Answer:
The cube will fit on the shelf.
Explanation:
If the volume is 10 cubic feet, then the height is around 2.1-2.2 feet high. One foot is 12 inches, so the height in inches is around 25.2-26.4 which is less than 30 inches.
Hi! This might be long but I hope it helps!
1. 115. If q=4, then the equation tells us that 0.1d+(0.25)⋅4=12.5. Subtracting 1 from both sides gives 0.1d=11.5, so d=115.
2. 100. If q=10, then the equation tells us that 0.1d+(0.25)⋅10=12.5. Subtracting 2.5 from both sides gives 0.1d=10, so d=100.
3. Yes. If you know the number of quarters, then you can determine the number of dimes from the equation. We can even write the equation in a way that shows this: d=125−2.5q. The expression 125−2.5qrepresents the output—it is the rule that determines the output d from a given input q.
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
Answer:
x=6
Step-by-step explanation:
this is a property
(8x-4)+(3x+17)=17x-23
11x+13=17x-23
23+13=6x
36=6x
x=6
