Answer: The measure of Angle A is 46 degrees.
Step-by-step explanation:
Complementary angles are angles that when both added together are equal to 90 degrees. So the measure of angle A plus the measure of angle B is equal to 90 or 3x - 2 + 2x + 12 = 90. Add like terms so you get 5x + 10 = 90. Subtract 10 on both sides you get 5x = 80. Divide by 5 on both sides and you get x = 16. To find the measure of angle A, plug in your x value. So M<A = 3(16) - 2. Ange A is equal to 46. I double checked my answer too and plugged my x value into M<B and got 44. So indeed 44 + 46 = 90.
Need helppppp asappppp pleaseee
Step-by-step explanation:
oh, come on ! we are dealing with rectangles.
and you know how to get the perimeter and the area of a rectangle. upper elementary school students can do that.
remember, the perimeter is the distance when you walk all around the rectangle.
so, 2 times the length and 2 times the width.
and the area is simply length × width.
but your teacher was very lazy and careless with some phrasing about what is needed.
the original room is 8 ft × 3 ft.
1.
the length of border needed is exactly the perimeter.
so,
2×8 + 2×3 = 16 + 6 = 22 ft
2.
the area of the floor is
8×3 = 24 ft²
this is the amount of floor panels to be bought. we buy them in ft².
3.
the new room is (8+3) ft × (3-2) ft. = 11 ft × 1 ft.
that is a very strange room. no human can live in such a room.
I think your teacher meant (8-2) ft × (3+3) ft = 6 ft × 6 ft.
but let's stick with the original information.
the border for this room (perimeter) is
2×11 + 2×1 = 22 + 2 = 24 ft
4.
the floor area is
11 × 1 = 11 ft²
if we consider my correction of the room size, it is
6×6 = 36 ft²
5.
"difference in size" is not clear. regarding the dimensions (side lengths and correspondingly the perimeter) or regarding the floor size ?
if we consider the perimeter, the difference is
24 - 22 = 2 ft
the new room's perimeter is 2 ft less.
if we consider the floor area, the difference is
24 - 11 = 13 ft²
the new room is 13 ft² smaller.
or for my size correction, the difference is
36 - 24 = 12 ft²
the new room is then 12 ft² larger.
In a density curve, proportion of data is represented by__
A. area above the curve. B. area under the curve.
C. the shape of the curve.
D. intervals of values on the vertical axis.
E. intervals of values on the horizontal axis.
F. the length of the curve.
Option B. Area under the curve. In a density curve, the proportion of data is represented by the area under the curve.
The area under the curve represents the proportion of data points that fall within a certain range of values, and the height of the curve at any given point represents the relative frequency or density of data points at that value. The total area under the curve is equal to 1, indicating that the sum of the proportions of data points in all possible intervals is equal to 100%.
It's important to note that the total area under the curve is equal to 1, indicating that the sum of the proportions of data points in all possible intervals is equal to 100%. This means that the density curve provides a complete picture of the distribution of the data, and the shape of the curve can be used to make inferences about the distribution, such as whether it is symmetrical, skewed, bimodal, etc.
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Suman found a great sale on bracelets. With the money in her pocket, she can buy 5 bracelets and have $3 left or she could by 2 bracelets and have $9 left. Write and solve an equation to find out how much each bracelet costs.
Step-by-step explanation:
9-3 =6
So we have 6 dollars for 3 bracelets
Which means each bracelet costs 2 dollar each
So 9x-3x=6x
A rectangle’s length is three times its width, w. Its area is 243 square units. what would the equation be to find the width of the rectangle?
Answer:
3w² = 243
Step-by-step explanation:
Johnson's Farm charges a fee of $26 to enter their orchard, then charges $6 for every pound of cherries you pick. Mood's Farm does not charge customers an entry fee, but cherries picked cost $8 a pound. How many pounds of cherries would you need to pick in order to pay the same amount at each farm?
There are 11/3 pounds of cherries at Johnson's Farm in order to pay the same amount as picking 6 pounds of cherries at Mood's Farm.
In general, the unitary method is a useful tool for solving problems like this where we need to compare the cost of two different scenarios. We can set up equations based on the rates or costs involved, and then use algebra to solve for the unknown variables.
