Answer:
0.015 radians per second.
Step-by-step explanation:
They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.
Which we can calculate in the following way:
θ = arc sin 100/200 = pi / 6
Then we have the following equation of the attached image:
x / 100 = cot θ
we derive and we are left:
(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt
dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)
dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)
dθ / dt = 0.06 / (-2) ^ 2
dθ / dt = -0.015
So there is a decreasing at 0.015 radians per second.
Given:
- The right rectangular prism is made up of 48 cubes.
- Each cube has an edge length of 1/4 inch.

To Find:
- What is the volume of this prism?

Solution:

<u>Using formula: </u>


Substituting values in the formula:




Now,
Volume of 48 such cubes = Volume of 1 cube × 48 cubes





Hence,
- Volume of prism is <u>3/4 inch^3</u>
Answer:
x = 4
Step-by-step explanation:
The parallel segment divides the 2 sides of the triangle proportionally, that is
=
( cross- multiply )
12x = 48 ( divide both sides by 12 )
x = 4
Answer:
Vertex Distance to P Vertex Distance to P
A 2.24 G 2.24
B 5.00 H 5.00
C 4.47 I 4.47
D 2.24 J 2.24
E 5.00 K 5.00
F 4.47 L 4.47
Step-by-step explanation:
Answer:
40 miles
Step-by-step explanation:
10X4