Answer:
Arc length = 54.85mm
Step-by-step explanation:
360/32 = 11.25
11.25 * 559 = 6288.75
6288.75 * 3.14 = 19746.675
19746.675/ 360 = 54.851875
Rounded to the nearest hundredth
Arc length = 54.85mm
The length of the arc is 54.9mm
Data given;
diameter = 559mm, r = d/2 = 279.5mmnumber of spokes = 32π = 3.14To solve this question, we have to use the formula of length of an arc which is given as
L = θ/360 * 2πr
To find the angle between each spoke, let's divide 360 by 32
[tex]\theta = 360/32\\\theta = 11.25^0[/tex]
Now that we have the value of the angle, let's substitute it and solve for the length of the arc.
[tex]L_a_r_c = \theta/360 * 2\pi r\\L_a_r_c = \frac{11.25}{360} * 2 * 3.14 * 279.5\\L_a_r_c = 54.9mm[/tex]
The length of the arc is approximately 54.9mm
Learn more on length of an arc here;
https://brainly.com/question/2005046
Find the measurement of angle A & B
Answer:
Angle A = 65
Angle B = 78
Step-by-step explanation:
This is a triangle, and the total angles in a triangle is 180 degrees. What you can do is make all of the angles equal 180 and then solve for x.
180 = (2x +4) + (2x - 9) + x
180 = 2x +4 + 2x - 9 + x
180 = 4x -5 +x
180 = 5x - 5
185 = 5x
37 = x
Now, plug in x to solve for the angles.
Angle A = 2(37) - 9 = 65 Angle B = 2(37) + 4 = 78Angle C = x = 372 : 3 = .... : 9 ?
5 : 10 = 20 : ...?
1 : 3 = 8 : 24 ......?
4 : 3 = 16 : 2 ....?
Step-by-step explanation:
first one is 6:9
second is 20:40
sorry I'm not sure about the others!
Answer:
six
40
72
12
Step-by-step explanation:
9/3=3 so then do 2x3= six
20/5=4 so then do 4x10= 40
24/1= 24 so then do 24x3= 72
sixteen/4= 4 so then do 3x4= 12
Hope this helps mark me brainiest and leave a thanks please
Line q passes through the point (4,6)and (0,6).
Answer:
The equation of the line passing through the points (4, 6) and (0, 6) will be:
y = 6The graph of the equation y = 6 is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the points
(4, 6)(0, 6)Finding the slope between (4, 6)and (0, 6).
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 6] / [0 - 4]
= 0 / -4
= 0
Thus, the slope of the line = m = 0
The slope m = 0 means the line is horizontal. Because the slope of the horizontal line is 0.
As the y-values are not changing with respect to the x-values.
Therefore,
The equation of the line passing through the points (4, 6) and (0, 6) will be:
y = 6The graph of the equation y = 6 is also attached.
what is the slope of the line -9x + 7y = 63
Answer: I think its x = 38
Step-by-step explanation:
Answer:
9/7
Step-by-step explanation:
I really need help if somebody could explain this into detail and show me how would really appreciate it please
Answer: y = (5x)^2
Step-by-step explanation: You're finding the inverse.
f(x) = [tex]\sqrt{x}[/tex]/5 --> y = [tex]\sqrt{x}[/tex]/5 (they mean the same thing)x = [tex]\sqrt{y}[/tex]/5 (switch x and y)5x = [tex]\sqrt{y}[/tex] (multiple both sides by 5)(5x)^2 = y (square both sides) --> the first answer choiceZABC is a straight angle. Which equation can be used to find the measure of
the unknown angle?
Answer:
180-45
Step-by-step explanation:
That is, supplementary angles
i need help with this and all ppl is doing is just stealing it...
15*\sqrt(72) (15 times root 72. I can't seem to enter a square root symbol)
Answer:
Step-by-step explanation:ok so if you want too do the the root symbl on what
asap help please!!!! What's the volume of this figure?
Answer:
108 cubic feet
Step-by-step explanation:
V=w·h·l
fill in
V=3·9·4
V=108
Answer:
108 cubic feet is the answer
Explanation
volume = 9*4*3
= 108 cubic feet
1/6 divided by 4 i need the answer please thank you.
Answer:
The correct answer is 1/24
I'm 100000000000% sure.
Each hexagon tile has an area of LaTeX: 18\sqrt{3} 18 3 in.2 . Solve for x. Then find the exact length of each side of the hexagon. (Hint: Six equilateral triangles make one hexagon.)
Answer:
The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.
Step-by-step explanation:
According to this question, we have a regular hexagon with a surface area of [tex]18\sqrt{3}\,in^{2}[/tex]. From Geometry, we know that all regular hexagons can be formed by six regular triangles, since the angle of one complete revolution (360º) divided by the number of triangles is equal to the internal angle of each triangle (60º). Then, the area of each triangle is found after dividing the complete area by the number of regular triangles:
[tex]A_{\triangle} = \frac{18\sqrt{3}\,in^{2}}{6}[/tex]
[tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex]
The area of the triangle as a function of the length of the side of the hexagon ([tex]l[/tex]), measured in inches, is determined by this equation:
[tex]A_{\triangle} = \frac{\sqrt{3}}{4} \cdot l^{2}[/tex] (1)
If we know that [tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex], then the length of the side of the hexagon is:
[tex]\frac{4}{\sqrt{3}}\cdot A_{\triangle} = l^{2}[/tex]
[tex]l^{2} = \frac{4\cdot \sqrt{3}}{3} \cdot A_{\triangle}[/tex]
[tex]l = 2\sqrt{\frac{\sqrt{3}}{3}\cdot A_{\triangle} }[/tex]
[tex]l = 2\sqrt{3}\,in[/tex]
The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of
$36,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $12,000 down payment be?
Answer:
The down payment of $36000 is 15% of price.The down payment of $12000 is 5% of price.Step-by-step explanation:
Given that
Price of studio apartment = P = $240000
Down payment =d = $36000
Down payment is the amount that is initially given at the time of buying something.
Part A: For down payment of $36000
We will simply divide the down payment by total price.
[tex]= \frac{36000}{240000}\\=0.15[/tex]
Converting into percentage, multiplying by 100
[tex]= 0.15*100 = 15\%[/tex]
Part B: For down payment of $12000
We will simply divide the down payment by total price.
[tex]=\frac{12000}{240000}\\=0.05[/tex]
Converting into percentage, multiplying by 100
[tex]=0.05*100 = 5\%[/tex]
Hence,
The down payment of $36000 is 15% of price.The down payment of $12000 is 5% of price.Please help this is due in ten minutes!!!
Use the figure to find measures of the numbered angles.
Answer:
angles 1 and 4: 113
angles 2 and 3: 67
Answer:
the angle should be 124° but I'm not sure so I'm sry If i get it wrong
HELPPPPP
This table models a linear function.
x −12 −8 −4 4
y 4 2 0 −4
Enter the coordinates of the y-intercept in the boxes.
Answer:
(0,-2) is the correct answer.
Step-by-step explanation:
5x + 4y = 17
Y - x = 2
x =
y =
please help
16. Find the value of y.
y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
is 315/18 a rational or irrational number
Answer:
yes because it is a terminating decimal
Step-by-step explanation:
Explain how to determine if two line segments are parallel, perpendicular
or neither.
Answer:
nelther
Step-by-step explanation:
trust me
multiple choice please help
Kennedy needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $58 for parts. The total was $226.75. Write and solve an equation which can be used to determine 2, the cost of the labor per hour.
Answer:
12.056
Step-by-step explanation:
Answer:12.056
Step-by-step explanation:
What is the first number of an ordered pair called and what is the last number of an ordered pair called?
