Answer:
The answer is 8 - 4i
you collect the like terms
Answer:
Step-by-step explanation:
<h3>#18</h3>
Conditional statement p → q, and its inverse is not p → not q.
Applied to the given statement we see the correct one is b.
<h3>#19</h3>
Let the cost of fish is f.
<u>As per question we have:</u>
- 2(250) + 3f < 700
- 500 + 3f < 700
- 3f < 200
- f < 200/3 ≈ 67
The maximum cost is 66 pesos.
Correct choice is c.
<h3>#20</h3>
<u>Given function:</u>
The range is all real numbers as no restrictions to its domain.
Correct choice is c.
Answer:
15
Step-by-step explanation:
0.3% of 5000
= (0.3/100) x 5000
= 0.3 x 50
= 15
Answer:
The camera had to cover the greatest angle is CAMERA 3 because it had the largest angle of 71.47°
Step-by-step explanation:
From the above question,
We have:
Camera 1 = Angle A
Camera 2= Angle B
Camera 3 = Angle C
A = 210ft
B = 234ft
C = 260ft
We need to find Angle A( angle of camera 1) using the cosine rule
A=(B² + C² - 2BCCosA)
210² = 234² + 260² - 2 × 234 × 260 × CosA
210² = 122356 - 121680CosA
Square both sides
210² = 122356 - 121680CosA
44100 = 122356 - 121680CosA
121680CosA = 122356 - 44100
121680CosA = 78256
Cos A = 78256/121680
Cos A = 0.6431295201
A = arc cos (0.6431295201)
A = 49.974422249°
Angle A approximately = 49.97°
Using the Sine rule to find the Angle B
A/Sine A = B/Sine B
210ft/Sine 49.97° = 234ft/Sine B
210ft × Sine B = 49.97° × 234ft
Sine B =( Sine 49.97° × 234ft)/210ft
B = arc sin (0.8532172354)
Angle B = 58.56334
Approximately = 58.56°
Angle C = 180 - (49.97 + 58.56)°
Angle C = 71.47°
Therefore, the camera had to cover the greatest angle is Camera 3 because it had the largest angle of 71.47°
Considering the proportions given in the table, the superhero is most likely to be the favorite is Superman.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Looking at the table, the proportions associated with each superhero is given as follows:
As it has the highest proportion, the superhero is most likely to be the favorite is Superman.
More can be learned about proportions at brainly.com/question/24372153
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