134.235 cube inches is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches.
What is volume?Volume is simply defined as the space occupied by any three-dimensional solid. These solids can be a cube, cuboid, cone, cylinder or sphere.The volume of a solid is measured in cubic units. For example, if the dimensions are given in meters, the volume is in cubic meters. It is a standard unit of volume in the International System of Units (SI). Similarly, other units of volume are cubic centimetres, cubic feet, cubic meters, etc.The formula to calculate the volume of a solid in three-dimensional space is to find the product of the dimensions. Basically, volume is equal to the product of the surface area and the height of the shape.Volume = base area x height
Radius of cylinder (r) = 1.5 inches
Height of cylinder (h) = 19 inches
Value of π = 3.14
To Find :
The volume of a cylinder.
Explanation :
Let, volume of a cylinder be "R".
We know that,
Volume of a cylinder = πr²h
[ Put the values ]
↪ R = 3.14 × (1.5)² × 19
↪ R = 3.14 × 2.25 × 19
↪ R = 7.065 × 19
↪ R = 134.235 cube inches
Therefore,
The volume of a cylinder is 134.235 cube inches.
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When calculated, the two differences given below are equal.
(2x^4-3x^3+2x+4)-(-x^4-3x^3+4x^2+x+3)
5x^4-2x^3+3x^2+3x-4
-(2x^4-2x^3+7x^2+2x-5)
-------------------------
A. True
B. False ...?
What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?
A=
B=
C=
Keywords:
Polynomial, variable, coefficients, constant term.
For this case, the first thing we must do is rewrite the polynomial in a standard way. For this, we reorder the polynomial coefficients.
The standard form of the polynomial is:
[tex]ax ^ 2 + bx + c[/tex]
Where,
a, b, c: are the coefficients of the polynomial.
x: is the variable
Rewriting the polynomial we have:
[tex]3x ^ 2-5x + 2[/tex]
Comparing with the standard form we have that the values of the coefficients are given by:
[tex]a = 3\\b = -5\\c = 2[/tex]
Answer:
The values for the coefficients and constant term are:
[tex]a = 3\\b = -5\\c = 2[/tex]
Answer:
a= 3 b= -5 c=2
Step-by-step explanation:
i just did it on edge
What is the common difference d of the sequence?
9, −8, −25, −42, −59, ...
Ms.ford is 48 and ms.lincoln is 35. how many years ago was ms.ford exactly twice as old as ms.lincoln
Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions. Using the algebraic equation we get that the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
Given-
The age of the Ms. Ford is 48.
The age of the Ms. Lincoln is 35.
What is Algebraic equation ?Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions.
Let x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln.
Thus x years ago the age of the ms. Ford was [tex](45-x)[/tex]
x years ago the age of the ms. Lincoln was [tex](35-x)[/tex].
Make a equation using the given information. As the x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln. Therefore,
[tex](48-x)=2(35-x)[/tex]
[tex]48-x=70-2x[/tex]
[tex]2x-x=70-48[/tex]
[tex]x=22[/tex]
Hence, the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
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A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?
A BOOKSTORE ORDERED 2 GROSS, 11 DOZEN AND 7 PENCILS. EXPRESS THIS NUMBER IN BASE TWELVE AND BASE TEN? ...?
Find the measure of each angle indicated.
The solutions are as follows:
11) 110 - alternate exterior angles
12) 84 - alternate interior angles
13) 80 - supplementary angles
14) 111 - alternate interior angles
15) 125 - alternate interior angles
16) 47 - alternate exterior angles
17) 53- corresponding angles
18) 113-alternate interior angles
Here, we have,
from the given figure, we get,
11) the required angle is alternate exterior angle of 110,
so, the value is 110.
12) the required angle is alternate interior angle of 84
so, the value is 84
13) the required angle is supplementary angle of 100
so, the value is 80
14) the required angle is alternate interior angle of 111
so, the value is 111
15) the required angle is alternate interior angle of 125
so, the value is 125
16) the required angle is alternate exterior angle of 47,
so, the value is 47.
17) the required angle is corresponding angle of 53
so, the value is 53.
18) the required angle is alternate interior angle of 113
so, the value is 113.
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If r = 8 units and x = 5 units, then what is the volume of the cylinder shown above?
List the sample space for rolling two dice and finding the sum of the numbers. How many 8's are there in the sample space? [Assume that rolling a 3 and a 5 is the same as rolling a 5 and a 3.]
What is substitution property of equality?
What part of the coordinate plane is equidistant from the points A(-3,2) and B(3,2)? Explain your answer.
Answer;
(0,2)
Step-by-step explanation:
Which of the following best describes the graph shown below?
A) This is the graph of a linear function
B) This is the graph of a function, but it is not one-to-one.
C) This is not the graph of a function
D) This is the graph of a one-to-one function
Answer: The answer is (B) This is the graph of a function, but it is not one-to-one.
Step-by-step explanation: We are given a graph and four options out of which we are to select the statement that best describes the given graph.
Since the graph of a linear function is a straight line, so the first option is not correct.
The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.
Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.
Therefore, the graph represents a function, but it is not one-to-one.
Thus, the correct option is (B).
A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need about 2000 m2 of area to graze. About what length (x) and width (y) should the organization use to use the LEAST amount of fencing possible?