Answer:
abscissa and ordinate
Step-by-step explanation:
The first number of an ordered pair will represent the x-axis value.
What this is called is the abscissa
The second number of an ordered pair will represent the y-axis value
What this is called is the ordinate
Answer: X coordinate
Step-by-step explanation: You have a graph an on the left is the X coordinate and on the right is called the Y coordinate.
What is the domain and range of the graph
I'm thinking it's either a or d but I'm not sure.
Answer:
i think its d
Step-by-step explanation:
What is the value of the expression
(2^5- 4) - 3 x (2 + 1)
7
19
51
75
PLZ HELP ASAP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER PLZ HELP
Answer:
19
Step-by-step explanation:
( 2^5 - 4 ) - 3 × ( 2 + 1 )
= ( 32 - 4 ) - 3 × 3
= 28 - 9
= 19
WILL MARK BRAINIEST!! ...
suppose a city with population 600,000 has been growing at a rate of 8% per year. if this rate continues, fund the population of this city in 11 years
Answer:
1,398.983
Step-by-step explanation:
Write in slope-intercept form an equation of the line that passes through the given points. (1, 2), (−2, −1)
Answer:
4 blocks down, 2 left
Step-by-step explanation:
You have a bag of 15 marbles. 8 are red. 5 are blue. 2 are green. You asked 15 people to pull a random marble and replace it. The outcome was that 10 got red, 4 got blue and 1 got green. Joe thinks if 15 more people try 8 will pull red. Jill thinks if 15 more people try 10 will pull red. Choose the most accurate statement.
a
Joe is right because the theoretical probability is better.
b
Jill is right because the experimental probability is better.
c
We don't know what will happen, but both Joe and Jane are making good, educated assumptions.
d
We don't know what will happen because anything is possible and there is not point in calculating probabilities. Whatever happens, happens.
e
6 people will pull red to average out to 8. The long term average must match the theoretical probability.
Answer:
C.
Step-by-step explanation:
We have 2 probabilities: Theoretical probability and Experimental probability.
We cant know what will happen as it's just probability but both joe and Jill are making educated guesses based on probabilities, just different kinds.
6-2x=y 14+3x=y plzzz helllllllllllllllp
Answer:
(- [tex]\frac{8}{5}[/tex], [tex]\frac{46}{5}[/tex] )
Step-by-step explanation:
Given the2 equations
6 - 2x = y → (1)
14 + 3x = y → (2)
Substitute y = 14 + 3x into (1)
6 - 2x = 14 + 3x ( subtract 3x from both sides )
6 - 5x = 14 ( subtract 6 from both sides )
- 5x = 8 ( divide both sides by - 5 )
x = - [tex]\frac{8}{5}[/tex]
Substitute x = - [tex]\frac{8}{5}[/tex] into either of the 2 equations for the corresponding value of y
Substituting into (1)
y = 6 - 2(- [tex]\frac{8}{5}[/tex] ) = [tex]\frac{30}{5}[/tex] + [tex]\frac{16}{5}[/tex] = [tex]\frac{46}{5}[/tex]
solution is ( - [tex]\frac{8}{5}[/tex], [tex]\frac{46}{5}[/tex] )
Lilly babysits for $10 per hour. She works for 5 hours. She uses her money to buy a new sweater that cost $20.
How much money will Lilly have left?
Answer:
30 dollars left
Step-by-step explanation:
If Lily works for 10 dollars per hour and works 5 hours which adds up to 50 dollars then she buys a sweater for 20 so 50 minus 20 is 30 dollars, so Lily has 30 dollars left over.
7+(-11) =
Please help!
Answer:
-4
Step-by-step explanation:
7 + (-11) basically translates to 7 - 11. Since the bigger number has the negative sign here, you just have to subtract 11-7 and then add the negative onto the answer.
Answer:
-4
Step-by-step explanation:
7-11
-4
if it is a number + a negative number you remove the +and just subtract