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mojhsa [17]
3 years ago
5

What is the center and radius of the​ circle?

Mathematics
1 answer:
Inessa [10]3 years ago
8 0

A circle is a set of points equidistant from a center point. Here's a set of points equidistant from the origin! A common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.
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A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear
snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

6 0
3 years ago
Which angle pairs are supplementary? Check all that apply.
Zina [86]

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

7 0
3 years ago
Read 2 more answers
Find mZ3 if mZ5 = 145º and mZ4 = 45°
trapecia [35]

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  ∠5 = ∠3 +∠4

  145° = ∠3 +45° . . . . fill in the given values

  100° = ∠3 . . . . . . subtract 45° from both sides

7 0
3 years ago
Solve for p: m= 8 -2(p-m)
makkiz [27]
Solve for p by simplifying both sides of the equation, then isolation the variable
p = 1 + m/2

Hope this helps! :)
4 0
3 years ago
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The graph represents the piecewise function:
svetoff [14.1K]

Answer:

x if -3is less than x is less than -1

5 is -1 is less than x is less than 1

Step-by-step explanation:

You find the slope of the line for the first piece when the x-values range from -3 to -1.

For the second piece, the line is y=5 because the line is horizontal.

5 0
3 years ago
Read 2 more answers
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