Answer:
x = 6.93
y = 13.86
Step-by-step explanation:
We can solve x by;
Tan(60) = 12/x
Tan(60) * x = 12
x = 12 / Tan(60)
<u>x = 6.93 </u>
We can solve y by;
A² + B² = C²
12² + 6.93² = y²
144 + 48.02 = y²
192.02 = y²
= y²
<u>13.86 = y</u>
Hope this helps!
Answer:
Step-by-step explanation:
Distribute: 6(4-z) expands to 24-6z
24-6z=2z: Add 6z to both sides to get 24=8z
Divide both sides by 8: z=3
Answer:
665.73 cm or 6.65 m
Step-by-step explanation:
The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:
3.6m * 100cm / 1m = 360cm
Now we calculate the number of steps:
360 cm / 18 cm = 20 steps
Now each step measures 28 cm, therefore:
20 * 28 = 560 cm
To calculate the length of the ladder, we must apply Pythagoras:
c ^ 2 = a ^ 2 + b ^ 2
a = 360; b = 560
replacing:
c ^ 2 = 360 ^ 2 + 560 ^ 2
c ^ 2 = 443200
c = 665.73
665.73 cm in meters would be 6.65 meters.
Answer:
-11 - 13i.
Step-by-step explanation:
(12) — (23 + 13i)
= 12 - 23 - 13i
= -11 - 13i.
Answer:
57
Step-by-step explanation:
18.5= 19