The surface area is 1000 and the volume is 49
Answer:
Step-by-step explanation:
Use law of cosines
c² = a² + b² - 2abcosθ
cosθ = (c² - a² - b²) / -2ab
c = length of AC = √(8 - 5)² + (4 - (-5))² = √90
b = length of AB = √(8 - 6)² + (4 - 3)² = √5
a = length of BC = √(6 - 5)² + (3 - (-5))² = √65
cosθ = (√90² - √65² - √5²) / -2√65√5
cosθ = 20 / -36.05551...
cosθ = - 0.5547001
θ = 123.69°
Answer:
y-intercept (0, -3) and x-intercept (3/2, 0)
Step-by-step explanation:
y + 5 =2(x + 1)
y + 5 =2x + 2
subtract 5 from both side
y =2x -3
-3 is the y-intercept because in y=mx+b, b is the y-intercept and it always starts at 0.
To find the x-intercept, we need to plug in 0 for y in y =2x -3
0=2x -3
add 3 to both sides
2x=3
divide both sides by 2
x=3/2 and so the x-intercept is 3/2 and it always starts at 0.
Cows(m) have 4 legs, chickens(c) have 2. Setting up a system of equations 104=4m+2c and 42=m+c. Solved for c the latter equation becomes 42-m=c. Using substitution in the first equation 104=4m+2(42-m). Distribute: 104=4m+84-2m. Combine like terms: 104=2m+84. Isolate variable term: 104-84=2m. Variable coefficient 1: 20/2=10=m. 42-10=32=c. <u>10 cows and 32 chickens.</u>
The answer is 0,4,known ás the answer C
