The height of the cylinder whose volume has been given above would be = 50cm
How to calculate the height of a cylinder?The volume of a cylinder can be calculated with the formula = πr²h
Where Volume = 157cm³
radius = 1 cm
height = X cm
π = 3.14
That is, 157 = 3.14 × 1² × X
make X the subject of formula;
X = 157 /3.14
X = 50cm
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Solve for X
This was on a Geometry Honors quiz
The value of x in the triangle is 8 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, the sides x of the triangle can be found using proportion as follows:
x / x + 8 = x + 8 / 32
cross multiply
32x = (x + 8)(x + 8)
32x = x² + 8x + 8x + 64
x² + 16x - 32x + 64 = 0
x² - 16x + 64 = 0
Therefore,
x² - 16x + 64 = 0
x² - 8x - 8x + 64 = 0
x(x - 8) - 8(x - 8) = 0
(x - 8)(x - 8) = 0
Therefore,
x = 8
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Write an equivalent expression in expanded form. Please help this is on a test and i am running out of time!!!!
The equivalent expression in expanded form of given function is -4x/4-4*3/4.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We are given;
The expression of the function
=-1/4(-8x+12)
Now, to expand we take 4 common
=-1/4(-8x+12)
=-4/4(-1x+3)
=-4x/4-4*3/4
Therefore, the expression in expanded form will be -4x/4-4*3/4
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Use substitution to solve
3x-2y=3
y=6+4x
Please explain how you got the answer
substitute y
3x - 2(6 + 4x) = 3
3x - 12 -8x = 3
-5x - 12 = 3
- 5x = 15
x = -3
an art teacher hhd 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers hhd paint in them including the one that was partially filled
Answer: 6 containers
Step-by-step explanation:
Fraction division.
2/3 divided by 1/8.
Keep-change-flip. (or a similar method for dividing fractions)
2/3 times 8/1 is 16/3.
He will fill 5 and 1/3 containers, so 6 containers will have paint in them.
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Hope this helps.
MM4343
Please help, its due today, ill give brainliest
Answer: bro just look it up fr fr
Step-by-step explanation:
risol buys a souvenir cup for $14.97
d a book of postcards for $4.32. How
ch does Marisol spend?
Answer:
$19.29
Step-by-step explanation:
We know
Marisol buys a souvenir cup for $14.97 and a book of postcards for $4.32.
How much does Marisol spend?
14.97 + 4.32 = $19.29
So. Marisol spend $19.29
what is the probability of drawing a black card in a standard deck of 52 cards? (enter your probability as a fraction.)
The probability of drawing a black card in a standard deck of 52 cards is 1/2.
Probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1. There are total 52 cards out of which 26 are black cards and 26 are red cards.
There are 26 black cards (13 spades and 13 clubs) in a standard deck of 52 cards.
Therefore, the probability of drawing a black card from a standard deck of 52 cards is 26/52.
Probability = 26/52 = 1/2
So, the probability of drawing a black card is 1/2.
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Write a real-world situation and an algebraic expression that is represented by the bar diagram:
The expression is there are 2 chocolates and 5 lollypops having a total cost of $5. The expression is 2C + 5L = $5.
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.
Suppose the real-time situation is if there are 2 chocolates and 5 lollypops having a total cost of $5.
The mathematical form of the expression can be written as:-
2C + 5L = 5
Here, C is the cost per chocolate and L is the cost of per Lollypop.
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The complete question is given below.
Write the expression if there are 2 chocolates and 5 lollypops having a total cost of $5.
In the previous problem, how does the angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building? a. they are congruentb. they are complementaryc. they are supplementaryd. they are alternate interior anglese. they are alternate exterior anglesf. they are corresponding angles
The angle of depression from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.
The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.
If the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too.
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Pls help me fast fast
The sum of the measures of angles A, D, and F is:
A + D + F = 360°
How to find the sum of the 3 angles?First, we know that the sum of the interior angles of any triangle is always equal to 180°, then we can write:
B + C + E = 180°
We also can see that:
A + B = 180°
C + D = 180°
E + F = 180°
Then we can rewrite:
E = 180° - F
C = 180° - D
B = 180° - A
And replace that on the equation above:
B + C + E = 180°
( 180° - F) + (180° - D) + (180° - A) = 180°
Moving the variables to the right side we will get:
3*180° = 180° + A + D + F
3*180° - 180° = A + D + F
360° = A + D + F
That is the sum of the 3 measures.
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which of the following points lies on the line 2x - y =12
a. (2,4)
b. (4,4)
c. (5,-2)
d. (0,12)
Answer:
C
Step-by-step explanation:
Plug (5, -2) into the equation
2(5) - (-2) =
10 + 2 =
12
C is the answer
(5, -2) is the answer
Solve for X and Y using substitution
y=5x-7
-3x-2y=-12
Answer:
So the solution to the system of equations is (x,y) = (3,-2).
Step-by-step explanation:
To solve for x and y using substitution, we can first substitute y=-2 into the second equation to find the value of x, and then use that to find y.
Starting with the second equation:
4x - 3(-2) = 18
Expanding the -3(-2) using the distributive property:
4x + 6 = 18
Subtracting 6 from both sides:
4x = 12
Dividing both sides by 4:
x = 3
Now that we have x = 3, we can substitute that back into the first equation to find y:
y = -2
So the solution to the system of equations is (x,y) = (3,-2).
place the following scores in a frequency distribution table. based on the frequencies, what is the shape of the distribution? 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15
The frequency table is:-
Data Frequency
10 1
11 2
12 2
13 4
14 6
15 5
What is a frequency table?The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.
The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15
The frequency table can be written as:-
Data Frequency
10 1
11 2
12 2
13 4
14 6
15 5
The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.
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can ypu please answer this question
Answer: A=71°
Step-by-step explanation:
A+B+C=180°
A+38°+C=180°
A+C=180°-38°
A+C=142°
142°/2=71°
∴A=71°
∴C=71°
Jerome hiked three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles
per hour?
2 mile per hour
I
b. 1 miles per hour
C.
mile per hour
d. 1 miles per hour
Answer as a mixed number = 1 1/8 mph
Answer as a decimal = 1.125 mph
Work Shown:
(3/4) of a mile : (2/3) of an hour
12*(3/4) of a mile : 12*(2/3) of an hour
9 miles : 8 hours
9/8 miles : 8/8 hours
1.125 miles : 1 hour
His speed is 1.125 miles per hour. This converts to the mixed number 1 1/8
Mr. Kazoo is planning to build a fence
gate 40 inches wide. He plans to use
boards 7 inches wide. How many
1
2
boards should he buy?
The number of boards Mr.Kazoo should buy is given by the equation A = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of boards Mr.Kazoo should buy be A
The total length of the board = 40 inches
The length of each board = 7 inches
So , the number of boards = total length / length of each board
Substituting the values in the equation , we get
The number of boards A = 40 / 7
The number of boards A = 5.71
The number of boards A = 6 boards
Hence , the number of boards is 6
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1. there are 15 boys and 17 girls in a math class. what is the ratio of boys to girls? (6.rp.1) * 15:17 15:32 17:15 32:15
If there are 15 boys and 17 girls in a math class then, the ratio of boys to girls is Option A. 15:17
The ratio of boys to girls in the math class is 15:17. This can be found by dividing the number of boys by the number of girls, which gives:
15/17
This ratio cannot be simplified because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls is 15:17.
The ratio of boys to girls in a math class is the relationship between the number of boys and the number of girls. The ratio is a way of expressing the comparison between two quantities. In this case, there are 15 boys and 17 girls in the class. To find the ratio of boys to girls, we divide the number of boys by the number of girls, which gives 15/17. This ratio cannot be simplified further because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls in the math class is 15:17. This means that for every 15 boys in the class, there are 17 girls.
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12, x, y, 324, 972, find the sum of x and y (a) 144 (b) 52 (c) 75 (d) 109
Answer: The value of the sum of x and y is (a) 144.
Step-by-step explanation:
Given, The sequence is a Geometric Sequence.
