Analyze the diagram below and complete the instructions that follow.
2 answers:
Answer:
D. x=7√3 , y=4√2
Step-by-step explanation:
<em>Step 1: Lets assume an imaginary line from A to B to make the triangle ABC( (refer to the attached image).</em>
AB = 4
BD = 3
<em>Step 2: Find the value of y by the sin formula.</em>
opposite = 4
adjacent = BC
hypotenuse = AC
sin (angle) = opposite/hypotenuse
sin (45) = 4/AC
√2/2 = 4/AC
AC = y = 4√2
<em>Step 3: Find the value of x</em>
Tan (45) = opposite/adjacent
1 = 4/CB
CB = 4
x = CB + BD
x = 4 + 3
x = 7
Therefore, the answer is D where x = 7 and y = 4√2
!!
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Divide the irregular figure into rectangles
Area of rectangle = l * w
4 * 5 = 20 in^2
5 * 12 = 60 in^2
7 * 11 = 77 in^2
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(Sorry if the picture isn’t neat)
Area of rectangle = l * w
4 * 5 = 20 in^2
5 * 12 = 60 in^2
7 * 11 = 77 in^2
Add them together
20 + 60 + 77 = 157 in^2
(Sorry if the picture isn’t neat)