Answer:
-20
Step-by-step explanation:
-20
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:
1/6
Step-by-step explanation:
Answer:
the sales price of backpack = $25.3
the sale price of sweatshirt = $15.3
The sale price of soccer ball = $24.80
Answer:
1. n=0 2. x = 15 and 3. m = -5
Step-by-step explanation:
1. 28^3*32^n = 28^3
Divide both sides by 28^3:-
32^n = 1
n = 0 ( any number to the power 0 = 1)
2. 30^x * 30^5 = 30^20
divide both sides by 30^5
30^x = 30^15
because the 2 bases are the same ( both = 390) we have:-
x = 15
3. a^m * a^3 = 1 / a^2
a^m * a^3 = a^-2
Divide both sides by a*3
a^m = a^-5
so m = -5
