Answer:
A= 75.06 Sq Cm
Step-by-step explanation:
Please refer to the picture attached with this.
In ΔABD
AB = 8.5 , AD = 6 and say BD = x
Applying Pythagoras theorem in this triangle
Pythagoras theorem says

where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.




Hence side 
a = 6.02+19
a = 25.02
Now we apply the formula for area of a triangle which is given as

Where b is the base , here we have base as a = 25.02
h is the height , here h = 6
Putting these values in Formula we get



Hence Area of the triangle is 75.06 sq cm

Here's the solution ~
Let's find the measure of hypotenuse first, by using Pythagoras theorem ;





Now, let's find the asked values ~



For Cos y :



As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.
I.e Sin x = Cos y
Hope it helps ~
Answer:
Area of rectangle = l×b= 3 1/4 × 1 1/2
= 31/8 = 4 7/8
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
Answer:

Step-by-step explanation:
Let the equation of the perpendicular line is,
y = mx + b
where m = slope of the line
b = y-intercept
From the graph, slope of the line passing through (0, -1) and (3, 1),
m' =
m' = 
m' = 
To get the slope (m) of this line we will use the property of perpendicular lines,
m × m' = (-1)
m ×
= -1
m = 
Equation of the perpendicular line will be,

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)
0 = 
b = 
Equation of the line will be,