To begin, let's use a unitary method to find the total cost of picking cherries at Johnson's Farm. We know the entry fee is $26, so we can start with that. Then, for each pound of cherries picked, the cost is $6. So, if we let x be the number of pounds of cherries picked, the total cost at Johnson's Farm would be:
Total Cost = $26 + $6x
Now, let's use a unitary method to find the total cost of picking cherries at Mood's Farm. We know that there is no entry fee, so we can start with just the per-pound cost of $8. If we let y be the number of pounds of cherries picked, the total cost at Mood's Farm would be:
Total Cost = $8y
To find how many pounds of cherries you would need to pick at each farm in order to pay the same amount, we need to set these two total costs equal to each other and solve for x:
$26 + $6x = $8y
$6x = $8y - $26
x = (8/6)y - 13/3
x = (4/3)y - 13/3
So, if you picked 6 pounds of cherries at Mood's Farm (y = 6), the equivalent cost at Johnson's Farm would be:
x = (4/3)(6) - 13/3
x = 8 - 13/3
x = 11/3
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Joule Heating
Consider a metal at uniform temperature in a static uniform electric field E. An electron experiences a collision, and then, after a time t, a second collision. In the Drude model, energy is not conserved in collisions, for the mean speed of an electron emerging from a collision does not depend on the energy that the electron acquired from the field since the time of the preceding collision (assumption 4. Page 6).
(a) Show that the average energy lost to ions in the second of two collisions separated by a time t is (eEt)2 2m. (The average is over all directions in which the electron emerged from the first collision. )
(b) Show, using the result of Problem 1(b), that the average energy loss to the ions per collision is (eEt)2/m, and hence that the average loss per cubic centimeter per second is (ne2τ/m)E2=σE2. Deduce that the power loss in a wire of length L and cross section A is I2R, where I is the current flowing and R is the resistance of the wire
A) The average energy lost to ions in the second of two collisions separated by a time t is (eEt)2 2m is (1/3) (eEt)2 / m
B) The average energy loss to the ions per collision is (eEt)2/m is (ne2 / m) E2
In the Drude model, collisions between electrons and ions can cause energy loss, and this loss can be calculated using the average energy lost per collision. Specifically, if an electron experiences two collisions separated by a time t, the average energy lost to the ions in the second collision can be calculated.
We can use the formula for the energy gained by an electron in a uniform electric field: ΔE = eEt, where e is the charge of an electron, E is the electric field strength, and t is the time during which the electron experiences the field.
To do this, we can use the fact that the mean free path of an electron in a metal, before it experiences a collision, is given by λ = vτ, where v is the mean speed of the electron and τ is the average time between collisions.
The average energy lost in the second collision, over all directions of motion, is then given by:
(1/4π) ∫∫ ΔE2 (cosθ) dΩ
where θ is the angle between the direction of motion before the first collision and the direction of motion after the second collision, and dΩ is an element of solid angle. The factor (cosθ) accounts for the projection of the energy loss along the direction of motion.
After some calculations, we obtain the result:
(1/3) (eEt)2 / m
where m is the mass of an electron. This is the average energy lost to the ions in the second collision, over all possible directions of motion.
To answer part (b) of the question, we need to use the result of Problem 1(b), which states that the average time between collisions is given by τ = m/(ne2), where n is the number density of electrons in the metal. Using this formula, we can express the average energy loss per collision as:
(eEt)2 / mτ = (eEt)2 / (m^2 / ne2) = ne2 (eEt)2 / m
This is the average energy lost to the ions per collision, and we can use it to calculate the average loss per unit volume of the metal, which is given by:
(ne2 / m) E2
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After arguing for two weeks, Tony convinced his parents to have his birthday party at FlyZone trampoline park. As soon as he gets there, Tony spends time practicing flips on the trampolines. Then, he spends
3
4
of an hour eating birthday cake with his friends. In all, Tony spends 1
1
4
hours at FlyZone.
Which equation can you use to find the amount of time t Tony practices flips?