6w-y=2z, Solve for the value of w
Rewrite 6 as a decimal number.
The prime factorization of 36 is 2^2 • 9.
True
False
Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?
A. a^2 + c^2 < b^2
B. a^2 + c^2 > b^2
C. b^2 + c^2 < a^2
D. a^2 + b^2 < c^2
For a triangle with an obtuse angle B and the longest side opposite it (side c), the correct statement is a^2 + c^2 > b^2.
The correct answer is option B.
In a triangle with sides a, b, and c, where angle B (opposite side b) is obtuse, and side c is the longest side (opposite the largest angle), we can apply the Law of Cosines. The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles:
c^2 = a^2 + b^2 - 2ab * cos(B)
Given that angle B is obtuse, cos(B) will be negative. Therefore, the term -2ab * cos(B) will subtract from the sum of a^2 + b^2. The Law of Cosines now becomes:
c^2 = a^2 + b^2 + 2ab * cos(B)
Considering the given options:
A. a^2 + c^2 < b^2 - This is not necessarily true in this context.
B. a^2 + c^2 > b^2 - This is true based on the Law of Cosines.
C. b^2 + c^2 < a^2 - This is not necessarily true in this context.
D. a^2 + b^2 < c^2 - This is not necessarily true in this context.
Therefore, from the given options the correct one is option B.
Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room. What percentage of the original number of paperclips did NOT get used?
Answer:
90% of paperclips did not get used.
Step-by-step explanation:
Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room.
We have to calculate the percentage of the original number of paperclips did not get used.
number of paperclips did not get used = 450 - 45 = 405
the percentage of 405 out of 450 = [tex]\frac{405}{450}[/tex] × 100
= 0.9 × 100
= 90%
Therefore, 90% of paperclips did not get used.
Jackie has some yellow, red, green, and blue cubes. Exactly 1/6 of the cubes are blue and 1/8 of the cubes are red. What is the number of cubes Jackie might have?
The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 ft^2.
What is the area of the garage door on the blueprint?
A. 0.55ft^2
B. 5.5ft^2
C. 11ft^2
D. 55ft^2
Answer:
option A
[tex]0.55\ ft^{2}[/tex]
Step-by-step explanation:
Let
x-------> the area of the garage door on the blueprint
y------> the area of the actual garage door
z------> scale factor
we know that
The scale factor squared is equal to the area of the garage door on the blueprint divided by the area of the actual garage door
so
[tex]z^{2}=\frac{x}{y}[/tex]
In this problem we have
[tex]z=0.05, y=220\ ft^{2}[/tex]
substitute the values and solve for x
[tex]0.05^{2}=\frac{x}{220}[/tex]
[tex]x=220(0.05^{2})[/tex]
[tex]x=0.55\ ft^{2}[/tex]
Solve for x: 2|x − 3| + 1 = 7
x = 0, x = 6
x = −1, x = 6
x = 0, x = 9
No solutions
The expression below is a sum of cubes.
125x3 + 144
A.True
B.False ...?
An expression is a sum of cubes if it can be written in form of a³ + b³, where a and b can be any constant/variables.
So, this means the given expression 125x³ + 144 can only be sum of cubes if the both the terms i.e. 125x³ and 144 are perfect cubes.
125x³ = (5x)³ . This means 125x³ is a perfect cube. However, 144 is not a perfect cube.
Hence we can conclude that the expression 125x³ + 144 is not a sum of cubes. So the answer to this question if FALSE
Estimate 24% of 33.
a) 17
b) 12
c) 8
d) 2
Which is the last operation performed when evaluating (8-2x)^2+4 for x=3
addition
multiplication
subtraction
applying the exponent
The last operation performed when evaluating (8-2x)^2+4 for x=3 is the addition operation.
Functions and valuesEquations are known to make up of variables and constants. Given the expression;
(8-2x)^2+4
If x = 3, substitute into the expression to have:
(8-2x)^2+4
= (8-2(3))^2+4
= (8 - 6)^2 + 4
Evaluate the expression in parenthesis
= 2^2 + 4
= 4 + 4
Add the resulting expression
(8-2x)^2+4 = 8
Hence the last operation performed when evaluating (8-2x)^2+4 for x=3 is addition operation
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What is the slope of a line that runs parallel to y = x + 14?
A class of 28 students. the ratio of girls of 3 girls 4 boys. what is the ratio for the number of boys to total number students in the class?
how many times does 8 go into 64
which of PQ and QR contains P
Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?
A. P
B. Q
C. T
D. U
Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?
Answer is A. ∠P
The angle that has the sine ratio, 4/5, is: A. Angle P.
What is the Sine Ratio?Sine ratio is the ratio of the opposite side over the hypotenuse of the right triangle in respect to the given reference angle.
Given, sine ratio of 4/5, then it means:
Opposite side (side directly opposite to the reference angle) = 4
Hypotenuse (longest side) = 5.
Thus, in the image given, using P as the reference angle, the sine ratio of P is:
QR/PQ = 16/20 = 4/5
Therefore, the angle with the sine ratio of 4/5 is: A. P.
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Two equations are given below:
a – 3b = 28
a = b – 2
What is the solution to the set of equations in the form (a, b)?
(–12, –10)
(–15, –13)
(–17, –15)
(–18, –16)