<u>To find the constant of proportionality:</u>
⇒ must define constant of proportionality
⇒ <em>Constant of Proportionality: ratio of two proportional values at a </em>
constant value
⇒ (in this case) two proportional values are x and y
<u>The ratio between x and y is equal to</u>
<u>Answer:</u> <u>55</u> or <u>Choice 1</u>
<u></u>
Hope that helps!
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
You are correct in saying that it is false to say that all isosceles triangles are congruent. They are indeed similar because the two remaining angles measure 45 degrees making all the isosceles right triangles equiangular. The sides should have the same ratio of the corresponding for them to be considered similar.
If diameter is 2, radius is 1
Area of circle = πr^2 so π x 1^2
Answer = π