The amount of time that Nora practices flips is; t = 1 ¹/₄
How to Solve Algebra problems?
The BODMAS rule would be used to simplify the expression, BODMAS is an abbreviation for bracket, of, division, multiplication, addition and subtraction. It dictates the order in which a mathematical expression should be solved.
We are told that;
Nora spends time practicing flips on the trampolines. Let this be t.
Then, she spends 1/2 of an hour eating birthday cake with her friends.
Thus, total amount of time spent on flips and eating with her friends is;
t + ¹/₂ = 1 ³/₄
t = 1 ³/₄ - ¹/₂
t = 1 ¹/₄
Thus , the amount of time that Nora practices flips is; t = 1 ¹/₄
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Given question is incomplete , Complete Question is;
After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?
Solve this equation for (t) to find the amount of time Nora practices flips
Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement.a) 14.8mb) $10.25c) 0.05 Ld) 1.000 g/mLe) 6200cmf) 403 kg
Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e) 6200cm = 6200x cm. f) 403 kg = 40x kg.
a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.
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The expression (3^8/2)(3^8/4) can be rewritten as 3 where k is a constant. What is the value of k?
The solution of the expression for the value of k is [tex]\dfrac{8}{3^{15}}[/tex].
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
The given expression is,
[tex]\dfrac{3^8}{2}\times \dfrac{3^8}{4}\times k = 3[/tex]
The given expression will be solved as below,
[tex]\dfrac{3^8}{2}\times \dfrac{3^8}{4}\times k = 3[/tex]
Apply the properties of exponents which say that the number with the same base its exponents will be added.
[tex]\dfrac{3^{16}}{8}\times k = 3[/tex]
Now cross-multiply the number 3 by the ratio of 8 and the 3¹⁶ and solve for the value of k,
[tex]k = \dfrac{8}{3^{15}}[/tex]
Therefore, the value of k will be calculated as the ratio [tex]\dfrac{8}{3^{15}}[/tex].
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Mario has a box. He wants to determine how much the box can hold. Which measurement should he calculate?
O area
O length
O perimeter
O volume
the mean cost for a pint of strawberries is $2.20, with a standard deviation of $0.50. what is the value of the variance? a.) $0.50 b.) $1.00 c.) $1.70 d.) $0.25
The mean cost for a pint of strawberries is $2.20, with a standard deviation of $0.50. The value of the variance will be 0.25.
The variance (σ2) is a measure of how ways each value inside the information set is from the mean.
A standard deviation (or σ) is a measure of the way dispersed the records are in terms of the suggested.
The formula for standard deviation is given, the square root of variance by determining each data point's deviation relative to the mean.
Standard deviation = $0.10
Variance = (standard deviation)²
Variance = ( 0.50 )^2 = 0.25
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in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the ___________ come from a normal distribution.
The answer to the given fill in the blanks is "Residual". in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the Residual come from a normal distribution.
In linear regression, we make several assumptions about the relationship between the predictor variable and the response variable. One of these assumptions is that the residuals (the differences between the predicted values and the actual values) follow a normal distribution with a mean of zero and constant variance. To check this assumption, we can create a normal quantile plot of the residuals. A normal quantile plot is a graphical method that compares the distribution of the residuals to a normal distribution. If the residuals are normally distributed, the plot should follow a straight line. If the plot deviates from a straight line, it suggests that the residuals are not normally distributed. A non-normal distribution of residuals can have several implications, such as indicating the presence of outliers or influencing the accuracy of the model’s prediction. Therefore, checking for normality of residuals is a crucial step in evaluating the model's assumptions and determining whether the model is appropriate for the data.
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Do the points in the following set lie on the same line? (1,3) (4,2) (-2,4) Explain. Does the point (2, 3) lie on the graph of y = 3x - 4? explain
The slope between the points is same, hence the points lie on the same line. The point (2, 3) does not lie on the graph of y = 3x - 4.
What is slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The given points are, (1,3) (4,2) (-2,4):
Calculate the slope of the line formed by the points.
