The radius of the cylinder is 2.26 ft
How to calculate the radius of the cylinder?
The cylinder has a volume of 400 cubic feet
The height of the cylinder is 25 feet
The radius of the cylinder can be calculated as follows
radius= √ v/πh
= √ 400/(3.142)(25)
√ 400/ 78.55
= √ 5.09
= 2.26
Hence the radius of the cylinder is 2.26 ft
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A skilled mason is tiling the floor of 10 m long and 5 m wide room by square tiles of side 0. 5 m at the rate of ₹ 6 per tile
200 tiles are required to cover the floor. The cost of tiling at the rate of $7 per tile is ₹ 1200.
A competent mason is installing square tiles with a side of 0. 5 m on the floor of a room that is 10 m long and 5 m broad at a cost of ₹ 6 for each tile.
The entire floor space that has to be tiled is:
Area
= length x width
= 10m x 5m
= 50 square meters
An area of each square tile is:
Area of a square tile
= side x side
= 0.5m x 0.5m
= 0.25 square meters
In order to tile the floor, the following total number of tiles is needed:
Total number of tiles
= Area / Area of a square tile
= 50 / 0.25 = 200
The total cost of tiling the floor at the rate of ₹ 6 per tile is:
Total cost
= Total number of tiles x Cost per tile
= 200 x ₹ 6
= ₹ 1200
So, to tile the floor of the 10m long by 5m broad room with square tiles with a 0.5m side, the professional mason will demand ₹ 1200.
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Question- A floor of the room 10 m long and 5 m wide is to be covered by square tiles. If each square tile is 0.5 m, find the number of tiles required to cover the floor. Also, find the cost of tiling at the rate of ₹ 6 per tile.
Match the numbers with the correct label.
The value of a is 0.14, b is 0.2 and c is 0.33.
What is Number Line?The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.
Given:
The number a and b lies between 0/4 and 1/4. (0 and 0.25).
We have the numbers is 0.2, 0.333 (3/9) and 0.14 (1/7).
So, the value of a can be 0.14
and, value of b is 0.2.
and, the value of c is 0.33.
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Yesterday the temperature was 15 degrees celsius. Today the temperature is 0 degrees Celsius. What is the change in temperature from yesterday to today
The change in temperature from yesterday to today is -15 degrees Celsius.
What is subtraction?Subtraction is a mathematical operation that involves finding the difference between two numbers. In other words, it's the process of removing one number from another number. For example, if you have two numbers, 5 and 3, and you want to find their difference, you would subtract the smaller number (3) from the larger number (5), resulting in the answer of 2. The symbol for subtraction is a minus sign (-). So, the subtraction of 3 from 5 can be written as 5 - 3 = 2.
Here,
The calculation is as follows:
Change in temperature = Today's temperature - Yesterday's temperature
Change in temperature = 0 degrees Celsius - 15 degrees Celsius
Change in temperature = -15 degrees Celsius
The temperature has dropped by -15 degrees Celsius from yesterday to today.
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Angelique had 20
20
tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left.
Angelique wrote the expression 3(20−t)
3
(
20
-
t
)
to find the number of tokens she has now, where t
t
is the number of tokens she lost.
Dante correctly wrote another expression, 60−3t
60
-
3
t
, to find the number of tokens Angelique has now.
Use the drop-down menus to explain what each part of Angelique's and Dante's expressions mean.
The meaning of each of the expressions Dante constructed is illustrated below.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Angelique had 20 tokens to use for games at the arcade.
After she lost 't' amount of tokens the remaining number of tokens became
20 - t.
After his father tripled the number of tokens it became 3(20 - t).
Dante distributed the terms 3(20 - t) and get the remaining number of tokens after his father tripled the number of tokens is 60 - 3t.
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Find the perimeter of △CBH if △CBH~△FEH, ADEG is a parallelogram, CH=7, FH=10, FE=11, and EH=6. Express your answer as a decimal, if necessary.
The perimeter of triangle ΔCBH found using the relationship between similar triangles, ΔCBH, and ΔFEH is 18.9
What are similar triangles?Similar triangles are triangles that have the same shape and interior angles and between which the ratio of their corresponding sides are equivalent.
The specified parameters are;
The triangles ΔCBH and ΔFEH are similar, ΔCBH ~ ΔFEH
The alternate interior angles theorem indicates that we get;
∠BCH is congruent to ∠EFH and ∠CBH is congruent to ∠FEH
Vertical angles theorem, indicates that we get;
∠CHB ≅ ∠FHE
The ratio of the corresponding sides formed between similar triangles are equivalent, therefore, we get;
CH/FH = BH/EH
7/10 = BH/6
BH = 6 × (7/10) = 4.2
BH = 4.2
CH/FH = BC/EF
7/10 = BC/11
BC = 11 × 7/10 = 7.7
BC = 7.7
The perimeter of the triangle ΔCBH = BC + BH + CH
Therefore, the perimeter of ΔCBH = 7.7 + 4.2 + 7 = 18.9
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find the 6th term of the geometric sequence whose common ratio 1/3 and whose first term is 4
Answer:
a6 = 4/243
Step-by-step explanation:
We can represent the geometric sequence with [tex]a_n=4(\frac{1}{3})^{n-1}[/tex], so the 6th term would be [tex]a_6=4(\frac{1}{3})^{6-1}=\frac{4}{243}[/tex].
