Answer:
It's a proportion.
2 is to x as 15 is to 9, or 2/x = 15/9.
Multiply the means and extremes
15x = 18
divide both sides by 15 to get x by itself.
x = 1.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Notice from the attached image that -315 degrees is the same as 45 degrees.
Recall as well that the csc function is defined as the reciprocal of the sine function: 
Then, you need to evaluate 
Answer:
Rectangle shaped cross section is formed by intersection of plane and prism.
Step-by-step explanation:
Given: A rectangular Prism.
To find: Shape of Cross Section when a plane intersect the prism diagonally
A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.
Figure is attached.
In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.
Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.
Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
