Answer:
m<5 = 95 degrees
Step-by-step explanation:
Let's first find m<1
=> m<1 = 180-85
=> m<1 = 95 degrees
Since,
m<1 = m<5 (Corresponding angles)
So,
m<5 = 95 degrees
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
To round to the nearest hundredth is 42.66
Answer:
1/2
Step-by-step explanation:
2 1/4 - 1 3/4 Because the denominator are already the same, all you have to do is make it a mixed number and subtract. To do that you multiply the whole number to the denominator and add that new number to the numerator. So you would then have.
9/4 - 7/4
Keep the denumerator the same and subtract the numerators.
2/4
Then simplify
1/2