What are rations equivalent to 5:3 ( can not be 10:6)
Answer: 20:12
Step-by-step explanation:
Answer:
15:9
Step-by-step explanation:
multiply both by 3,4,5,6,7,8,9,etc.
What is forty-seven and seven tenths minus twenty-three and nineteen hundredths? and give an answer as a decimal(step by step pls)
Forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.
To find the difference between forty-seven and seven tenths (47.7) and twenty-three and nineteen hundredths (23.19), we can simply subtract the two numbers using the standard subtraction method for decimals. Here are the steps:
1. Line up the decimals:
47.70
-23.19
2. Subtract the hundredths place: 0 - 9 = -9. Since we can't have a negative number in the hundredth place, we need to borrow 1 from the tenths place. So, 10 - 9 = 1.
3. Subtract the tenths place: 6 (after borrowing) - 1 = 5.
4. Subtract the ones place: 7 - 3 = 4.
5. Subtract the tens place: 4 - 2 = 2.
So, the final answer is 24.51.
Therefore, forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.
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Sierra is trying to decide whether her to rent an apartment for $1,200 per month or take out a mortgage for $1, 395 per month. After how many months will the difference in total cost be $48, 750 if the rent does not go up in price?
-150 months
-200 months
-300 months
-250 months
Step-by-step explanation:
the difference is
1395 - 1200 = $195
how many months until that sums up to $48 750 ?
by checking how often $195 fit into $48,750 :
48750 / 195 = 250
so, it will take 250 months to reach that level.
What is the value of 20 milliliters in tablespoons?
The volume unit milliliter (mL) can be converted to tablespoon (tbsp). One tablespoon is equal to 15 milliliters, so 20 milliliters is equal to 1.333 tablespoons
. This conversion can be done by dividing 20 milliliters by 15 milliliters to get the exact number of tablespoons. The formula for this conversion is:Tablespoons = Milliliters ÷ 15 .The calculation for 20 milliliters is as follows: Tablespoons = 20 mL ÷ 15 .Tablespoons = 1.333 tbsp.Therefore, 20 milliliters is equal to 1.333 tablespoons. To convert other volumes of milliliters to tablespoons, you can use the same formula and calculation. For example, if you want to convert 30 milliliters to tablespoons, you would use the formula: Tablespoons = Milliliters ÷ 15 Then calculate: Tablespoons = 30 mL ÷ 15 Tablespoons = 2 tbsp,In conclusion, the conversion of milliliters to tablespoons can be done using the formula: Tablespoons = Milliliters ÷ 15. When using this formula, the number of tablespoons is calculated by dividing the volume of milliliters by 15. For example, 20 milliliters is equal to 1.333 tablespoons and 30 milliliters is equal to 2 tablespoons.
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HELP ASAP PLEASE!!!!!
Answer:
Step-by-step explanation:
2a) [tex]y=2(1.2^{x})[/tex] where x is the amount of lies he told
2b) His nose will be approximately 76.68 inches long after telling 20 lies
2c) No, No.
:]
Answer:
2a) where x is the amount of lies he told
2b) His nose will be approximately 76.68 inches long after telling 20 lies
2c) No, No.
Step-by-step explanation:
Can someone Help please
since the triangles are equivalent we can set both the equations with an equal sign
2x-15=x+15
solve for x
2x-x=15+15
x=30
plug in x into 2x-15 to get an angle of triangle ABC
2(30)-15
x=45
then to get the last angle of triangle ABC we do
180-(90+45)
= 45
to get the other triangle's (DFE) angles we plug in x again
into
x+15
45+15= 60
to get the last angle we do
180-(90+60)
= 30
if a data set is skewed to the left, how will the mean and median compare?
If a data set is skewed to the left, meaning that it has a long tail to the left (lower values), then the mean will be lower than the median. The median is less sensitive to outliers than mean.
In a data set that is skewed to the left, the mean will be less than the median. The term "skewed to the left" or "negative skewed" refers to the fact that the distribution of the data has a longer tail on the left side (towards smaller values) than on the right side.
When a data set is skewed to the left, it means that there are more lower values than higher values. As a result, the median (which is the middle value) will be larger than the mean (which is the average of all the values). The mean will be pulled down towards the lower values, making it smaller than the median.
