Answer:
From left to right, -3/2, -4/5, -3/10, 1/2, 7/8, 4/3
Step-by-step explanation
So what we're trying to do here is to order the numbers from greatest to least.
Let's start off with the negative numbers.
-3/10, -4/5, -3/2.
Now what we want to do is give them all a common denominator to figure out which one is the least of that group.
-3/10,-8/10,-15/10.
Now on to the positive numbers.
1/2, 4/3, 7/8
Turn the denominator into 24.
12/24, 32/24, 21/24
Then put them all in order.
Answer:
The cone'll require about 37.5 cm of tubing
Step-by-step explanation:
To do this, we need to know that the volume of the medium will have to be the same volume of the cone that will be printed.
Then, the volume of the cone is:
V = π*r^2*h/3
V = 3.14 * 5^2*8 / 3 = 209.33 cm^3
We can assume that the tubing is a cylinder so:
V = π*r^2*h
The radius is 1 1/3, and this is:
1*3 + 1 = 4/3
Solving for h we have:
h= V/π*r^2
h = 209.33 / 3.14*(4/3)^2
h = 209.33 / 5.58
h = 37.5 cm
Answer:
6.0 units
Step-by-step explanation:
Since this is a right angled triangle, one of the trigonometric ratios will be used to find the value of y. Since the hypotenuse is 10 units, and the base and the perpendicular is unknown, therefore tangent ratio will not be used. Taking the critical angle to be 53 degrees, y becomes the base of the triangle. Therefore, cosine ratio will be used.
cos θ = Base/Hypotenuse.
cos 53 = y/10
y = 10*cos 53.
y = 6.0 units (correct to the nearest tenth).
Therefore, the side y measures 6.0 units!!!