Answer: b
Step-by-step explanation:
Answer:
z = 66
Step-by-step explanation:
RS = z
QT = z - 33
Based on the midsegment theorem, QT = ½(RS)
Plug in the values
z - 33 = ½(z)
Multiply both sides by 2
2(z - 33) = z
2z - 66 = z
Add 66 to both sides
2z = z + 66
Subtract z from both sides
2z - z = 66
z = 66
Answer:
$290
Step-by-step explanation:
We can use the equation that Skate Land created to find the total cost
C = 7.50p + 65
p = people so if we have 30 people, we have to solve 7.50 x 30
C = 225 + 65
we can now add the flat fee of $65 to get the total cost for the birthday part
C = $290
hope this helps :)
Answer:
Circle: sin²(theta) + cos²(theta) = 1
Ellipse: sin²(theta) + cos²(theta) = 1
Hyperbola: sinh²(theta) - cosh²(theta) = 1
Step-by-step explanation:
Circle
Cartesian form from polar form:
x = rcos(theta)
y = rsin(theta)
x² + y² = r²sin²(theta) + r²cos²(theta)
x² + y² = r²(sin²(theta) + cos²(theta))
Using sin² + cos² = 1, we get
x² + y² = r²
Ellipse
x = acos(theta)
y = bsin(theta)
cos(theta) = x/a
sin(theta) = y/b
x²/a² + y²/b² = sin²(theta) + cos²(theta)
x²/a² + y²/b² = 1
Hyperbola
x = rcosh(theta)
y = rsinh(theta)
x²/r² - y²/r² = sinh²(theta) - cosh²(theta)
x²/r² - y²/r² = 1