Answer:
A. a = √2
b = √2
Step-by-step explanation:
Apply trigonometric function to find a and b:
Reference angle = 45°
Hypotenuse = 2
Opposite side = a
Adjacent side = b
✔️Apply SOH to find a, which is:
Sin 45 = Opp/Hyp
Sin 45 = a/2
2*Sin 45 = a
2*1/√2 = a (sin 45 = 1√2)
2/√2 = a
Rationalize
(2*√2)/(√2*√2) = a
2√2/2 = a
√2 = a
a = √2
✔️Apply CAH to find b, which is:
Cos 45 = Adjacent/Hypotenuse
Cos 45 = b/2
2*Cos 45 = b
2*1/√2 = b (Cos 45 = 1√2)
2/√2 = b
Rationalize
2√2/2 = b
√2 = b
b = √2
In order to check whether its greater than or less than, First You have to make denominator value equal of both ratio value. then we have to make denominator value equal i.e. After that you check which ratio Numerator value is greater.
Answer:
1.5, 1.75, 2.07, 2.8
Step-by-step explanation:
Ascending order means to have the smallest value first and going up to the largest.
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
8-15 is -7 and 8+(-15) is also -7 because this equation can also be written as 8-15 but I'm not really sure how to explain how they are different. Sorry