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2 years ago

HELP NEED ANSWER ASAP!

Mathematics

2 answers:

g100num [7]2 years ago

8 0

Answer:

The median is 7.

Step-by-step explanation:

The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.

Nuetrik [128]2 years ago

3 0

Answer:

I am pretty sure the anwser is 7

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A bill to landscape your yard is $720. The Materials cost $375 and the labor is $34.50 per hour. Write and solve an equation to

Igoryamba

Answer:

Hey what'sup?

You need to dig a little in, for what it's actually meaning

Here the total is 720 right?

Which came from the materials and the labors work in hourly basis

So it's like

Cost of the material + no of hours = bill

We don't know what the no of hours are, so let's assume it as 'x'

Hence the required equation is

375+35*x=720

35*x = 720-375

35*x = 345

Therefore x=345/35 =9.8

Therefore they worked for 9.8 hours or approximately 10 hours

Peace out

8 0

3 years ago

chef Diana purchase 10 1/2 pounds of beef and 5 1/2 pounds of pork to make meatloaf for her restaurant on the weekend she uses 1

natita [175]

Add the total purchase then subtract the used amount from it. U'll get 2 1/3.

3 0

3 years ago

INFO: The chairs are evenly spaced around

lana66690 [7]

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 circle
N = location where the cable is anchored to the ground

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

The jump from L to A
The jump from A to B
The jump from B to C
The jump from C to D
The jump from D to E

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.