Note: Consider the solid object is a cylinder because the radius of base and height of the solid is given.
Given:
Radius of base = 7 cm
Height = 12 cm
To find:
The volume of the given solid.
Solution:
The volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius of the base and h is the height of the cylinder.
Putting [tex]r=7,h=12,\pi=\dfrac{22}{7}[/tex] in the above formula, we get
[tex]V=\dfrac{22}{7}\times(7)^2\times (12)[/tex]
[tex]V=22\times 7\times 12[/tex]
[tex]V=1848[/tex]
Therefore, the volume of the given solid is 1848 sq. cm.
What is the area of the parallelogram with vertices at (0,1), (-1,2), (5,4) and (6,3)?
12 square units
10 square units
8 square units
16 square units
Answer:
d 16
Step-by-step explanation:
What number is 0.1 more than 25.78
Answer:
A
Step-by-step explanation:
"More than" can be taken as "that part extra", thus, addition can be helpful. The number which is 0.1 more than 25.78 is given by Option A: 25.88
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
The number needed is 0.1 more than 25.78
When we add something to a number(some positive thing), we increase that thing and make it more than what it was before.
The expression "c is a more than b" means c = b + a
(b had to increase by 'a' to get equal to c, so c was already 'a' more than b)
The needed number will be 0.1 + 25.78 = 0.10 + 25.78 = 25.88
Thus, the number which is The number which is 0.1 more than 25.78 is given by Option A: 25.88
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What is the area in square units?
By geometric formulas, the gray square has an area of 25 square units.
How to determine the area of the gray squareSquares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:
A = l²
Where l is the length of the side of a square, in units.
All the required lengths are represented in the image attached below. First, determine the side length of the gray square:
7 + x = 12
x = 12 - 7
x = 5
The gray square has four sides with a length of 5 units.
Second, determine the area of the gray square by means of square formula:
A = x²
A = 5²
A = 25
According to area formula for squares, the area of the gray square is equal to 25 square units.
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please help I found this one a bit confusing
Answer:
C
Step-by-step explanation:
If you look closely.. You can see that one is longer than the other
If p(x) = b² - 16b +32 and q(x) = -32b-32 what values of x does p(x)=q(x)?
The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.
Given that,
The functions are p(x) = b² - 16b +32 and q(x) = -32b-32
We have to find the x value when the functions are equivalent to each other.
We know that,
Take the functions
p(x) = b² - 16b +32 and q(x) = -32b-32
When the function are equivalent
p(x) = q(x)
b² - 16b +32 = -32b-32
b² - 16b +32 +32b+32=0
b² + 16b +64 = 0
Now find the factors for 64
64 = 8×8
b² + 8b + 8b +64 = 0
Taking common terms
b(b + 8) + 8(b + 8)=0
(b + 8)(b + 8)=0
b=8
Therefore, The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.
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HELP ASAP , im stuck on what one which of the following points represents the complex number 6-3xi ?
Answer:
awser is D. I did the text
fill in the following statements with sometimes, always, or never in order to the statements true
Perfect squares NEVER be irrational numbers.
Repeating decimals will ALWAYS be rational numbers.
Irrational numbers will NEVER be able to be written as fractions.
What is a perfect square?A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.
A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.
All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.
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Complete question
Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.
Perfect squares _______be irrational numbers
Repeating decimals will_____be rational numbers
Irrational numbers will____ be able to be written as fractions
Grade 7 Imagine math i will give brainlist who ever gives me the right answers. plz help me
-9-(-12)=-9+12
=3
-9-12=-9+(-12)
=-21
Find the area of the following color regions?
Answer:
72 m²
Step-by-step explanation:
12 m × 8 m = 96 m²
(12 × 4) ÷ 2 = 24 m²
96 m² - 24 m²
72 m²
d. -(y² - 2) = y²-5-2y², solve for y
Answer:
No solution
Step-by-step explanation:
-(y² - 2) = y²-5-2y²
= y^2 - 5 - 2y^2 = - (y^2 - 2)
= -y^2 - 5 = - (y^2 - 2)
= −(y^2 − 2)
= -y^2 - 5 = -y^2 + 2
-5 = 2
We know that -5 is not equal to 2
So, there is no solution
Answer:
2
Step-by-step explanation:
becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together
Answer:
25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
Step-by-step explanation:
To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.
Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".
We know that:
The total amount of the mixture is 28 grams
The mixture is 30% protein
The first ingredient is 50% protein
The second ingredient is 25% protein
We can set up the following equations to represent the problem:
x + y = 28 (the total amount of the mixture is 28 grams)
(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)
Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:
y = 28 - x
We can substitute this into the second equation:
(0.50)x + (0.25)(28-x) = 0.30(28)
Which gives us:
0.50x + 7 - 0.25x = 8.4
And further simplifying
0.25x = 0.6
x = 2.4
Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:
y = 28 - x = 28 - 2.4 = 25.6 grams
So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
help help help help use slope form to write the equation of a line that passes through the point (7,-16) with slope 3.
required equation is, y=3x-37.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
we have to find,
the equation of a line that passes through the point (7,-16) with slope 3.
we know,
y = mx+c
i.e. -16 = 3*7+c
so, c= -37
hence, required equation is, y=3x-37.
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20x+85y=120 rate of change
Answer:
-4/17
Step-by-step explanation:
You want the slope of the line described by the equation 20x +85y = 120.
Slope
Putting the equation in slope-intercept form by solving for y gives ...
20x +85y = 120
85y = -20x +120
y = -20/85x +120/85
y = -4/17x +24/17
The slope is the coefficient of x: -4/17.
The rate of change is -4/17.
Sangeeta divide R 40000 between her two daughterRimmy and Simmi in the ratio 3:5 Find the hare of each daughter
share of rimmy and simmi is rs15000 and rs25000.
this question is of ratio and proportion, and the solution is as follows,
total amount = rs 40000
Rimmy and Simmi in the ratio = 3:5
sum of shares= 3+ 5 = 8.
so,
share of Rimmy is = 3/8 X 40000
= 120000/8
= 15000
share of simmi is = 5/8 X 40000
= 200000/8
= 25000
so the share of rimmy and simmi is rs15000 and rs25000.
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The table shows the relationship between the participants walking and running for the week's cross-country practices. Walk (laps) 3 B 15 Run (laps) 5 10 D Total (laps) A C 40 At this rate, how many laps will the participants walk if the total distance is 16 miles? How many miles will they run? They will walk 6 laps and run 10 laps for a total of 16 miles. They will walk 9 laps and run 7 laps for a total of 16 miles. They will walk 10 laps and run 6 laps for a total of 16 miles. They will walk 5 laps and run 11 laps for a total of 16 miles.
At the given rate, we can say that they will walk 6 laps and run 10 laps for a total of 16 miles.
What is a direct proportional relationship?In a direct proportional relationship, we can say that the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
For the first question, we have that out of a total distance of 8 miles, and we can see that;
Walk is 3/8 of the distance.
Run is 5/8 of the distance.
Thus, the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
We are told that the total distance is 16 miles and so;
Walked: 3/8 * 16 = 6 laps
Ran: 5/8 * 16 = 10 laps
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help me im so bad at this
Answer:
the answer would be 5/24 :)
CONVERT 5820 GRAMS TO KILOGRAMS. (1KILOGRAMS = 1000 GRAMS)
Answer:
1Kilogram=1000
5820/1000= 5.82 kilograms
Step-by-step explanation:
please mark me as brainliest if im correct
This is geometry. Please help. Will mark brainliest.
Answer:
51
Step-by-step explanation:
What does this symbol mean ∈?
A hat symbol (^) is used to represent an estimated value in regression analysis.
We know that in regression analysis, the predicted values are the y-hat values.
Here y is the output variable or dependent variable
A 'hat' symbol (^) is used to denote an estimator.
A ^ symbol is placed over the variable name to denote the estimated value.
In matrix system, a hat matrix is nothing but the projection matrix.
It projects the vector of observations, y, onto the vector of predictions, y^
We know that a vector has magnitude and direction. A ^ symbol is used is represent the direction of unit vector.
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5.55
How much smaller is the underlined number than the number to its left?
