Answer: 19.0909090909 or 19
Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
Answer:
Movie: $4.25
Video Game: $5.25
Step-by-step explanation:
For this problem, we can use system of equations to solve for the rental costs of the movies and video games. Let's use x for movies and y for video games.
Equation 1
5x+3y=37
Equation 2
2x+6y=40
To start, we can use elimination to solve for x and y. Let's cancel out y. To do so, we have to multiply the first equation by 2 to get the y equal.
10x+6y=74
Now that the y are equal, we can subtract both equations.
8x=34
x=4.25
The movie rental cost is $4.25.
Now that we know x, we can plug in to find y.
2(4.25)+6y=40
8.5+6y=40
6y=31.5
y=5.25
The rental cost for video games is $5.25.
Answer:
2A/h = b
Step-by-step explanation:
A = 1/2bh
Multiply each side by 2
2A = 2*1/2bh
2A = bh
Divide each side by h
2A/h = bh/h
2A/h = b