Answer:
If we solve for a
2ab=z–xy
a = z–xy/(2b)
INFO: The chairs are evenly spaced around
the wheel
Question: If the length of the cable from L to E is 80 feet, E to the ground is 35 feet, and F to the ground is 40
feet, what is the length of the cable from J to F?
Answer: About 72 feet
The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).
======================================================
Explanation:
Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.
M = center of the circleN = location where the cable is anchored to the groundWe're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.
The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.
-----------------
What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.
It turns out that the chord length c is connected to the radius r and central angle theta like so:
c = 2*r*sin(0.5*theta)
where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.
If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces
Those five spaces could be written as
The jump from L to AThe jump from A to BThe jump from B to CThe jump from C to DThe jump from D to EOr you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.
There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.
-----------------
Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.
c = 2*r*sin(0.5*theta)
80 = 2*r*sin(0.5*5pi/6)
80 = 2*r*sin(5pi/12)
80 = 2*r*0.9659258
80 = 2*0.9659258*r
80 = 1.9318516r
1.9318516r = 80
r = 80/1.931 8516
r = 41.4110483
The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.
-----------------
Now that we know the radius, we can determine how long chord JF is.
The central angle for chord JF is angle JMF
If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.
So,
c = 2*r*sin(0.5*theta)
c = 2*41.4110483*sin(0.5*2pi/3)
c = 71.7260397
Chord JF is roughly 71.7260397 feet long.
When rounding to the nearest foot, that's about 72 feet.
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
Any closed shaped figure with straight sides and angles
Step-by-step explanation:
She has $10.00 to spend. Apples cost $0.26 each and oranges cost $0.38 each. If Samantha can only buy apples, how many apples can she buy? If she can only buy oranges, how many oranges can she buy? Which would she get more of and how many more?
Answer:
she can buy 38 apples
Step-by-step explanation:
A bank loans a customer $95,000 for a period of 20 years. The simple interest rate of the loan is 6.5%. What is the amount of simple interest?
A.
$140,000
B.
$123,500
C.
$135,000
D.
$100,000
Answer:
b
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
then, solving our equation
I = 95000 × 0.065 × 20 = 123500
I = $ 123,500.00
The simple interest accumulated
on a principal of $ 95,000.00
at a rate of 6.5% per year
for 20 years is $ 123,500.00.
Lisa selects a marble from a jar containing 6 red marbles and 2 green marbles and does not replace it. She then selects a second marble. What is the probability that both marbles will be red?
Answer:
15/28 = 53.57%
Step-by-step explanation:
E 1 = select a red marble
E2 = select a red marble
E 1 ∩ E2
6/8 x 5/7
3/4 x 5/7 = 15/28 = 53,57%
A farmer has 500 m of fencing. He wants to construct
three adjoining rectangular fields that have the greatest possible area.
Determine the dimensions of the three fields.
2. Devon began basketball practice at 4:10pm. When he finished, the
clock said 5:50 pm. How long did he play basketball? *
O 1 hr. 20 mins.
1 hr. 30 mins.
O 1 .
1 hr. 40 mins
2 hr. 20 mins
Answer:
1 hour and 40 minutes
Step-by-Step
4:10 to 5:10 is 1 hour. 5:10 to 5:50 is 40 minutes. Put it together and its 1 hour and 40 minutes.
hese are the values in Paul’s data set.
(1,21),(2,16),(4,10),(5,5),(6,2)
Paul determined the equation of a linear regression line, and determined that these are the predicted values.
(1,20),(2,17),(4,9),(5,6),(6,2)
Use the point tool to graph the residual plot for the data set.
Answer:
Use the plot
20 - 21 = -1 (1, -1)
17 - 16 = 1 (2, 1)
9 - 10 = -1 (4, -1)
6 - 5 = 1 (5, 1)
2 - 2 = 0 (6, 0)
Step-by-step explanation:
I need help! Look at the photo attached.
Answer:
1. Not equal
2. Not equal
3.Not equal
4. Equal
5. Equal
Step-by-step explanation:
Move the numbers in order of least to greatest.
8.295, 8.013, 8.26 8.12
Answer:
8.13, 8.12, 8.26, 8.295
Step-by-step explanation:
HELP FAST PLEASE (zoom in on the photo) Your friend graphs the inequality, Is your friend correct?
-1
-
0
o yes
no
Explain your reasoning
Answer
i would say no
Step-by-step explanation:
a
1200
b
3200
c
3680
d
5520
Answer:
c. 3680
Step-by-step explanation:
In 2010, the population was 8000.
In 2014, it increased by 15%.
Population in 2014 :
= 8000 + 15/100×8000
= 8000 + 1200
= 9200.
Now, 2/5 of the population was age 12 or under.
= 2/5 × 9200
= 2×1840
= 3680
Answer - c) 3680
just pls helpp
no links
Answer:
1120
Step-by-step explanation:
Answer:
46 in x 28 in = 1288 in^2
Step-by-step explanation:
First you would have to find the height and the width. Then you would have to times the height time width with the height is 28 in and the width is 48 in then you just have to multiply the witch you then turn out with 1288 and you just put the in^2 at the end so your answer is 1288 in^2.
