Answer:
Area of the trapezoid is 38 cm²
Step-by-step explanation:
- Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.
- Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²
- Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth
Area of rectangle, A2 = 4 * 6 = 24 cm²
- Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²
- Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²
The answers are:
A= 40°
B= 140°
C=180°
Answer:
Step-by-step explanation:
We look for where 
. The way you find the answer is first, find the point 
. Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).
Using this method here, we see that 
intersects our line at 
, so .
Answer:
option 4
Step-by-step explanation:
using the sine/ cosine ratios in the right triangle and the exact values
cos30° = 
, sin30° = 
, then
cos30° = 
= 
= ( cross- multiply )
2x = 20
× = 20 × 3 = 60 ( divide both sides by 2 )
x = 30
and
sin30° = 
= 
= ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
