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abruzzese [7]
3 years ago
14

Please help me on khan academy! I promise we can be friends and talk!

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer: -8.92

Step-by-step explanation:

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Consider the survey descriptions shown. Survey 1: A township employee surveys all 118 workers at a shopping mall to learn about
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3,2,1

Step-by-step explanation:

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A LANE IN THE MIDDLE OF A TWO-WAY ROAD THAT HAS DASHED LINES ON BOTH SIDES AND TWO LARGE CURVED ARROWS FACING EACH OTHER MAY BE
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This lane symbol is used for marking the beginning and ending of a left turn to the drivers.

What are lane symbols?

A permitted lane usage is denoted by a lane symbol. For example, a lane marked with a diamond is one that is designated for high-occupancy cars.  A lane symbol of a bicycle marks that the lane is designated for cyclists. At crossings, arrows indicate movements that are necessary or allowed. The user of the roadway must yield when there is a row of solid triangles. Likewise, two large curved arrows facing each other on a lane in the middle of a two way road with dashed lines on either sides indicate the beginning and ending of a left turn.

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4 0
1 year ago
Write the equation<br>x - 4y = 16 in<br>slope-intercept form.​
e-lub [12.9K]

<u><em>Good morning</em></u>,

Step-by-step explanation:

Look at the photo below for the Answer.

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3 years ago
Classify the following triangle. Check all that apply.
Maurinko [17]

Answer:

obtuse, isosceles

Step-by-step explanation:

We have two angles that have the same measure  - that means two sides are equal length.  That means the triangle is isosceles

We have one angle that is greater than 90 degrees  - that tells us the triangle is obtuse

8 0
2 years ago
Folding a rectangle along one diagonal results in a shape whose area is 2/3 that of the original
Charra [1.4K]

Answer:

  • 60°

Step-by-step explanation:

<em>Refer to attached picture</em>

Given rectangle ABCD. Its folded shape is given as well.

It has sides a and b and diagonal d, with the angle BCD marked as α.

We need to find the value of angle AOC or BOD.

This is going to be 2α, which is easy to find out. BOD is cut by the angle bisector, each of the angles is α.

Let the area of the rectangle is A, then the folded shape has area 2/3A.

<u>The area of rectangle ABCD:</u>

  • A = ab

<u>From the triangle CBD we get:</u>

  • a/d = sin α ⇒ a = d sin α
  • b/d = cos α ⇒ b = d cos α

<u>Then</u>

  • A = d sin α * d cos α = d²sin α cos α

Now, lets find the area of the folded shape.

It is the area of the rectangle minus the area of the triangle CMB as this part  is lost as part of overlap.

<u>Area of the triangle:</u>

  • A = 1/2dh

<u>Since h/(d/2) = tan α ⇒ h = 1/2d tan α, the area is:</u>

  • A = 1/2d*1/2d tan α = 1/4d² tan α

<u>We have the difference of the areas which is 1/3 of the area of the rectangle:</u>

  • 1/3(d²sin α cos α) = 1/4d² tan α
  • sin α cos α = 3/4 tan α
  • sin α cos α = 3/4 sin α / cos α
  • cos² α = 3/4
  • cos α = √(3/4)
  • cos α = √3/2
  • α = arccos (√3/2)
  • α = 30°

<u>The acute angle formed by the two diagonals of the rectangle is:</u>

  • 2α = 2*30° = 60°

3 0
2 years ago
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