Parker wants to ride his bicycle 34 miles this week. He has already ridden 10 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Equation:
Answer: xx =
Answer:
he rode 4.8 miles each day
Heeeeeeeeeeeeeeeelp!
Answer:
117
Step-by-step explanation:
The plus minus of a player for the first forty games of the season is listed below. A plus when is your team scored more
points while you were playing, and a minus is when your team scored fewer points while you were playing.
8,5,7-10, 23,-9, -16, 7, 12, 22, 35, 17, 11,-8, 9, 14, 16, -12, 17, 15, 8, 10, 20, 18, -14, 16, 10, 9, -15, -13, -7, 8, 3, 0, 9, 12, 16, 18,
-10,
The population mean is 5.9. Which sample mean best measures the population mean for this player's average
plus/minus score?
8.5, 7.-10. 23.9
9.-16.7. 12, 35, 17, 11, -3
-12, 17, 15, 8, 10, 20, 18, -14, 16, 10, 9.-15.-13
2018-14, 16, 10.9.-15. -13, -7.8.
0, 9, 1216, 18.-10.-4
Answer:
take the population mean divided by four
Step-by-step explanation:
what is the sq root of 66666647362617?
Answer:
8164964.62715
Step-by-step explanation:
please mark this answer as brainliest
Answer:
The correct Answer is 8164964.62715
Step-by-step explanation:
Since the number couldn't be multiplied by by another number by itself it will give a bunch of numbers, that would somewhat try.
Example: 36, Square root of 36 is 6, since 6 times 6 is 36. Easy!
HELPP
What is the value of x?
Answer:
d
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
The sum of the angle of a quadrilateral is 360 degrees
92+100 +102 +5x+16 = 360
Combine like terms
5x+310 = 360
Subtract 310 from each side
5x+310 -310 =360-310
5x = 50
Divide by 5
5x/5 = 50/5
x = 10
ROUND EACH VALUE TO THE NEAREST TENTH
Answer;
100??
Step-by-step explanation: g
What is the percent of the figure is shaded?
Answer:
7/10 is shaded
so 7/10×100= 70%
Answer:
70 percent
Step-by-step explanation:
hope this helps
Help hurry, my grade depends on it, thank you!!
Answer:
i really really believe that it is B
What is the solution to the system of equations graphed below?
Answer:
There are no equations that we can see but send me a screen shot in discord of it and I will help, my discord is Mousycritter#2842
Step-by-step explanation:
what is the solution
Answer:
y
≥
14
Step-by-step explanation:
Party trays, which cost $14 to make not including labor, are sold for $35.00. If two people work 8 hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all costs including labor?
Answer:
5.33 trays must be sold to cover all costs including labor
Step-by-step explanation:
Party trays, which cost $14.00 to make not including labor, are sold for $35.00. Profit on party trays excluding labour cost = $35 - $14 = $21 Now we will find total labor cost for making party tray for a day Total labor hours * wages per hour* No. of labors = $7 * $8*2 = $112 Therefore to find how many trays must be sold to cover all costs including labor just divide total labour cost for making party tray for a day by profit on party trays excluding labour cost. = $112/$21 = 5.33 It means 5.33 trays must be sold to cover all costs including labor.
HELP!! WILL MARK BRAINLIEST
A bag contains 2 red marbles, 3 blue marbles, and 4 green marble. What is the
probability of choosing a red marble, replacing it, then drawing a green marble?
A bag contains 2 red marbles, 3 blue marbles, and 4 green marble. What is the
probability of choosing a red marble, and without replacing it, then drawing a green
marble?
Answer:
2 and 3
Step-by-step explanation:
Because it is the same thing
Answer:
1/9
Step-by-step explanation:
So we have a total of 9 balls.
The chance of getting a red marble is 2/9
But since we dont replace it, the number drops.
There is now a total of 8.
The probability for getting a green is 4/8 or 1/2.
2/9*1/2 is 1/9
Which side lengths would NOT make a triangle?
11 cm, 10 cm, 21 cm
25 cm, 9 cm, 20 cm
13 cm, 15 cm , 7 cm
16 cm, 17 cm, 15 cm
Answer:
9, 15, 22.
If you add any of the two side lengths, they will be greater than the third.
Step-by-step explanation:
Answer: 2 is the answer
Step-by-step explanation:
Find the measure of n in the following figure.
OK / OL = KN / LM
5 / 10 = n / 8
1 / 2 = n / 8
n = 4
Consider the two lines describer the equations Ax + By = C and Dx + Ey = F
a) What must be true for these two lines to parallel?
b) What must be true in order for these two lines to be perpendicular?
c) What must be true in order for these two lines to be identical?
Answer:
a).
A must be equal to D i.e gradients must be equal.
b).
The product of A and B must be equal to -1
c).
A, B and C must be equal to D, E and F respectively.
Find the value of x, Round to the nearest degree
Answer:
33
Step-by-step explanation:
Two lines intersect creating angles with the measures shown below.
(2x + 6)°
32°
What is the value of x?
Answer:
The angles are called Vertical Angles. And vertical angles are always equal. So,
2x + 6 = 32
2x = 26
x = 13