Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Answer:
what on earth are you trying to ask
Step-by-step explanation:
- thank you for reading this
- and how do you time to read this
- okay it's time to go baiiiiiiiiii
Answer: 9/100
Step-by-step explanation:
Probability of people own a cat:
P(cat)=30/100=0.3
Probability of people own a bird:
P(bird)=3/100=0.03
Probability of both own a cat and a bird
P(cat and bird)=(30/100) × (3/100)
=90/1000=9/100=9%
Answer:
46 jumping jacks per minute
Step-by-step explanation:
184/4= 46
Answer: 100 3 digit even number that begin with either 5 or 6
Explanation:
Case 1:
A 3 digit that begin with 5 should be 500-599 so there are 100 numbers
But we are only finding even number
So 100/2 = 50 3-digit even number that begin with 5.
Case 2:
A 3 digit that begin 6 should have
600-699 and there are also 100 number including even and odd in total. Since we are only finding even number we get:
100/2 = 50 3-digit even number that begin with 6.
Plus both case together we get 50 3-digit even number that begin with 5 + 50 3-digit even number that begin with 6= 50 + 50 = 100
