The angular velocity of the ladybug is the same as the angular velocity of
the record.
Correct responses (approximate values):
a) 3.875 rad/s
b) 31 cm/s
c) 527 cm
Methods used for the calculationsThe rate at which the record is spinning = 37 rpm
Location of the ladybug on the record = 8 cm from the center
a) The angular velocity of the ladybug is given as follows;
1 revolution = 2·π radians
1 minute = 60 seconds
Therefore;
[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]
The angular velocity of the ladybug, ω ≈ 3.875 rad/secb) Linear speed, v = Radius, r × Angular speed, ω
The radius with the ladybug rotates, r = 8 cm
Angular velocity of the ladybug = ω ≈ 3.875 rad/s
Therefore;
The speed of the ladybug, v = 8 cm × 3.875 rad/s ≈ 31 cm/sc) Distance, d = Speed, v × Time, t
After 17 seconds, we have;
The distance travelled by the ladybug, d = 31 cm/s × 17 s = 527 cmLearn more about angular velocity here:
https://brainly.com/question/14370151
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C.
Given:
The equation is
[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]
To find:
The length of the line segment AC.
Solution:
We have,
[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]
[tex]1.428148=\dfrac{15}{b}[/tex]
Multiply both sides by b.
[tex]1.428148b=15[/tex]
Divide both sides by 1.428148.
[tex]b=\dfrac{15}{1.428148}[/tex]
[tex]b=10.50311[/tex]
[tex]b\approx 10.503[/tex]
In a triangle ABC, the line of line segment AC is b. So,
[tex]AC\approx 10.503[/tex]
Therefore, the length of the line segment AC is 10.503 units.
Algebraic Simplification
Solve
1. (5a- 6b) + (4a +8b)
2.pqr+pqr-2qrs+5qrs-3pqr
(Need step by step explanation)
Answer:
[tex] \boxed{ \tt{1. \: \: 9a + 2b}}[/tex]
[tex] \boxed{ \tt{2. \: \: 2pqr + 3qrs - 3pqr}}[/tex]
Step-by-step explanation:
[tex] \tt{1. \: \: (5a - 6b) + (4a + 8b)}[/tex]
Remove the unnecessary parentheses :
⇾ [tex] \tt{5a - 6b + 4a + 8b}[/tex]
Combine like terms. Like terms are those which have the same base { For instance : In the term 4a , a is the base }. Also remember that : Only coefficients of like terms can be added or subtracted.
⇾ [tex] \tt{5a + 4a - 6b + 8b}[/tex]
⇾ [tex] \tt{9a + 2b}[/tex]
[tex] \tt{2. \: \: pqr + pqr - 2qrs + 5qrs - 3pqr}[/tex]
Combine like terms :
⇾ [tex] \tt{2pqr + 3qrs - 3pqr}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
1. (5a-6b) + (4a+8b)
= (5a + 4a) + (8b - 6b)
=9a + 2b
2. pqr+pqr-2qrs+5qrs-3pqr
= 2pqr-3qrs-3pqr
= -3qrs-pqr
Step-by-step explanation:
have a great day
Please help please...
Answer:
In step one, -8 - 2 should result in -10, not -6.
Figure ABCD is a rhombus.What is the value of x? 13 14 26 28
Answer:
The answer is 13
Step-by-step explanation:
Took the test on Edge
Answer:
x=13 :)
I took the quiz
please help this is my final
help pls2sssssssssssssssssssss
260
52
50
150
Answer:
52
Step-by-step explanation:
what the answer to 8/575
Answer:
71•8
Step-by-step explanation:
8/575
using long division method
the answer is
71•8
What is 78 divided by 23
Answer:
≈3.4
Step-by-step explanation:
Answer:
3 and 9/23
you could easily just leave it as 78/23
Simplify the radical
Answer:
[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]
The radius of the circle on a basketball court is 6 ft. What are the approximate circumference and area of the circle?
ANSWER:
Circumference= 37.7
Area= 113.1
5. -2 = p - 1
Help me pleaseee
what percent is 52.8 of 55? also how did u get itttt
Answer:
The answer is 96%.
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 55 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 55, so we can write it down as 100%=55.
4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.
5. Now we have two simple equations:
1) 100%=55
2) x%=52.8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=55/52.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 52.8 is what percent of 55
100%/x%=55/52.8
(100/x)*x=(55/52.8)*x - we multiply both sides of the equation by x
100=1.0416666666667*x - we divide both sides of the equation by (1.0416666666667) to get x
100/1.0416666666667=x
96=x
x=96
now we have:
52.8 is 96% of 55
Write an expression for the perimeter of a square of side 5y
convert these sums into decimal.
(a) (b)
3 13
--- ----
5 20
(c) (d)
13 8
----- -----
125 25
Use < >, or = to compare the following decimals.
