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umka21 [38]
1 year ago
13

Jamal's deck is in the shape of a polygon and is shown on the grid below.(-8,6)(6,6)o[(-8, -4),(6,-4)What is the area of Jamal's

deck?square units
Mathematics
1 answer:
PSYCHO15rus [73]1 year ago
7 0

Let;

A(-8,6) B(6,6) C(6, -4) D(-8, -4)

Let's find the length AB

x₁= -8 y₁=6 x₂=6 y₂=6

We will use the distance formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

=\sqrt[]{(6+8)^2+(6-6)^2}=\sqrt[]{14^2+0}=14

Next, we will find the width BC

B(6,6) C(6, -4)

x₁= 6 y₁=6 x₂=6 y₂=-4

substitute into the distance formula;

d=\sqrt[]{(6-6)^2+(-4-6)^2}

=\sqrt[]{(-10)^2}=\sqrt[]{100}=10

Area = l x w

= 14 x 10

= 140 square units

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Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
3 years ago
Can someone please help me I really need help please help me thank you
just olya [345]

Answer:

1800 or D.

Step-by-step explanation:

Ill post a link an article that can help you master this, I found it very useful. Tell me if you need help after reading it

3 0
3 years ago
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3 years ago
What is the slope of the line that passes through the points A(-2,3) and B(-12,6)?
harina [27]

Answer:

The answer is

<h2>- \frac{3}{10}</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-2,3) and B(-12,6)

The slope is

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We have the final answer as

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