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shepuryov [24]
2 years ago
15

Quadrilateral MNPQ is shown on the grid below.

Mathematics
1 answer:
AfilCa [17]2 years ago
5 0

Answer:

<em>42 square units</em>

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

<em>Area of the figure = 42 square units</em>

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lukranit [14]

Notice that the denominator is a multiplied by 2 for each fraction.

1/1•2 = 1/2

1 /2•2 = 1/4

1/4•2 = 1/8

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The next size is 1/32.

8 0
2 years ago
Factor the expression 2x4y – 18x2y3 completely.
Annette [7]

Answer:

B. 2x2y(x – 3y)(x + 3y)

Step-by-step explanation:

2 {x}^{4} y - 18 {x}^{2}  {y}^{3}  \\  = 2 {x}^{2} y( {x}^{2}  - 9 {y}^{2} ) \\  = 2 {x}^{2} y \{ {x}^{2}  -  {(3y)}^{2} \} \\  \purple {\boxed{ \bold{ = 2 {x}^{2}  y(x - 3y)(x + 3y)}}}

5 0
3 years ago
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A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of get
adelina 88 [10]

Answer:

The  value is  P( H \  n \  T ) =  0.6049

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  P(H) =  0.7870

   The probability of getting three or more heads in a row or three or more tails in a row is    P(H \ u \   T )  =  0.9791

Generally given that it is a fair coin , then   P(H) = P(T) =  0.7870

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        P( H \  n \  T ) =  P(H) + P(T) -  P( H \  u \  T )

=>   P( H \  n \  T ) =  0.7870  + 0.7870 -  0.9791

=>   P( H \  n \  T ) =  0.6049

 

7 0
2 years ago
Please help! no links please!
svet-max [94.6K]

The value of x is: 75°

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4 0
3 years ago
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Ms. Walker used a coordinate plane to plot her students' scores on a recent quiz. She let x represent the number of correct answ
Lelechka [254]

Answer:

Slope = 4

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The x-axis values to represent the number of correct answers.

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The equation of the straight line graph is;

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