The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
If the diameter of a circle is 80m, then what is the radius of the circle
Answer:
40m
Step-by-step explanation:
Radius is half of diameter
Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equation represents the relationship between x, the number of monthly payments Darron has made, and y, the total amount he has paid?
A. y= 50x + 300
B. y= -50x + 300
C. x= 50y + 300
D. y= 50x – 300
Answer:
A
x=months y=total payment
vote brainliest
please please please help
Answer:
See below.
Step-by-step explanation:
Slope of parallel line is -3/2.
Slope of perpendicular line is 2/3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answer:
its
Step-by-step explanation:
i cant explane
convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210
Answer: A. 21,120
Step-by-step explanation: Good luck! :D
describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
.......... .. ........ I..
Which of the following is true of the data set represented by the box plot?
box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
The greatest value in the set is 79.
The data is evenly distributed throughout the middle half.
The data has an IQR of 45.
Removing the outliers would not affect the median.
Answer:
D. Removing all the outliers would not effect the median
Step-by-step explanation:
Among the choices provided above the one that is true of the data set represented by the box plot is Removing the outliers would not affect the median.
(credits to
Maddycolgrove and Answer Expert Verified Brainly User)
Can yall pls help with this
Answer:
x=7
Step-by-step explanation:
HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)
9514 1404 393
Answer:
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VStep-by-step explanation:
The following angles are equivalent:
Q = U = 45°
R = T = W = 225°
S = V = 90°
X = 135°
Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.
So, the true angle statements are ...
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠Vquestion : fine the location of points a after a translation of 9 units up? Can someone please help me ?
Answer:
(-1,3)
Step-by-step explanation:
count 9 up
Answer: -1,3 not sure
Step-by-step explanation:
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
What are the solutions to 3n-1> 8 or 4n+3 < -1 ?
how would you write it in interval notation?
HELP ASAPPP PLZZZ
Step-by-step explanation:
3n - 1 > 8 or 4n + 3 < -1
3n > 9 or 4n < -4
n > 3 or n < -1
Solution set: (-∞, -1) U (3, ∞).
) What are the solutions of -1<=x-3<4 ?
What is the value of the expression 3x2 – 2y, if x - -2 and y = -4. 0 20 52 O-8 02
Answer:
I think the answer is 20....I'm so sorry if that is wrong :[
The given expression at {x} = - 2 and {y} = -4 evaluates to 20.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the expression -
3x² - 2y
The given equation is -
3x² - 2y
For {x} = - 2 and {y} = -4, we can evaluate the expression as -
3(-2)² - 2(-4)
3 x - 2 x - 2 - 2 x - 4
3 x 4 + 8
20
Therefore, the given expression at {x} = - 2 and {y} = -4 evaluates to 20.
To solve more questions on functions, visit the link below-
brainly.com/question/30194223
#SPJ7
Help please, will mark you brainliest (Only if the answer is correct)
Answer:take numbers first, the Lcm is 24
Consider x, the highest power is 2
y, the highest power is 3
and z has 2 as its highest power.
:. The lcm is 24 x^2y^3z^2
Step-by-step explanation:
Answer:
this is me with another account, adding another anser just to mark you brainliest lol
Step-by-step explanation:
(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?
Answer:6 units
Step-by-step explanation:
Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.
Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
What is a power function and what restrictions does it have?
Answer:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
Step-by-step explanation:
Help pls yall i will give brainliest
Answer:
B.
Step-by-step explanation:
Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4
Answer:
C
Step-by-step explanation:
24/80 expressed as percent rounded to the nearest whole number is?
Answer:
0.3
Step-by-step explanation:
3/10
3x10^-1
help me out? please !
Answer:
trapezoid
Step-by-step explanation:
Please helppp meeeeeeeeeeeeeeeseseeedeeeeeee
Answer:
The solution x > 10 can be represented in two ways such as:
Interval Notation: (10, ∞)Inequality Notation: x > 10Step-by-step explanation:
Let 'x' be the solution to the inequality
From the given line, it is clear that
x > 10
It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.
From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.
The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.
Thus, the solution x > 10 can be represented in two ways such as:
Interval Notation: (10, ∞)Inequality Notation: x > 10Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
Please help me lol!!!!!!
Answer:
A
Step-by-step explanation:
Algerba 1 (polynomials) plss help
Answer:
Step-by-step explanation:
the coefficient is the number that is multiplied by x² so is 17
the constant term is the one without any x ( it does not change when x changes) so is -13
Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6
Answer:y=12
Step-by-step explanation:
Answer:
y=12
Step-by-step explanation:
i hope it was helpful