A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?
Answer:
[tex]V=376.9911184feet per minute[/tex]
Step-by-step explanation:
From the question we are told that
60-foot diameter
3 revolutions per minute
a)Generally angular speed can mathematically be given is given as
[tex]W=2\pi f[/tex]
[tex]W=2*\pi*3[/tex]
[tex]W=6*\pi[/tex]
[tex]W=18.84955592[/tex]
b)Generally linear speed is mathematically given as
[tex]V=\omega r[/tex]
[tex]V=6\pi *30[/tex]
[tex]V=120*\pi[/tex]
[tex]V=376.9911184feet per minute[/tex]
4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.
Answer:
B because that is how you do substitution and all of the other ones do not make sense
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
7 yd
11 yd
4 yd
8 yd
The area of the shaded region is 60 square units.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To find the area of the shaded region, we need to subtract the area of the rectangular region that was removed from the larger rectangular region.
The area of the larger rectangle is:
11 x 8 = 88
The area of the rectangle that was removed is:
7 x 4 = 28
So, the area of the shaded region is:
88 - 28 = 60
Therefore, the area of the shaded region is 60 square units.
Learn more about Area here:
https://brainly.com/question/27683633
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Factor( special patterns): 36x^2-84x+49
Answer:
(6x - 7) (6x - 7)
Step-by-step explanation:
A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).
[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).
So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).
what is the distance between (-1, 2) and (3, 5)
Answer
the slope is 3/4 or .75
Answer:
The distance is 5 units.
Step-by-step explanation:
Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition
1) We are given 2 points --> (-1,2) and (3,5)
2) To find out the distance between both, we use distance formula.
This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].
3) For the points (-1,2) and (3,5):
-1 is x12 is y13 is x25 is y24) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]
5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]
6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]
7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.
Therefore, the distance between the 2 points is 5 units.
Hope you understood and have a nice day!! :D
I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)
Answer:
1. 15+5i
2. 3+4i
3. 3+i
4. 30
Step-by-step explanation:
A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?
Answer:
can we go to bed first
Step-by-step explanation:
then i will check your speed
Answer:
27°
Step-by-step explanation:
A = ab sinC / 2
50 = 10 * 22 * SinC / 2
sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455
C = 27°
What is the area of a rectangle with a base of 7 cm and a height of 11 cm
Answer: 77
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y=-5x+1
Step-by-step explanation:
First lets identify what slope intercept form looks like:
y=mx+b
m=slope
b=y-intercept
the y-intercept would be at (0,1)
choose 2 points from the graph and lets find the slope.
The formula for slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]
The points we will be using will be (1,-4) and (2,-9)
so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]
2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]
set up the equation.
[tex]\frac{-9-(-4)}{2-1}[/tex]
[tex]\frac{-5}{1}[/tex]
m = -5
So the slope is -5 and the y-intercept is 1
[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]
So the equation will be
y=-5x+1
Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,
I've included a picture so you have a visual.
If you need further assistance, don't be afraid to reach out. Hope this helps!
Evaluate y=5x+7, for x=3.
when 832 is divided by n, the result is 16
If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made
Answer:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Step-by-step explanation:
If there are 30 boys and 15 girls in the room
We have :
Boys : Girls
30 : 15
a) 30 : 15
Dividing through by 3
= 10:5
b) 30 : 15
Dividing through by 5
= 6:3
c) 30 : 15
Dividing through by 15
= 2:1
Hence:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
is 3.254 rational or irrational
x-15/5=4
what is x in this equation?
Answer: is 7 an answer choice ?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x-15/5=4
x-3=4
x=4+3
x=7
Quadrilateral JKLM is graphed in the coordinate plane. Under which transformation
would the image of JKLM be similar to JKLM?
9514 1404 393
Answer:
A
Step-by-step explanation:
Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.
The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.
please help, can't understand.
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
How much interest would you pay on a $12000 loan at 5% for 6 years
Answer:
Interest=$3600
Step-by-step explanation:
I = P * r * x * t
Where:
P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....year(s) time periods.
So, t is 6....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:
The interest is: $3600.00
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 12000.00 + 3600.00 = 15600.00. For example:
If you borrowed the $12000.00, you would now owe $15600.00
If you loaned someone $12000.00, you would now be due $15600.00
If owned something, like a $12000.00 bond, it would be worth $15600.00 now.
Jim rolls a fair dice 36 times. How many times would Jim expect to roll a three?
Answer:
6
Step-by-step explanation:
36/6=6
if it is a fair dice it will be even
Answer:
I think it's 6 but I'm not sure
Step-by-step explanation:
36:6=6
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
what is 3x2 + 5x - x2 - 2x + 3 simplifyed completely
Answer:
2x^2+3x+3
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP 1
The Equation at the end of step 1
(3x2 + 5x) - x2) - 2x) + 3
STEP 2
Trying to factor by splitting the middle term
2.1 Factoring 2x2+3x+3
The first term is, 2x2 its coefficient is 2.
The middle term is, +3x its coefficient is 3.
The last term, "the constant", is +3
Step-1: Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2: Find two factors of 6 whose sum equals the coefficient of the middle term, which is 3.
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5
3 + 2 = 5
6 + 1 = 7
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
Final result :
2x^2 + 3x + 3
Hope this helps!
Brain-List?
Help will mark brainlist.
1=
2=
3=
4=
I need help quick I’ll give extra point to who ever answers
Answer:
1 = c
2 = b
3 = d
4 = d
5 = a
Step-by-step explanation:
1) 3x-4>17
2) 3x-4<17
3) 3x-4<=17
4) 3x-4<=17
5) 3x-4>=17
Answer:
Step-by-step explanation:
What is f 2/9 + 9 1/9?
Answer:
28/3 or 9.3333
Step-by-step explanation:
2/9 + 82/9= 28/3
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?
Answer:
The answer is $1512.
Step-by-step explanation:
First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.
Find the 64th term of the arithmetic sequence 33, 25, 17, 9?
Answer: -467
I sure but not so sure but hoped it helped
Step-by-step explanation:
It’s decrease by 8 so do the formula
an= a + d(n−1).
Joe is running after Bob. In a minute Joe does 60 steps, which makes up 3/16 of the number of steps, which Bob does in a minute. The length of Bob's step is 25 cm which makes up 5/24 the length of joe's step. With what speed do Bob and Joe run with what speed does the distance between them change? what will it become in 10 minutes, if right now bob is in front of joe by ten meters?
Joe is going with a speed of ____
cm per minute. Bob is going with a speed of ____
cm per minute. The distance between them changes with ____
cm per minute. The distance will become _____
cm in 10 minutes. _____
Answer:
Joe is going with a speed of 7200
cm per minute. Bob is going with a speed of 8000
cm per minute. The distance between them change with 800
cm per minute. The distance will become 9000
cm in 10 minutes
Answer:
7200 8000 800 and 9000
Step-by-step explanation:
L
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
i will breann list yuo
Answer:
D. 4/9 and 0.4 repeated
Step-by-step explanation:
4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages
Answer:
Think the answer is 1292928
Step-by-step explanation:
Hope this helped have an amazing day/month/year!