Step-by-step explanation:
We get two equations here. One for the area and one for the perimeter. The area gives us x×y=50. The perimeter, if we have a rectangle, x+y+x+y=30=2x+2y. For this to work we need to make a simple expression for x or y. Let's go with x here. 2x+2y=30 so x=15-y. if we fill that in the other equation we get (15-y)×y=50 (see picture). y=5 or y=10. If we fill in x×5=50 we get x=10 and vice versa. So the dimensions are 5 centimeters by 10 centimeters
Given:
Right triangle
To find:
The six trigonometric functions of θ
Solution:
Hypotenuse = 18
Adjacent side to θ = 10
Opposite side to θ = ?
Using Pythagoras theorem:
Subtract 100 from both sides.
Taking square root on both sides.
Using trigonometric ratio formula:
Answer:
(1,-6)
Step-by-step explanation:
4x - y = 10
4x -(-6) = 10
4x + 6 = 10
- 6 - 6
4x = 4
/4 /4
x = 1
(x, y) -> (1,-6)
Check your answer:
4x - y = 10
4(1) - (-6) = 10
4 + 6 = 10
10 = 10
This statement is correct
Hope this helps!
Answer:
Step-by-step explanation:
Area of the trapezoid = area of rectangle + 2 * area of triangle
Area of a triangle = 1/2 bh
= 1/2 * 13 * 7
= 45.5 units²
Area of a rectangle = L × B
= 15 × 13
= 195 units²
Area of the trapezoid = [195 + 2 * (45.5)]
= 195 + 91
= 286 units²