The slope of the line is given by:
m = (y2 - y1)/(x2 - x1)
For (1,3) (4,2):
m = (2 - 3) / (4 - 1) = -1/3
For (4,2) (-2,4):
m = (4 - 2) / (-2 - 4) = 2/ -6 = -1/3
The slope between the points is same, hence the points lie on the same line.
The equation of the graph is:
y = 3x - 4
The given point is (2, 3):
Substituting the point in the equation:
3 = 3(2) - 4
3 = 6 - 4
3 = 2
False.
Hence, the point (2, 3) does not lie on the graph of y = 3x - 4.
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the coordinates of the endpoints of ij are i(3,5) and j(17,19). point k is on ij and divides it such that ik:jk is 3:4. what are the coordinates of k?
Given that, the coordinates of the endpoints of ij are i(3,5) and j(17,19). point k is on ij and divides it such that ik:jk is 3:4.
The coordinates of the point k are (9,10)
The concept of section formula asserts that if a line segment is divided into two pieces in a certain ratio, the coordinates at the point of division may be obtained using the formula:
(mx2 + nx1)/(m+n), (my2 + ny1)/(m+n) = K
where (x1, y1) and (x2, y2) are the line segment's endpoint coordinates, and m:n is the provided ratio by which the line segment is divided.
The ends of the line segment IJ in this example are I(3,5) and J(17,19), and the ratio by which it is divided is 3:4, implying that IK:JK is 3:4.
As a result, m:n = 3:4, implying that m = 3 and n = 4.
When we enter these values into the formula, we get:
K = (3 x 17 + 4 x 3)/(3+4), (3 x 19 + 4 x 5)/(3+4)
When we simplify this expression, we get:
K = ( 51 + 12)/(7), (57 + 20)/(7)
K = (63)/(7),(77)/(7)
K = 9,10
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Serena is ordering lunch from Tony's Pizza Parlor. John told her that
when he ordered from Tony's last week, he paid $34 for two 16-inch
pizzas and two drinks. Jodi told Serena that when she ordered one
16-inch pizza and three drinks, it cost $23.
Write two equations to represent the two statements that Serena hears.
The cost of each pizza is $14 and the cost of each cool drink is $3.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, John told Serena that when he ordered from Tony's last week, he paid $34 for two 16-inch pizzas and two drinks.
Let the cost of each pizza be x and the cost of each cool drink be y.
Now, 2x+2y=34
x+y=17 -------(i)
Jodi told Serena that when she ordered one 16-inch pizza and three drinks, it cost $23.
x+3y=23 -------(ii)
Subtract equation (i) from (ii), we get
x+3y-(x+y)=23-17
2y=6
y=3
Substitute y=3 in equation (i), we get
x=14
Therefore, the cost of each pizza is $14 and the cost of each cool drink is $3.
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The angle between 0 and 2π in radians that is coterminal with the angle 55/8π in radians is
The angle between 0 and 2π in radians which is Coterminal with angle 55π/8 in radians is 39π/8 radians .
We have to find coterminal angle between 0 and 2π in radians with an angle given in radians,
The angle is "55π/8" in radians,
On simplifying ,
we get ;
⇒ 55π/8 = (55/8) × π
To find an angle coterminal with this angle between 0 and 2π, we subtract or add multiples of 2π until we get an angle in range of 0 and 2π.
So , we convert 2π to same units as our angle :
⇒ 2π = 16π/8 ;
Next, we subtract the multiples of 16π/8 until we get an angle between 0 and 2π.
⇒ (55/8)π - 16π/8 = (55-16)π/8 = 39π/8 ;
This angle is between 0 and 2π, so it is coterminal with the angle 55π/8.
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The given question is incomplete , the complete question is
The angle between 0 and 2π in radians that is coterminal with the angle 55π/8 in radians is ?
