Answer:
∠ SPQ = 75°
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Subtract the sum of the 3 angles from 360 for ∠ SPQ
∠ SPQ = 360° - (90 + 74 + 121)° = 360° - 285° = 75°
Answer:
E = 3072i - 5904ohms
Step-by-step explanation:
From ohms law recalled that E = IR given already
E = voltage (volts)
I = Current (amps)
R = resistance (ohms)
Therefore, by substitution
I = 16i and R = (2+4)ohms(32+66i)
= 6(32+66i) ohms
= (192+396i)ohms
E = (16i)×(192+396i)
E = 3072i + 5904i²
Recall that i² = -1 from complex number
E = 3072i +5904(-1)
E = 3072i - 5904ohms
Answer:
x = 23.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 29
29 sin 54 = x
x=23.46149
To the nearest tenth
x = 23.5
