Each straw is 4-1/8 inches long.
You have one gigantic piece of straw material, 123-3/4 inches long.
How many straws can you cut it up to make ?
===> (123-3/4) divided by (4-1/8) straws.
Each one costs $0.015 to make.
So, once you find the number of short straws you have,
multiply
===> (the number of short straws) x ($0.015) .
That'll tell you how much it costs to make all of them.
Now you know how to do it on your own.
If you don't get 30 straws and $0.45 , please try again.
Answer:
7 < y
Step-by-step explanation:
The relation you're interested in is ...
(4.5 -2y)/5 < (2 -3y)/10
9 -4y < 2 -3y . . . . . . . . . multiply by 10
7 < y . . . . . . . . . . . . . . . . add 4y-2
The value of the first fraction will be less than that of the second fraction for values of y greater than 7.
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Answer:
The answer is X. because it follows along the line most perfectly.
Answer: The cone has a larger volume.
Step-by-step explanation:
Volume of a cone = ⅓πr²h
where, radius = 5cm
height = 10cm
Volume = ⅓ × 3.142 × 5² × 10
Volume of cone = 261.83cm³
Volume of square pyramid = A(h/3)
where, A = 10 × 10 = 100cm²
Volume = 100 × (5/3)
Volume of square pyramid = 166.67cm³
Therefore, the cone has a larger volume.
