46=180\\5x+45=180\\5x=135\\x=27[/tex]
To find ∠B, we simply substitute the x for 27:
[tex]2x-1=2(27)-1=54-1=53[/tex]
So, m∠B = 53°.
Are θ = πn and θ= π+ πn equivalent?
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One has an extra π in the equation.
9.086 minus 2.419 rounded to the nearest one
Answers
- 2.419=6.665
Rounded would be 7
A 6-pack carton of sport drink bottles at the local grocery store is labeled as 13.48 oz. What is the weight of the carton rounded to the nearest tenth of an ounce?
A. 13.0 oz.
B. 13.2 oz.
C. 13.5 oz.
D. 14.0 oz.
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compare 249 and 271. write the greater number in word form
Answers
Answer:
two hundred seventy-one
Step-by-step explanation:
Given: Two numbers 249 and 271.
To find: Word form of the greater number.
Solution:
We have two numbers 249 and 271.
To find the greater number, we need to compare the two numbers.
To compare the two numbers first of all we will compare the hundreds digit.
The hundreds digit of both the numbers is same that is 2.
Now, we will compare the tens digit of the two numbers.
The tens digit of the number 249 is 4 and the tens digit of the number 271 is 7.
As 7 is greater than 4.
271 is greater than 249.
Now, the word form of 271 is two hundred seventy-one.
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent?
Select all that apply.
18 × 104
-0.00018
0.00018
1800
1.8 × 10-4
WILL MARK BEST ANSWER!
Answers
Answer:
0.00018 and 1.8 × 10-4
Step-by-step explanation:
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.
1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.
So, the correct answers are :
0.00018 and 1.8 × 10-4
1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]
Keith uses 18 cherries and 3 peaches to make a pie filling. Lena uses an equivalent ratio of cherries to peaches when she makes pie filling. Can Lena use a ratio of 21 cherries to 6 peaches?
Answers
Answer:
No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.
Step-by-step explanation:
We are given the following in the question:
Keith uses 18 cherries and 3 peaches to make a pie filling
We find the ratio of number of cherries to number of peaches in the pie.
Equivalent Ratio =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]
This ration can be interpreted as:
There are 6 cherries in the pie for every 1 peach in the pie.
We have to check whether Lena can use a ratio of 21 cherries to 6 peaches.
Lena's ratio of number of cherries to number of peaches in the pie =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]
No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.
Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.
An equation is
It will take _ hours to reach −1°F.
Answers
To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.
Explanation:To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.
The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.
To solve the equation, we can first subtract 35 from both sides to isolate -4x. This gives us: -4x = -36.Next, we can divide both sides of the equation by -4 to solve for x. This gives us: x = -36 / -4 = 9.So, it will take 9 hours to reach -1°F starting from 1:00 p.m.
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A computer programmer charges $45 an hour for coding projects plus a start up fee of $150.
Write an equation in standard form to represent the total cost t of a project that takes h hours.
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Sine 150 is a one-time fee and the 45, you are paying for each hour.
An equation in standard form is C(t) = 150 + 45t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. Let t be the time in hours then we can construct an equation as C(t) = 150 + 45t
Hence, An equation in standard form representing the information is C(t) = 150 + 45t
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Sara watched the pump at the gas station dispense gas at a rate of ½ gallon every 3 ¼ seconds. How long will it take, in seconds, to put 50 gallons of gas in the RV? Justify your reasoning by using the UNIT RATE
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How many 6-ounce cups can be filled from 4 gallons of juice? Hint 1 gallon = 128 ounces
Answers
128/6= 21.33 cups
4x21.33= 85 cups
85 cups can be filled from 4 gallons of juice
How do the values of the digit 2 in the number 222.222 change for each place value
Answers
Is this a lCM or GCF
Answers
Answer:
This is greatest common factor.
Step-by-step explanation:
It said,”What is the greatest number of baskets?
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.
Answers
The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.
Explanation:This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.
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which of the following cannot be classified as a substance a. table salt b. air c. nitrogen d. gold
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Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.
Explanation:The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:
Table salt (sodium chloride) is a compound, thus it is a substance.Nitrogen is an element, making it a substance as well.Gold is also an element, so it is a substance.Air, however, is a mixture of many gases, primarily nitrogen, oxygen, and other trace gases, and therefore cannot be considered a substance since its composition can vary.Based on these classifications, air is the one that cannot be classified as a substance.
Carla has $1000 in a Bank account. Each year she gets 50% interest on the total money in her bank account. How much will she have in her account after the end of 3 years
Answers
Use properties of addition and subtraction to evaluate the expression. −57−14−23 Enter your answer in the box.
Answers
I don’t know for sure though
Answer:
-94
Step-by-step explanation:
-57-14= -71
-71-23= -94
Subtract using the number line.
−113−16
−1 5/6
−1 1/2
−1 1/6
1 1/2
Answers
The value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
Given,
-1 1/3 - 1/6
We need to find the value.
What is a fraction?A fraction contains two parts:
Numerator and denominator.