Initially,
=> 4x3 , x , y , 324, 324x3
=> 4x3, x, y, 4x3x3x3x3, 4x3x3x3x3x3
From above,
We can deduce that,
=> x = 4 x 3 x 3
=> x = 36
Also,
=> y = 4 x 3 x 3 x 3
=> y = 108
The values of x and y are 36 and 108
Now, We can evaluate the sum of x and y,
=> x + y = 36 + 108
=> x + y = 144
Therefore, The sum of x and y is 144. Hence, option (a) is correct.
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A colored spinner with eight equal sections is given.
spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow
Using the fair spinner, determine P(less than 4) when the spinner is spun once.
0.125
0.25
0.375
0.5
The probability using the fair spinner to get P less than 4 is 3/8.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
The total sections = 8.
The probability of less than 4 is:
P(less than 4) = Number of outcomes less than 4/ Total sections
P(less than 4) = 3/8
Hence, the probability using the fair spinner to get P less than 4 is 3/8.
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Answer: ITS 0.25!
Step-by-step explanation: i took the test
Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.
The equation of the line of the best fit for the data will be, y=2.07x-7.5.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The equation of the line is;
y=mx+c
y=2.07x-7.5
Hence, the equation of the line of the best fit will be, y=2.07x-7.5
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2 Gallons of Juice for $4.50. How much per Gallon?
Answer: 2.25 per gallon
Step-by-step explanation:
4.50 divided by 2 = 2.25
help me please i actually cant do this
Answer:
a: Angle 1 and Angle 3
b: Angle 8 and Angle 5
c: Angle 2 and Angle 9
d: Angle 5 and Angle 3
e: none of the above
The Grade 8 learners decided to start living more healthily.They will either jog or cycle.there are 125 Grade 8 learners and they jog and cycle in the ratio 3:2.calculate how many learners participate in each sport
Answer:
We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.
The total number of learners who jog and cycle is 125, so:
x + 2x = 125
3x = 125
x = 125 / 3
x = 41.67
Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.
Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.
The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.
Solution:
Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x
Given,
3x + 2x = 125
5x = 125
So, x = 25
Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50
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What number would correctly replace the G?
Shape ABCD is a rectangle.
C is the point with coordinates (0,-8)
The equation of the straight line through A and B is 2y + x = 4.
Find the equations of the lines
DC, AD and BC.
Answer:
c
Step-by-step explanation:
trust me
Other than itself, which angle is congruent to
WE CAN USE THE GRAPH THAG CA HELP US IN THE PROBLEM
PLEASE HELP 20 POINTS
Turning 180° counterclockwise is essentially the same thing as a horizontal flip about the y axis.
That means C will find itself on the opposite side of the x axis, with negative inputs. However, it is still above the x axis, so it will have a positive y coordinate.
Your answer should be (-3,1)
given: jg/hg=kg/ig, 1=2
prove: ef || hi
The triangles ΔIGH and ΔGFE are similar triangles. So, GJ / GE = HG / FG, then the side FE is parallel to the side HI.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the corresponding sides will be constant then the triangles will be similar triangles and the third sides of the triangles will be parallel.
GJ / GH = GK / GI, then the side KJ is parallel to the side HI.
In triangles ΔIGH and ΔGFE, then we have
∠IGH = ∠FGE (Vertival angle)
∠1 = ∠2 (Given)
Then the triangles ΔIGH and ΔGFE are similar triangles. Then we have
GJ / GE = HG / FG, then the side FE is parallel to the side HI.
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(b) a telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 6 to 13. what is the probability of a successful call? (round your answer to two decimal places.)
Probability of a successful call 0.3157 = 31.57%
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 6 to 13.
This means that in 6+13 = 19 calls, 6 are successful.
What is the probability of a successful call?
p = 6/19 =
0.3157 = 31.57% probability of a successful call.
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Whitney prepared 16 kilograms of dough after working 4 hours. How much dough did
Whitney prepare if she worked for 5 hours? Assume the relationship is directly proportional.
Answer:
Step-by-step explanation:
time take for 1 dough = 16kg/4hours= 4kg/hour
Dough in 5 hours = 4 x 5 = 20
She prepared 20kilograms of dough in 5 hours
