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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Answer:
x : y = 9 : 13
Step-by-step explanation:
Given that
3x - y : x + 2y = 2 : 5
Express the ratio in fractional form, that is
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5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )
15x - 5y = 2x + 4y ( subtract 2x from both sides )
13x - 5y = 4y ( add 5y to both sides )
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x = y ( divide both sides by y )
=
, that is
x : y = 9 : 13