Answer:
39.6
Step-by-step explanation:
Given in the right angled triangle above are:
Ѳ = 49°,
Adjacent length = 26
Hypotenuse length = x
To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length
Thus,
Multiply both sides by x
Divide both sides by 0.6561 to find x
x = 39.6 (to nearest tenth)
The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.
As we know,
V = IR
V = (3 + j2)(4 - j3)
j² = -1 (complex part)
After simplification:
V = 18 - j volts
Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
Learn more about the complex number here:
#SPJ1
Answer:
There are 160 possible 4-piece lunch special meal.
Step-by-step explanation:
The lunch menu has a 4-piece lunch special which consists of a sandwich, soup, dessert and drink.
The available options for the sandwiches, soups, desserts and drinks are:
Sandwich: chicken, cheese and tomato, tuna, ham and lettuce, turkey
Soup: tomato, chicken noodle, vegetable
Dessert: ice-cream, piece of cake
Drink: tea, coffee, Coke, Sprite
So, the number of options are:
n (Sandwich) = n (A) = 5
n (Soup) = n (B) = 4
n (Dessert) = n (C) = 2
n (Drink) = n (D) = 4
There are 5 ways to select a sandwich, 4 ways to select a soup, 2 ways to select a dessert and 4 ways to select a drink.
The total number of possible 4-piece lunch special is:
Total number of 4-piece lunch special = n (A) × n (B) × n (C) × n (D)
Thus, there are 160 possible 4-piece lunch special meal.