Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
First find midpoint of AB and lastly find the length of midpoint and C
Answer:
26in^2
Step-by-step explanation:
5 time 4 is 20in^2. plus 2 times 3 is 6in^2.
add 20 and 6 then you get 26in^2.
<h2>Explanation:</h2>
Let's take a look at all of our options.
A. it is also a square
- A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
- A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.
B. the sum of its angle measures is 360
- This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
- B is an option because it is an ALWAYS true statement.
C. it has four congruent angles
- A rectangle always has 90 degree angles, giving it its shape.
- Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
- C is also an option because it is always true.
D. it has four congruent sides
- A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
- A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.
<h2>Answers:</h2>
B and C are always true of a rectangle.
Answer:
Step-by-step explanation:
if A=1/2 bh
to solve for b
2A=bh
b=2A/h
