Answer:
Step-by-step explanation:
Given
Required
Determine the measure of side XY
To do this, we make use of sine law. This is as follows:
In this case:
Cross Multiply
Make XY the subject
-- <em>approximated</em>
180
180- 40=140
140 / 2= 70
Angle 1 is a right angle =90 °
so 5x-85=90
5x=90+85
5x=175
x=35
Answer:
284cm^2
Step-by-step explanation:
first, we split up the shape into seperate sections that we can easily find the areas of.
i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.
we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.
there are 2 of these, so 32 x 2 = 64cm^2.
now, i chose to seperarte the pentagon into a rectangle and a triangle,
and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.
the area of the rectangle is 150cm^2.
now, for the triangle.
the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.
8 + 7 = 15.
22 - 15 = 7.
now we know that the height of the triangle is 7 cm.
from earlier, we also know the base, which is 10cm.
7 x 10 = 70cm^2.
now we add all these together:
70 + 150 + 64 = 284cm^2
Hi,
the interior angles of a triangle always add up to 180 degrees. Therefore 35 + 70 + ? = 180.
so, 35+70 = 105. 180-105= 75 degrees.