A
1
10
times
B
5
10
times
C
5 times
D
10 times
The figure below shows a diagram of a reading room. The perimeter of the reading room is 60 feet. What is the width,w, of the reading room?
Answer:
the answer is 20ft the second choice B
Please help
Find the surface area of the rectangular prism.
7in, 12in, and 2in.
Answer:
244 in^2
Step-by-step explanation:
We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.
7x2 = 212x2 = 212x7 = 2The prism has six sides, so check that whatever list you make lines up.
one side is equal to 14 in^2, so both sides have a total area 28 in^2one side is equal to 24 in^2, so both sides have a total area of 48 in^2one side is equal to 84 in^2, so both sides have a total area of 168 in^2Now we can add all this up, 28 + 48 + 168 = 244 in^2 !
Tony performs a dilation on Figure R. He uses a scale factor of 4 with a center of dilation at the orgin.
What are the coordinates of the image of vertex P?
The x- coordinate of the vertex P is -4 and the y coordinate is -3. The coordinates of the image of vertex P is thus, (-4, -3).
What are coordinates?Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.
The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.
For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).
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factor the polynomial 24x^3 - 78x^2 + 45x
Answer:
3x ( 4x-3 )( 2x - 5 )
Step-by-step explanation:
24x^3 - 78x^2 + 45x
factor out biggest common values
3x ( 8x^2 - 26x + 15 )
3x ( 4x-3 )( 2x - 5 )
What is the distance between -6 1/3 and 4 5/12
[tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
The given fractions are mixed fractions we have to convert them to improper fractions
[tex]-6\frac{1}{3}[/tex] =-17/3
[tex]4\frac{5}{12}[/tex] =53/12
Now we have to find the difference
53/12-(-17/3)
53/12+17/3
53+68/12
121/12
[tex]10\frac{1}{12}[/tex]
Hence, [tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
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How many positive two-digit integers are multiples of 5 and of 7?
The number of positive two-digit integers that are multiples of 5 and 7 are 2
What ae multiples?In mathematics, multiples are the results of multiplying an integer by a given number.
The multiples of 5 and 7 within 10 to 100 are
35 and 70
multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95
multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98
The common numbers are 2 which are 35 and 70
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What is the value of the expression 6y-12 when y=5
Plz help
Answer:
18
Step-by-step explanation:
6y-12
= 6(5) - 12
= 30 - 12
= 18
Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)
The correct relation which shows the function is,
⇒ (-6, 2), (-2, 3), (2, 7), (6, 2)
Option B is true.
What is Function?A relation between a set of inputs having one output each is called a function.
Now, We know that;
Function is a relation between a set of inputs having one output each.
So, By given options;
A. (-2, -2), (-6, -5), (2, 8), (2, 2)
Here, Two value of outputs 8, 2 have same input 2.
So, This is not a function.
B. (-6, 2), (-2, 3), (2, 7), (6, 2)
Here, A set of inputs having one output each.
So, This is function.
C. (6, -10), (-6, 7), (6, 6), (-6, 12)
Here, Two value of outputs - 10, 6 have same input 6.
So, This is not a function.
D. (-6, 0), (-2, 5), (-6, -3), (2, 9)
Here, Two value of outputs 0, -3 have same input -6.
So, This is not a function.
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what is the length x of PQ
Answer:
11.2
Step-by-step explanation:
If the rectangulars are similar then we can use similarity ratio to calculate value of x
CD is similar to RS and AB is similar to QP
4/6.4 = 7/x cross multiply expressions
4x = 44.8 divide both sides by 4
x = 11.2
How do you know what to multiply in elimination?
Answer:
See below
Step-by-step explanation:
When nether of the variable will fall out when adding together. For example:
2x + 5y = 13
-2x + 7y = 17
When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30
Now another example where the neither the x or y falls out.
x + 5y = 12
2x + 3y= 9
When I add these together, neither variable falls out.
3x + 8y = 21
BUT, if I multiply x + 5y = 12 though by -2 I get
-2x -10y = -24
Now when I add the two equation together the x's will drop out.
-2x -10y = -24
2x + 3y = 9
-7y = --15