For example, consider the following data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The mean of this data set is 5.5, while the median is 5.5. However, if we add several low values to the data set, it will become skewed to the left: 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10.
The mean of this data set is now 4.5, while the median is still 5.5. The mean has moved towards the lower values, making it smaller than the median.
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Help please I’m stuck on a question and I’d greatly appreciate it
Answer: I think that the unknown measure is 22.
Step-by-step explanation: The bottom and height combined is the value of the longer line.
In 1997 the World Resources Institute estimated the world's proven oil reserves to be 1,000 billion barrels and the ultimately recoverable reserves to be 2,000 billion barrels..
Year Consumption(million barrels per day
1997 74
At the 1997 rate of consumption about how long will the estimated 2,000 billion barrels of oil last?
The proved oil reserves in the globe were projected to be 1,000 billion barrels by the World Resources Institute in 1997, while the eventually recoverable reserves were predicted to be 2,000 billion barrels. 75 years old
The World Resources Institute (WRI) has offices abroad in Brazil, China, India, Indonesia, Mexico, and the United States. The organization's goal is to advance human health and wellbeing, economic opportunity, and environmental sustainability. WRI collaborates with regional and federal governments, private businesses, publicly traded firms, and other non-profit organizations to provide services addressing challenges such as the global climate change, sustainable markets, ecosystem protection, and environmentally conscious governance. Since the first of October 2008, WRI has maintained a Charity Navigator rating of 4 out of 4.
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What are the properties of Laplace transform table?
The Laplace transform table contains properties and formulas for common transforms, as well as the inverse Laplace transform and the shift theorem. It also includes properties such as linearity, scaling, and time shifting.
The Laplace transform table is an important tool for solving linear differential equations. It contains information about common transformations and their associated formulas, as well as the inverse Laplace transform and the shift theorem. The table also includes properties such as linearity, scaling, and time shifting. Linearity states that if a function f(t) is a linear combination of two functions f1(t) and f2(t), then its Laplace transform F(s) is the sum of the Laplace transforms of f1(t) and f2(t). Scaling states that if a function f(t) is multiplied by constant k, then its Laplace transform F(s) is divided by k. Time shifting states that if a function f(t) is shifted by x units in time, then its Laplace transform F(s) is multiplied by [tex]e^(-sx)[/tex]. These properties can be used to simplify Laplace transforms and to solve linear differential equations. The Laplace transform table is a useful tool for engineers and physicists who use linear differential equations in their work.
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If you flip a coin 2 times, what is the best prediction possible for the number of times it will land on tails?
The probability that it would have to land on tails is 1
How to solve for the probabilityThe coin is known to have two sides.
The two sides of a coin are the head and the tail
the probability of head is given as 50 percent
The probability of tail is also given as 50 percent
Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as
2 * 50 percent
= 2 * 0.5
= 1
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1. Write these percentages as common fractions in simplest form: a)75%
You only showed one btw.
75%=3/4
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
If we know that percentages are fractions of 100, we know that 75% is equivalent to [tex]\frac{75}{100}[/tex].
Simplifying [tex]\frac{75}{100}[/tex]:
[tex]\frac{75}{100}[/tex] = [tex]\frac{3}{4}[/tex]Therefore, 75% as a simplified fraction is [tex]\frac{3}{4}[/tex].
The scale factor of Triangle A to triangle B is 1:2 1/2
If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.
More specifically, it means that for any given pair of corresponding sides of Triangle A and Triangle B, the length of the side in Triangle B is twice as long as the length of the corresponding side in Triangle A.
For example, if Triangle A has sides of length 3, 4, and 5 units, and Triangle B is similar to Triangle A with a scale factor of 1:2, then the corresponding sides of Triangle B will have lengths of 6, 8, and 10 units.
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Han bought a scooter for $3,200. In 5 years, the value of the scooter will depreciate by 65%. What will the value of the scooter be after 5 years?
The required value of the scooter after 5 years will be $1,120.
What is Percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, if there are 20 students in a class and 5 of them are boys, the percentage of boys in the class can be calculated as follows:
Percentage of boys = (Number of boys / Total number of students) x 100%
According to question:After 5 years, the scooter will depreciate by 65%, which means its value will be reduced to 35% of its original value.
35% of $3,200 = 0.35 x $3,200 = $1,120
Therefore, the value of the scooter after 5 years will be $1,120.
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PLEASE HELP ASAP‼️‼️‼️Are the sides proportional?
Set up each ratio of sides and determine if they are equal
ratios. Show all of your work.
3.61 cm
R
44°
S
11.97 cm
9.71 cm
IS
N
T
17.955 cm
14.565 cm
121°
44°
M
L
5.415 cm
The side lengths form a proportional relationship, and the ratios are;
17.955/11.97 = 14.565/9.71 = 5.415/3.61.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
First is Congruent angle measures, then Proportional side lengths.
