The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
What is moment of inertia?Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.
Using the formulas to calculate the moment of inertia of a solid cylinder:
I = ½MR²
Where;
I = moment (kgm²)
M = mass of object (Kg)
R = radius of object (m)
Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)
That is;
I = ½M1R1 + ½M2R2
According to the provided information;
R1 = 2.50cm = 0.025m
M1 = 0.800kg
R2 = 5.00cm = 0.05m
M2 = 1.70kg
I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)
I = (½ × 0.0005) + (½ × 0.00425)
I = (0.00025) + (0.002125)
I = 0.002375
I = 2.375 × 10-³ Kgm²
Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
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At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.
Answer:
403010
Step-by-step explanation:
Because the rate is increasead and 30% is used as well as 5.5% and the restate agency gets $383,000
What is 8C6?
O A. 10
O B. 28
O C. 14
O D. 35
Answer: B
Step-by-step explanation:
The length of the hypotenuse of a 30°–60°–90° triangle is 13. Find the perimeter.
Answer:
The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step
Step-by-step explanation:
volume of a l=10 x w=10 x h=8in triangular prism
What are geometric sequences?
The coordinates of point R are (−3, 2), and the coordinates of point T are (4, 1). What is the length of RT?
Answer: [tex]d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1[/tex]
Step-by-step explanation:
We can use the distance formula to solve.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(4--3)^2 +(1-2)^2}[/tex]
[tex]\displaystyle d=\sqrt{(4+3)^2 +(1-2)^2}[/tex]
[tex]\displaystyle d=\sqrt{(7)^2 +(-1)^2}[/tex]
[tex]\displaystyle d=\sqrt{49+1}[/tex]
[tex]\displaystyle d=\sqrt{50}[/tex]
d ≈ 7.1
Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
Answerfdf:d
fd
dffdfsd
The Cooper family drove 987.6 miles on their vacation. They drove the same number of miles each day. If the trip was 6 days, how many miles did they drive each day?
Answer:
164.6
Step-by-step explanation: i'm a human calculator
Answer:
164.6
Step-by-step explanation:
Divide 987.6 by 6 = 987.6/6= 164.6
SEE IMAGE PLEASE !!!
Answer:
A. 38
Step-by-step explanation:
Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :
90° + x° + (x +14)° = 180° [Angle Sum Property]2x + 104 = 1802x = 76x = 38Option A6 2+8×3=
btw the two is supposed to be above the 6 like if you said 6 to the second power
Answer:
60
Step-by-step explanation:
(* = multiplication symbol)
6^2+8*3
36+8*3
36+24
60
Answer:60
Step-by-step explanation:
Use bidmas
(Brackets Indices Division Multiplication Addition Subtraction)
so first do 6 squared =36
Then 8x3 =24
Then 36+24= 60
a 3. A card is pulled from a standard deck of cards.
Can you find P(queen or hearts)? (make sure you aren't double counting!!!)
Answer:
row 4 answer 6 i just took the quiz
1. Reflect triangle A across the line x = 2.
2. Write a single rule that reflects triangle A across the line x = 2.
PLEASE HELP
I only have till tomorrow midnight to turn this in
Draw a perpendicular at x=2
Now reflect each coordinates across there
(2,2)
Will remain same as x=2 is on Q1 positive side(8,4)
x coordinate=2-8=-6y coordinate=4(same)New coordinate (-6,4)
(6,8)
x coordinate=2-6=-4 y coordinate is sameNew coordinate
(-4,8)Answer:
Rule: Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.
Step-by-step explanation:
Part 1Points of Figure A:
(2, 2)
(8, 4)
(6, 8)
Draw a line at x = 2, then reflect each point across the line
(2, 2) → (2, 2)
(8, 4) → (-4, 4)
(6, 8) → (-2, 8)
Part 2Reflection in the y-axis: (x, y) → (-x, y)
As the y-values of our two figures have not changed, the first part of the rule is: reflect across the y-axis
If we reflect the figure across the y-axis, the points of the reflected figure are:
(-2, 2)
(-8, 4)
(-6, 8)
To bring the reflected figure back to where we want it (reflection in x = 2) we need to translate the figure 4 units to the right:
(-2 + 4, 2) = (2, 2)
(-8 + 4, 4) = (-4, 2)
(-6 + 4, 8) = (-2, 8)
So the final rule is:
Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
How much time will it take for an object to move 9 meters, if it moves 2 m/s? show your solution
Step-by-step explanation:
How much time will it take for an object to move 9 meters, if it moves 2 m/s?How do you find the speed of a falling object?
Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.
Answer:
4.5
Step-by-step explanation:
4.5 x 2 = 9
very simple
part A: Write the measure of each exterior angle directly on the diagram.
part b:What is the sum of the exterior angles of this pentagon?
Answer:
360°
Step-by-step explanation:
Sum of exterior angle of any polygon = 360
Sum of exterior angle of pentagon = 360
What is the area of this triangle?
Help me! I don't understand algebra.
Step-by-step explanation:
g) 6g=54
g=54/6
g=9
h) 7h=73-10
h=63/7
h=9
I) 8x-32=48
8x=48-32
x=16/8
x=2
j) 63=27+9j
63-27=9j
36/9=j
4=j
k) 101-61=4x
40/4=x
20=x
l)46=8+x-5
46=3+x
46-3=x
43=x
Hope this helps you
have a nice day
Find the area of the circles.
Answer:
200.96 square units
Step-by-step explanation:
d = 16
r = diameter ÷ 2 = 16 ÷ 2
r = 8
[tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]
= 3.14 * 8* 8
= 200.96 square units
Answer:
See Explanation!
Step-by-step explanation:
Brief History:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Solution: (Circle 1)⇒ Given :
Radius is 5Diameter is 10 (Can be known by adding the radius together.)Using the formulas
[tex]A=\pi r^{2} \\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]
[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]
Solution: (Circle 2)⇒ Given :
Diameter is 16 Radius is 8Using the formulas
[tex]A=\pi r^{2} \\\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]
[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]
10 in
12 in
6 in
8 in
Surface Area =
I need the surface area
Answer: the answer is 312in
Find the value of "x" in x² -2 = 47
Thanks :)
[tex]~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7[/tex]
four plastic bottles, each with a radius of 2 inches, are packed into a cardboard box. The glasses touch each other and the sides of the box. What is the area of the bottom of the box? (The area of a circle is equal to pi times radius squared)
The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,
[tex]\rm \text{Area of the bottom of the box} = 8 \times 8 = 64\ in^2[/tex]
Hence, the area of the bottom of the box is 64 square inches.
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What is the value of x that makes 4(2x + 22.2) = 4(x – 17.87) true?
x=4.33
X=-13.36
O
Ob
Ос
Od
X=-40.07
x=40.07
Answer:
try youre best to complete youre succsess
The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price. Please help!
Answer:
20%
Step-by-step explanation:
old selling price = $720
new selling price = 720 x (1 - 30%) = 720 x 70% = $504
cost = $420
markup = (504 - 420)/ 420 = 84/420 = 20%
Which of the following risk factors should be considered when choosing a form of investment for your money? Select all that apply.
interest rate
rate of Return
risk
term of investment
The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk
What is investment?
Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.
While making an investment the investment consider:
Rate of inflation, it affects the value of the return.Investment History, it indicates the level of risk. Interest rate, it will show the real profit to be made.level of risk because if it is high, the potential loss will be higher.
So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk
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The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
The two dot plots show the number of goals per game. The data for each is taken from a random sample within a soccer league over a 1-month period. Complete the statements below. Goals Scored in English League A dot plot.
Answer:
first blank is 3
second blank is 2.5
last blank is 0.5
Step-by-step explanation:
Answer: Look at the attachment
3
2.5
0.5
Step-by-step explanation:
8 sandwiches cost £18.40
Find the cost of 5 sandwiches.
Answer:
11.5
because
8 18.40
5 ?
5×18.40=92
92÷8=11.5
Answer:
£11.50
Step-by-step explanation:
Well to solve this equation you must divide the total cost of the 8 sandwhiches by 18.40
18.40 divided by 8 is 2.30
So that means the cost per sandwhich is £2.30
Then all you have to do is multiply 2.30 by 5
2.30 divided by 5 is 11.50
So the cost of 5 sandwiches would be £11.50
2yx^0/x^4
Simplify. I give Brainliest,.
Answer:
2y/x^4
Step-by-step explanation:
Apply the exponent rule: a^0 = 1, assuming a [tex]\neq[/tex] 0
Hence,
x^0 = 1
2y * 1/x^4
Multiply 2 and 1
2*1 = 2
= 2y/x^4
WILL MARK AS BRAINIEST
14
43
Use a unit multiplier to convert 965 centimeters to meters.
a
Answer:
9.65 meters
Step-by-step explanation:
965 cm * 1 m / 100 cm = 9.65 m
Answer:
by multiplying the numbers
What is the slope below?? Please answer quickly! Due tonight.
