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nikdorinn [45]
3 years ago
9

What is the area of the sector of a circle with radius r=2 cm, and the measure of its intercepted arc of 150 degrees ?

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0
There are is 160 metres squared is the answer to this question
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Two equivalent equations of the line in point slope form for (-4,8) and (0,5)
34kurt

Answer:

Equation of line 1  is 3 X - 4 Y = 20

Equation of line 2 is 3 X  + 4 Y = 20

Step-by-step explanation:

Given co ordinates of points as,

( -4 , 8)  and (0 , 5)

From the given two points we can determine the slop of a line

I. e slop (m) = \frac{(y2 - y1)}{(x2 - x1)}

Or,           m  = \frac{(5 - 8)}{(0 + 4)}

So,           m = \frac{(-3)}{(4)}

Now equations of line can be written as ,

Y - y1 = m ( X - x1)

<u>At points ( -4 , 8)</u>

Y - 8   = \frac{(-3)}{(4)} (X + 4)

So , Equation of line 1  is 3 X - 4 Y = 20

<u>Again with points ( 0 , 5)</u>

Y - 5   = \frac{(-3)}{(4)} ( X - 0)

So, Equation of line 2 is 3 X  + 4 Y = 20

Hence Equation of line 1  is 3 X - 4 Y = 20  and Equation of line 2 is 3 X  + 4 Y = 20   Answer

4 0
4 years ago
6. Regroup the numbers in the following problems, putting the numbers that add up to 10 or a multiple of 10 in parentheses.
svetoff [14.1K]

Answer:

a) (2+8)+9

b) (3+7)+5+4

c) (4+16)+2

d) (31+9)+4

Step-by-step explanation:

a) 2+9+8

2 and 8 add up to 10, so we regroup them in parentheses

(2+8)+9


b) 3 + 5 + 4 + 7

3 and 7 add up to 10, so we regroup them in parentheses

(3+7)+5+4


c) 4 + 2 + 16

4 and 16 add up to 20 which is a multiple of 10, so we regroup them in parentheses

(4+16)+2


d) 31 + 4 + 9

31 and 9 add up to 40 which is a multiple of 10, so we regroup them in parentheses

(31+9)+4

4 0
3 years ago
.What is the<br> percent increase from 1987 to today?
kozerog [31]

Answer:

In other words, $100 in 1987 is equivalent in purchasing power to about $227.09 in 2020, a difference of $127.09 over 33 years. The 1987 inflation rate was 3.65%. The current inflation rate (2019 to 2020) is now 2.49% 

7 0
3 years ago
Give the slope of each line. Also, state if the lines are parallel (yes or no).
VMariaS [17]

Answer:

AB slope is 1/2

CD slope is 1/3

Since the slopes of the lines aren't the same, the lines aren't parallel.

Step-by-step explanation:

5 0
3 years ago
Combine the terms in the given polynomial then evaluate for x=3, and y=-1
Novay_Z [31]
Answer:xy^2+3x^2y;\text{  -24}

Explanation:

The given expression is:

xy+3xy^2-2xy+3x^2y-2xy^2+xy

Combine like terms

xy+xy-2xy+3xy^2-2xy^2+3x^2y

Simplify the resulting expression

\begin{gathered} 2xy-2xy+3xy^2-2xy^2+3x^2y \\  \\ xy^2+3x^2y \end{gathered}

Substitute x = 3 and y = -1 into the simplified expression

\begin{gathered} xy^2+3x^2y \\  \\ 3(-1)^2+3(3)^2(-1) \\  \\ 3(1)+(-27) \\  \\ 3-27 \\  \\ =-24 \end{gathered}

6 0
1 year ago
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