10. Find the measure of each missing angle.
Answer:
see explanation
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is
parallel to the third side
∠ 1 and 144° are same- side interior angles and sum to 180° , so
∠ 1 + 144° = 180° ( subtract 144° from both sides )
∠ 1 = 36°
----------------------
∠ 2 and 56° are corresponding angles and are congruent , so
∠ 2 = 56°
-------------------------
∠ 3 and 56° are a linear pair and sum to 180°
∠ 3 + 56° = 180° ( subtract 56° from both sides )
∠ 3 = 124°
--------------------------
the sum of the 3 angles in a triangle = 180° , then
∠ 1 + ∠ 2 + ∠ 4 = 180° , that is
36° + 56° + ∠ 4 = 180°
92° + ∠ 4 = 180° ( subtract 92° from both sides )
∠ 4 = 88°
--------------------------------
∠ 5 and ∠ 1 are corresponding angles and are congruent , so
∠ 5 = 36°
----------------------------------
Answer:
m∠1 = 36° , m∠5 = 36° , m∠4 = 88° , m∠3 = 124° , m∠2= 56°
Step-by-step explanation:
m∠1 and 144° are Co-Interior angles, or the angles which are on the same side of the transveral
m∠1 + 144° = 180°
m∠1 = 36°
angle 5 and 144° are in a linear pair-
144 °+ angle 5 = 180°
m∠5 = 36°
angle 5 + 56° + angle 4 = 180° because addition of angles of a triangle is 180°
36° + 56° + angle 4 = 180°
angle 4 = 180° - 92°
angle 4 = 88°
56° and angle 3 are in a linear pair
56° + angle 3 = 180°
angle 3 = 124°
angle 3 and angle 2 are Co-Interior angles
angle 3 + angle 2 = 180°
124° + angle 2 = 180°
angle 2 = 56°
Hope it helped and you understood it :)
x4-8x2y2+16y4-256 Factorise the equation
Answer:
it's like this the answer
Step-by-step explanation:
x⁴-8x²y²+16y²-256
(x²-8xy)²+(4y-16)²
Answer:
x⁴-8x²y²+16y²-256
(x²-8xy)²+(4y-16)²
Step-by-step explanation:
j–18≥1 Need help pls
Answer:
j≥19
hope this helpss :))
How many ways can a family of mother, father, and 3 children stand in a row if the mother and father stand at the ends of the row?
Answer:
12 ways
Step-by-step explanation:
the mother and father can either stand at the front/back or back/front respectively (2 ways)
that leaves 3 children in the middle -- there are 3 choices for the first child to go, 2 for the second, and 1 for the third = 3! = 6
6 ways for the children * 2 ways for the parents = 12 ways
observations are drawn from a bell-shaped distribution with a mean of 110 and a standard deviation of 4. a. approximately what percentage of the observations fall between 98 and 122?
The empirical rule tells us that for a normal distribution with mean μ and standard deviation σ, approximately 99.7% of the observations fall between 98 and 122.
Since the distribution is bell-shaped, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentage of observations that fall within certain ranges.
According to the empirical rule, for a normal distribution with mean μ and standard deviation σ:
About 68% of the observations fall within one standard deviation of the mean, i.e., between μ - σ and μ + σ.
About 95% of the observations fall within two standard deviations of the mean, i.e., between μ - 2σ and μ + 2σ.
About 99.7% of the observations fall within three standard deviations of the mean, i.e., between μ - 3σ and μ + 3σ.
In this case, the mean is 110 and the standard deviation is 4. Therefore:
About 68% of the observations fall between 110 - 4 = 106 and 110 + 4 = 114.
About 95% of the observations fall between 110 - 2(4) = 102 and 110 + 2(4) = 118.
About 99.7% of the observations fall between 110 - 3(4) = 98 and 110 + 3(4) = 122.
So approximately 99.7% of the observations fall between 98 and 122.
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pls help i dont know how to do it i've been out sick
the surface area of a cuboid whose 6 faces have 10cm
The surface area of a cuboid is 600 cm².
What is surface area of a cuboid?The surface area of a cuboid is the total space occupied by it. A cuboid is a six-faced three-dimensional shape in which each face is in the shape of a rectangle.
Given that, a cuboid whose 6 faces have 10 cm.
We know that, surface area of a cuboid = 2(lb+bh+hl)
= 2(10×10+10×10+10×10)
= 2(100+100+100)
= 2(300)
= 600 cm²
Therefore, the surface area of a cuboid is 600 cm².
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i need help
schoology
question1
The measure <h = 45 degree, <g= 135 degree, <h = 55 degree and
<k = 125 degree.