Fraction = Numerator / Denominator
How do subtract fractions?Example:
2/3 - 2/4
We will find the LCM of 3 and 4.
= (2x4 - 2x3) / 12
= (8 - 6) / 12
= 2 / 12
= 1/6
How to convert a fraction into a mixed fraction?Example:
b/a
a x m + n = b
= [tex]m\frac{n}{a}[/tex]
Find -1 1/3 - 1/6
We can write -1 1/3 as:
= - 4/3
Now,
-4/3 - 1/6
=( -4x2 - 1) / 6
= (-8 - 1 ) / 6
= -9 / 6
= -3x3 / 3x2
= -3/2
Converting into a mixed fraction.
= -1 [tex]\frac{1}{2}[/tex]
Thus the value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
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7/9 has how many 1/3's in it? How do you solve this ? Thanks
Answers
To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.
Explanation:To solve this problem, we need to divide 7/9 by 1/3.
Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.
We can also simplify this fraction to the lowest terms, which is 7/3.
josie has $47 left on her checking account.If she writes a check for $55 ,what will josies balance be?
Answers
She then writes a check for $55 and give it away.
47-55=-8.
Her balance will be $-8
How long will it take you to bike 225 miles at a speed of 15 miles per hour?
Answers
The time taken by the bile to cover 225 miles will be 15 hours.
What is velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Given that bike covers a distance of 225 miles with a speed of 15 miles per hour.
The time will be calculated as below:-
Velocity = Distance / Time
15 = 225 / Time
Time = 225 / 15
Time = 15 hours
Therefore, the time taken by the bile to cover 225 miles will be 15 hours.
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jim is at his house, and his car has 25 miles until it runs out of gas. would jim be able to make it from his house to the grocery store and back without stopping for gas? explain.
Answers
Answer:
No
Step-by-step explanation:
It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
a² + b² = c²
5² + 12² =
√169
c = 13
13 + 13 = 26 , He will not make it to to and back.
(I have this question as well so I already have the coordinate plane)
Jim would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that jim is at his house, and his car has 25 miles until it runs out of gas.
We need to check whether jim be able to make it from his house to the grocery store and back without stopping for gas.
This we can find by using Pythagoras theorem.
a² + b² = c²
5² + 12² =√169
c = 13
13 + 13 = 26 ,
Hence, It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
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What number is shown on the graph ?
Answers
Answer:
B
Step-by-step explanation:
[tex]\sqrt{20}[/tex] = 4.47
4.47 + 2 = 6.47
I need to know what the term 8 means or represents in this expression
Answers
3x+8
Step 1: Subtract 8 from both sides.
3x+8−8=0−8
3x=−8
Step 2: Divide both sides by 3.
3x3=−83
x=−83
Answer:
x=−83
There were 360 pumpkins in a pumpkin patch, but it was difficult for Farmer Joe to find the Perfect pumpkin. Every third pumpkin was too small. Every fourth pumpkin was too green. Every fifth pumpkin had a broken stem. Every sixth pumpkin had the wrong shape. How many perfect pumpkins did Farmer Joe find in the pumpkin patch?
Answers
Caroline has 4 green cards, 3 red cars, 3 orange cards, and 1 gold card. if she discards the gold card, what percent of her remaining cards are red?
Answers
so that is 30% are red
After discarding the gold card, Caroline has 10 cards left. Since 3 of these are red, the percentage of red cards is 30%.
Explanation:To find the percent of the remaining cards that are red after Caroline discards the gold card, we must first determine the total number of cards left. Caroline initially has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card, totalling to 11 cards. If she discards the gold card, she is left with 10 cards.
Now, since there are 3 red cards out of the 10 remaining cards, to find the percentage of red cards, we perform the following calculation:
Divide the number of red cards by the total number of remaining cards: 3 red cards / 10 remaining cards = 0.3.Convert the decimal to a percentage by multiplying by 100: 0.3 \(\times\) 100 = 30%.Therefore, 30% of Caroline's remaining cards are red.
Eduardo counted 10 seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and hearing thunder, about how far away was the lightning
Answers
Eduardo used the time difference between seeing lightning and hearing thunder to determine the distance of the lightning. Given that sound travels a mile every five seconds, the second lightning was 0.8 miles away, based on a time difference of 4 seconds.
Explanation:Eduardo is using a method to measure the distance of lightning by noting the time difference between the visible flash of light and the audible sound of thunder. The speed of light is much faster than the speed of sound, which is why we see lightning before we hear thunder. This method works because it is known that sound travels approximately one mile every five seconds.
So, in Eduardo's first observation, he counted 10 seconds between seeing the lightning and hearing thunder. Given that sound travels a mile every five seconds, the lightning was 10 seconds/5 = 2 miles away.
In the second observation, he counted four seconds between the flash and the thunder. Using the same calculation, this means the lightning was 4 seconds/5 = .8 miles away. This is in agreement with the given information.
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1.1 1 1/10 and 1.101 least to greatest
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Hope this helps.
Which is the most accurate way to estimate 25% of 69?