Without using the formula, work out the gradient of the graph shown.

Give your answer in its simplest form.

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.

We'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

Or 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.

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

Answer:

85 dollars

Step-by-step explanation:

Big brain

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.

Answer:

she can buy 38 apples

Step-by-step explanation:

Answer:

4 a

Step-by-step explanation:

trust

U7 L1 Exploring Periodic Data: Multiple Choice:

1. Use the given graph. Determine the period of the function. (1 point)

2. Determine whether the function is periodic. If it is, find the period. (1 point)

3. Determine whether the function is periodic. If it is, find the period. (1 point)

4. Find the period and the amplitude of the periodic function. (1 point)

5. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) (1 point)

I just took the test, 5/5 (100%)

Answer: it’s a

Step-by-step explanation:

Answer:

1. Not equal

2. Not equal

3.Not equal

4. Equal

5. Equal

Step-by-step explanation:

====================================================

Explanation:

When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below

y = a*b^x

The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.

In this case, we have growth due to y increasing as x increases. They increase together.

When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2

Then note how 1.2 = 6/5, which means b = 6/5

Therefore, y = a*b^x becomes y = 18(6/5)^x

--------------

We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed

Example: plug in x = 0 to find that

y = 18(6/5)^x

y = 18(6/5)^0

y = 18(1)

y = 18 which matches

Then try x = 1

y = 18(6/5)^x

y = 18(6/5)^1

y = 18(1.2)

y = 21.6 that also matches

I'll let you confirm the other x values.

Answer:

34560

Step-by-step explanation:

You have to multiply to get your answer

Hope I'm right...

Hope this helps plz like and brainly :D

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.

Answer:

33

Step-by-step explanation:

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.

Answer;

100??

Step-by-step explanation: g

Answer:

6

Step-by-step explanation:

Answer:

Any closed shaped figure with straight sides and angles

Step-by-step explanation:

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.

Answer:

take the population mean divided by four

Step-by-step explanation:

Answer:

8.13, 8.12, 8.26, 8.295

Step-by-step explanation:

9514 1404 393

Answer:

  A) ∠DHG = 96°

  B) arc EF = 134°

Step-by-step explanation:

Part A:

As you have shown in your work, angle DHG is supplementary to given angle FHG:

  ∠DHG = 180° -∠FHG

  ∠DHG = 180° -84°

  ∠DHG = 96°

__

Part B:

  ∠DHG is half the sum of arcs EF and DG.

  96° = (1/2)(arc EF + 58°) . . . . . fill in known values

  192° -58° = arc EF . . . . . . . . . . multiply by 2, subtract 58°

  arc EF = 134°

Answer:

he rode 4.8 miles each day

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!

9514 1404 393

Answer:

  27.483 m

Step-by-step explanation:

The circumference of a circle is given by ...

  C = πd

so the diameter is ...

  d = C/π

  d = (86.34 m)/(3.1416) ≈ 27.483 m . . . diameter

Answer:

C

Step-by-step explanation:

If you expand C  you will find it to be true

Answer:

117

Step-by-step explanation:

Answer:

The answer is a 20% increase

Hope this helps!

Mark me brainliest if I'm right :)

The reflection of shape from x = -2 shown below.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

To reflect the figure from x= -2.

Then, the coordinates of object after reflection is

(-1, -1)

(1, -1)

(-1, -4)

(0, -4)

(1, -3)

Learn more about transformation here:

https://brainly.com/question/13801312

#SPJ2

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: