Answers:
B = 50
a = 10.9
c = 17.0
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Explanation:
This is a right triangle, so the acute angles are complementary, meaning they add to 90
B+40 = 90
B+40-40 = 90-40
B = 50
Also, because this is a right triangle, we can use trig ratios to compute the missing sides
tan(angle) = opposite/adjacent
tan(40) = a/13
a = 13*tan(40)
a = 10.908
a = 10.9
cos(angle) = adjacent/hypotenuse
cos(40) = 13/c
c*cos(40) = 13
c = 13/cos(40)
c = 17.0
note: make sure your calculator is in degree mode
In the expression, the real number a equals 12 and the real number b equals -16.
<h3>How to explain the information?</h3>
It should be noted that the expression given is:
= (4 - 2i)²
Therefore, we need to expand the expression. This will be:
= (4 - 2i)(4 - 2i)
= 16 -8i -8i + 4i²
= 16 -16i +4i²
Substitute -1 for i²
= 16 - 16i + 4(-1)
= 16 - 16i - 4
= 12 - 16i
Therefore, the value of the expression is 12 - 16i.
Learn more about expressions on:
brainly.com/question/723406
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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.
Answer:
x+10 x ≠ 60
Step-by-step explanation:
(x^2−50x−600)
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(x−60)
Factor the numerator
(x-60)(x+10)
-------------------
(x-60)
Cancel the like terms
x+10
Answer: 2. Linear pair postulate
4. 60 + mACB=180
5. mACB=120
6. definition of obtuse angle
