(05.05)Polygon ABCD has the following vertices:

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Answer is option b)38.5 sq.units

Given vertices are A(-4,2) ,B(3,2),C(3,-5) and D(-4,-2)

Area of polygon is defined in the image.

If you have any doubts see the image or ask in comments box.

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A brace for a shelf has the shape of a right triangle. Its hypotense is 16 incges long and the two legs are equal in length. How

Len [333]

We use trigonometry because we know an angle and a side length.

We are looking for one of the sides that isn't the hypotenuse:
As illustrated by the picture I made below:

We know both unknown angles will be 45 degrees, as there are 180 degrees in a triangle, we know the triangle is a right angle triangle (has 90 degrees) so, (180-90)/2 = 45

Using SOH CAH TOA, short for : SIN- OH COS- AH TAN- OA

We are looking for the one with H, as we know what H is.
I am picking "SIN- OH", but we could use "COS- AH"

The formula for this is: Sin(angle) = O/H
We substitute the angle (45) and the length for H (16)

Sin(45)= O/16 <- rearrange it
Sin(45)*16= O <- Solve in the calculator
13.6145 (4 DP)= O
The legs = O

The legs have a length of "13.6145 (4 DP)" each