(a) 0.91
0.98
D
D>
(b) 9.07 [ 9.3
?.
(c) 0,90 [ 0.9
Answer:
0.32, 0.45, 0.76.
Step-by-step explanation:
so first you would use your < >,= signs and compare all of them until you have eliminated ALL but one (so 0.91<0.98 this is because 0.98 is close to 1 whole than 0.91) and you would continue this explanation for so on
What is the value of
5/6 divided by 3/4
00:00
Select all the numbers that are irrational.
6.7234724...
315
8
-0.25
✓7
17
36
Answer:
6.7234724... ; ✓7
Step-by-step explanation:
In the most simplest of terms, we can explain irrational numbers as numbers which cannot be expressed as a ratio of two integers usually because they cannot give an exact value when evaluated.
Using the values given :
6.7234724... - - >This is an irrational number because the '...' depicts that the values are unending and as such an exact expression in the form of a ratio (p/q) cannot be determined.
315, 26, 17, 8 - - - > Is a rational number, it could be express in ratio form as : 315/1. 315 is an integer and all integers are rational.
-0.25 - - > it could be expressed as - 1 /4. Hence it is a rational number.
✓7 - irrational as the simplification gives : 2.6457513...
The midsegment of a trapezoid is a segment whose _____ are the midpoints of the legs of a trapezoid.
Answer:Joints
Step-by-step explanation:
It is likely the joining point so it is so help ful
A persons weekly pay directly proportional to the number of hours worked on Spee is $123.00 for 20 hours of work. Find amount of pay for 31 hours of work.
Answer:
$190.65
Step-by-step explanation:
123.00/20=6.15 per hour
6.15x31hours worked = $190.65
PLEASE HELP!! ILL MARK BRAINLIEST THANKS!!
Answer:
2985984
Hope this helps
Eight members of the Paw Pets Club are going to the zoo. Admission is $6.25 per person. What will be the total cost of admission?
A.
$1.28
B.
$14.25
C.
$50.00
D.
$62.50
Answer:
$50.00 because you do 6.25 times 8.
Step-by-step explanation:
Hope this helps you! :)
Square WXYZ has coordinates W(-4, 5), X(-1, 5), Y(-1, 8), and Z(-4, 8). If the square is translated 1 unit left and 1 unit up, what are the coordinates of W'?
Answer:
it would be (-5,6) your welcome
43x+2 = 64 + 455 - 766
43x+2=64+455−766
Step 1: Simplify both sides of the equation.
43x+2=64+455−766
43x+2=64+455+−766
43x+2=(64+455+−766)(Combine Like Terms)
43x+2=−247
43x+2=−247
Step 2: Subtract 2 from both sides.
43x+2−2=−247−2
43x=−249
Step 3: Divide both sides by 43.
43x /43 = −249 /43
x = −249 /43
Answer:
x = −249 /43
Answer:
x = −249 /43
Step-by-step explanation:
please give other person brainliest
I think I got this wrong I need help
Answer:
I think 3/4 will be the answer if you let
(-5 2) =(x1 y1)
(3 8) =( x2 y2)
y1-y2/x2-x2
8-2/3+5
6/8
3/4
7x + 8 > 4x + 4
Give your answer as an improper fraction in its simplest form.
Answer:
hope this is helpful to you
I need help with this one plz.
Answer:
c⁶/d²
Step-by-step explanation:
a⁻ⁿ = 1/aⁿ
So :
c⁶d⁻² = c⁶/d²
oi oi oi help me please
Answer:
It is impossible for us to answer that question as we weren't provided with a text to analyze.
Step-by-step explanation:
3x + 4y = 9
-3x - 2y = -3
Answer: x=−1 and y=3
Step-by-step explanation:
PLEASE HELP ME IT IS DUE NOW
Answer: X is 3 here. Haven't done this math (don't know how to graph) but I found x so it should be hard from here :)
Good Luck
=)
A quadratic equation is shown below
9x^2-36x+36=0
A Determine the radicand discriminat... the number under the radical sign tell how many solutions this equation has and indicate how you know based on the radicand show your work
B solve 2x^2-9x+7 for using x an appropriate method show the steps of your work
9514 1404 393
Answer:
A. d = 0 -- one (1) solution
B. x = {1, 3.5}
Step-by-step explanation:
A. The discriminant for ax²+bx+c = 0 is ...
d = b² -4ac
For the given equation, this is ...
d = (-36)² -4(9)(36) = 0
The discriminant is zero (0).
The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.
__
B. The equation can be factored as ...
2x² -9x +7 = (2x -7)(x -1) = 0
The solutions are the values of x that make the factors be zero:
2x -7 = 0 ⇒ x = 7/2
x -1 = 0 ⇒ x = 1
The solutions are x = 7/2 or x = 1.