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Alex
3 years ago
7

Please help! will mark right answer with Brianly

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Answer:

a. \frac{4\pi }{3}

b. 240

Step-by-step explanation:

all you have to do to find a coterminal angle is to add or subtract 360 or 2\pi from the angle, so:

a. \frac{10\pi }{3} -2\pi =\frac{4\pi }{3}

b. -120 + 360 = 240

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What is the perimeter in square units of the rectangle shown on the coordinate grid?
Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here :  x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}

\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{36 + 64}}

\mathsf{\implies Length = \sqrt{100}}

\mathsf{\implies Length = 10}

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here :  x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}

\mathsf{\implies Width = \sqrt{[2 + 2]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{16 + 9}}

\mathsf{\implies Width = \sqrt{25}}

\mathsf{\implies Width = 5}

Perimeter of a Rectangle is given by : 2[Length + Width]

:\implies  Perimeter of the given rectangle = 2[10 + 5]

:\implies  Perimeter of the given rectangle = 2[15]

:\implies  Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0
3 years ago
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What is the radius of the circle? Hurrry
goldenfox [79]

Answer:

8 in

Step-by-step explanation:

Given,

Diameter ( circle ) = 16 in ( from the diagram )

To find : Radius ( circle ) = ?

Formula : -

Radius ( circle ) = Diameter ( circle ) / 2

Radius ( circle )

= 16 / 2

= 8 in

5 0
3 years ago
Find the equation of a line parallel to the given line in passing through the given point
svetoff [14.1K]

Answer:

Step-by-step explanation:

y = mx + b

The line y = 3 is a horizontal line with slope zero

y = 0x + 3

All parallel lines will also have a slope zero

a parallel line passing through (-2, 7) will have the equation

y = 0x + 7

y = 7

7 0
3 years ago
Susan has a collection of 65 nickels and dimes. If the number of nickels is four times the number of dimes, how many nickels and
NikAS [45]

Answer:

d = 13 and n = 52

Step-by-step explanation:

Number of dimes:  d

Number of nickels:  n

Then d + n = 65, and n = 4d

Substituting 4d for n in the first equation, we get:

d + 4d = 65, or 5d = 65.  Then d = 13 and n = 52

5 0
3 years ago
.............................
garri49 [273]
12x+6 \geq 9x+12
12x-9x\geq 12-6
3x\geq 6
x\geq 6/3
x\geq 2
4 0
4 years ago
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