Answer:
C.
Step-by-step explanation:
Answer: We are missing some data here, but it appears to be a right triangle question. Assuming that triangle ABC is a right triangle, the measure of angle B would be about 63.26 degrees.
If you draw a right triangle ABC with the given information, you will see that we have an adjacent side and hypotenuse with regard to angle B.
Therefore, we can write and solve the following cosine ratio.
cos(B) = 9/20
B = 63.26 degrees
The spider's movement is an illustration of a parabola.
- The equation of a parabola is:

- The focus of a parabola is: (40,-30)
- The axis of symmetry is:

- The directrix is:

<u>(a) The equation</u>
The spider passes through the origin.
So, we have:

The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:

The equation of a parabola is:

So, we have:

Subtract 10 from both sides


Solve for a

Substitute
and
in 

<u>(b) The focus, directrix and the axis of symmetry</u>
The focus of a parabola is:

Where:

So, we have:



So, we have:


The axis of symmetry is:

So, we have:

The directrix is:



Read more about parabolas at:
brainly.com/question/25237745
Answer:
8 hours
Step-by-step explanation:
In 2 hours, the clerical secretary can do 1/4 of the job. (The executive secretary does 3/4 of the job - or 3 times as much - in the same 2 hours.)
Since it takes the clerical secretary 2 hours to do 1/4 of the job, it will take them four times that to do it themselves. 2x4=8.