Here, the triangles are similar, because they have the same angle measures.
17.955/11.97 = 14.565/9.71
= 5.415/3.61.
Thus, the side lengths form a proportional relationship, have a ratio of 1.5.
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What are the Applications of Differentiation of Trigonometric Functions?
Differentiation of trigonometric functions has wide-ranging applications in many fields, including physics, engineering, finance, and signal processing. It is used to calculate rates of change, solve optimization problems, model signals, analyze experimental errors, and more.
The applications of differentiation of trigonometric functions are wide-ranging and can be found in many fields, including science, engineering, and finance. Some specific applications of differentiation of trigonometric functions include:
1. Calculating rates of change: In physics, the rates of change of trigonometric functions (such as the velocity and acceleration of a moving object) can be calculated using differentiation.
2. Optimization problems: In engineering and other fields, optimization problems involving trigonometric functions (such as finding the maximum or minimum value of a function) can be solved using differentiation.
3. Signal processing: In electrical engineering and telecommunications, trigonometric functions are used to model signals and their derivatives are used to calculate signal properties such as frequency and amplitude.
4. Financial mathematics: In finance, trigonometric functions can be used to model interest rates and other financial phenomena, and differentiation can be used to calculate financial derivatives such as options.
5. Error analysis: In scientific research, differentiation can be used to analyze experimental errors and estimate uncertainties in measurements.
These are just a few examples of the many applications of differentiation of trigonometric functions. The use of trigonometric functions and their derivatives is widespread and plays a critical role in many fields of study.
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Shelby needs the total
weight of her suitcase to be
under 50 lbs. Currently,
Shelby's suitcase weighs
42.5 lbs. How many more
pounds can Shelby pack in
her suitcase and still stay
within her limit?
A circular table has a diameter of 3 feet. What is the circumference of the table to the nearest tenth? (Use 3.14 for π) Remember the formula for circumference of a circle is C=πd
The circumference of the table is 9.42 feet
What is circumference?The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
For a example a circular ball with diameter 7 cm will have a circumference of 44cm
The circumference of a circle is expressed as:
C = πd
C = 3.14 ×3
C = 9.42 feet
Therefore the circumference of the table is 9.42 feet.
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help please i don’t understand this
Answer:
1. dotted
2. solid
3. dotted
Step-by-step explanation:
dotted-- "greater than" or "less than"
solid-- "greater than" or equal " or "less than or equal"
p.s.---- i think of it as if the line is under the symbol then the line is solid, if there is no lie under the symbol then it is dotted
please mark brainliest
Ali purshacsed a coat that costs 38$ sales tax was 4.5% of the purchase price how much did Ali pay in sales tax
The amount ali paid in tax is $1.71.
How to measure the rate of change of something as some other value changes?
Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
We are given that;
Cost of coat=$38
Rate= 4.5%
Now,
To find out how much Ali paid in sales tax, we need to multiply the purchase price by the sales tax rate:
Sales tax amount = Purchase price x Sales tax rate
Sales tax rate = 4.5% = 0.045 (in decimal form)
Purchase price = $38
Sales tax amount = $38 x 0.045 = $1.71
Therefore, by the given rate Ali paid $1.71 in sales tax.
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Nathan and his best friend found money under the couch they split the money seven evenly each getting $6.86 how much money did they find write an expression
(I ignored the seven, I'm sorry if I'm wrong.)
6.86x2
6.86x2=13.72
13.72$
if a recipe calls for 4 cups of milk, how many fluid ounces are used?
The required number of fluid ounces used are calculated to be 32 fluid ounces.
A fluid ounce has a liquid capacity of 1/16 of a US liquid pint or 1/128 of a US gallon in the US system and 1/20 of a pint or 1/160 of an Imperial gallon in the imperial system.
In each cup, there are known to be 8 fluid ounces.
A recipe is said to be made up of 4 cups of milk.
The total number of fluid ounces used are to be calculated.
1 cup → 8 fluid ounces
4 cups → 4 × 8 = 32 fluid ounces
Thus, the required number of fluid ounces used are calculated to be 32 fluid ounces.
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2.51
4
124°
Find the area
of the given Trapezium
Answer:
A = ( a + b ) 2 × h .
Step-by-step explanation:
A=*124+b)2×h
7.
A
В
70°
E
85
959х950
15
85
?
C
Solve for the indicated angle or arc
Answer:
BC = 100°
Step-by-step explanation:
You want the measure of arc BC formed by two chords that intersect at 85° and intercept an opposite arc of 70°.
Angle at crossing chordsThe angle formed by crossing chords is the average of the angles they intercept. Here, that means ...
85° = (? +70°)/2 . . . . the crossing angle is 85°
170° = ? +70° . . . . . . multiply by 2
100° = ? . . . . . . . . . subtract 70°
The intercepted arc BC is 100°.