Answer:
answer below
Step-by-step explanation:
ABCDE go through dilation over center (6 , -2) with factor of 1/2 to FGHIJ
AB // FG slope: -2 , √20:√5 = 2: 1
BC // GH // X axis 8:4 = 2:1
CD // HI, slope= 1 , √8:√2 = 2:1
DE // IJ // x axis, 4:2 = 2:1
EA // JF // y axis, 2:1
Answer:
46
Step-by-step explanation:
44+x=90
x=46
Your answer is 9. Hope this helps, if not, please comment below!
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
<h3>Trigonometry identity</h3>
Trigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: brainly.com/question/24349828
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Answer:
452.16 mm squared is a correct answer.
Sure!
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