What is Vertical Angles?When two lines converge, vertical angles are created. Because the angles are opposite one another, vertical angles are also known as vertically opposite angles. They are constantly on par.
Given:
As, from the Figure
<h + 135 = 180 (Linear Pair)
<h = 180 - 135
<h = 45
and, <g = 135 (Vertical Opposite Angle)
Now, <m + 125 = 180 (Linear Pair)
<m = 180 - 125
<h = 55
and, <k = 125 (Vertical Opposite Angle)
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Can you please answer the question
The height of the triangular prism will be 100mm.
What is a triangular prism?The three-dimensional object has a base of triangular shape and has some height is called a triangular prism.
Given that the height and the base of the triangular shape of the triangular prism are 8 mm and 6.9 mm respectively. The volume of the prism is V = 2760 cubic mm.
The height of the triangular prism will be calculated as:-
Volume = 1/2 x b x h x H
2760 = 1/2 x 8 x 6.9 x H
H = 100 mm
Therefore, the height of the prism is 100mm.
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Somewhat urgent.
-12,1 and x,7 when m = 1/8
The value of x in the coordinates (-12,1) and (x,7), having a slope of 1/8 is 36.
What is the value of x in the coordinate?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given that;
Point 1 (-12,1)
x₁ = -12y₁ = 1Point 2 (x,7)
x₂ = xy₂ = 7Slope m = 1/8
Plug the values into the slope formula and solve for x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
1/8 = ( 7 - 1 )/( x - (-12) )
1/8 = ( 6 )/( x + 12)
Cross multiply
( x + 12) = 6 × 8
x + 12 = 48
x + 12 - 12 = 48 - 12
x = 36
Therefore, the value of x is 36.
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please help me quickly
Answer:
68 people choose meat over pork
Step-by-step explanation:
subtract 17 from 85
What is the volume of a right circular cylinder with a diameter of 10 meters and a height of 16 meters? Leave the answer in terms of π.
400π m3
1,600π m3
160π m3
1,256π m3
The volume of a right circular cylinder with a diameter of 10 meters and a height of 16 meters is 400π m³.
What is Volume?Volume is the amount of space occupied by an object in three dimensions. It is a measure of how much space is contained within a solid shape, such as a cube, sphere, or cylinder. The unit of volume can vary based on the system of measurement being used, but common units include cubic meters, cubic centimeters, liters, and gallons. Volume is calculated by multiplying the area of the base of the object by its height or depth, depending on the shape of the object.
The volume of a right circular cylinder is given by the formula V = πr²h, where V is the volume of the cylinder, r is the radius of the circular base, and h is the height of the cylinder.
In words, the volume of a right circular cylinder is equal to the area of the circular base (πr²) multiplied by the height (h). This formula holds true regardless of the dimensions of the cylinder, as long as it has a circular base and straight sides that are perpendicular to the base.
The volume of a right circular cylinder is given by the formula V = πr²h, where r is the radius of the circular base and h is the height of the cylinder.
Since the diameter of the circular base is 10 meters, the radius is half of that, or 5 meters. The height of the cylinder is 16 meters.
Substituting these values into the formula, we get:
V = π(5)²(16) = 400π
Therefore, the volume of the cylinder is 400π cubic meters.
So the answer is 400π m³.
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What is the area of this compound figure?
Answer:
199 cm²
Step-by-step explanation:
in the picture
a factor of 24 is chosen at random what is the probalility as a decimal that its a 2 digit numbers
Answer:
1/4 as fraction
0.25 as decimal
= 0.25
Step-by-step explanation:
Factors of 24 starting at 1 are:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
Then the pattern repeats in decreasing orders of products of numbers . 6 x 4, 8,x 3 etc which are duplicates of the ones shown above
Factors of 24 are:
1, 2, 3, 4, 6, 8, 12, 24
There are 8 factors
Out of the 8 factors, only two - 12 and 24 are two digit numbers
P(factor is a 2 digit number = # two-digit numbers/Total # factors
= 2/8
= 1/4
= 0.25
Answer:
1/4 as a fraction
0.25 as decimal
0.25
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