7/8 w = 6
7/8 w ÷7/8 = 6 ÷7/8
w = 48/7 or 6 6/7 as a mixed fraction
Answer:
DP = 16
Step-by-step explanation:
PK = KA = 12
using the Pythagorean theorem:
DP² = 20² - 12²
DP² = 400 - 144 = 256
DP = 16
Answer:
x = ![24^{o}](https://tex.z-dn.net/?f=24%5E%7Bo%7D)
Step-by-step explanation:
r + s = 70 feet
Applying Pythagoras theorem to the triangle formed by cable r;
=
+ ![/adj2/^{2}](https://tex.z-dn.net/?f=%2Fadj2%2F%5E%7B2%7D)
=
+ ![/8/^{2}](https://tex.z-dn.net/?f=%2F8%2F%5E%7B2%7D)
= 400 + 64
= 464
r = ![\sqrt{464}](https://tex.z-dn.net/?f=%5Csqrt%7B464%7D)
= 21.541
Length of cable r is 21.54 feet.
So that,
r + s = 70 feet
21.54 feet + s = 70 feet
s = 70 feet - 21.54 feet
= 48.46 feet
Length of cable s is 48.46 feet.
Applying trigonometric function to the triangle formed by cable s, we have;
Sin θ = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Sin x = ![\frac{20}{48.46}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B48.46%7D)
= 0.4127
x =
0.4127
= 24.3746
x = ![24^{o}](https://tex.z-dn.net/?f=24%5E%7Bo%7D)
The measure of angle that s makes with the ground is approximately
.
Simply multiply the total amount of bulbs by the probability of being faulty:
2000 * 0.05 = 100
You can expect 100 bulbs to be faulty.
Answer: (1/2)k
Step-by-step explanation: