Answer:
The base of the triangle is 6cm.
Step-by-step explanation:
The find the base of a triangle, use this formula.
Formula : 1/2 x b x h
<em>If you would like some more explanation, see the attached image.</em>
Answer:
Ann would need 3 h to complete the remainder of the Job.
Step-by-step explanation:
Step 1.
The "speed" that each girl has to do the work is determined as:
- Tina:
, it means that Tina complete one twelveth of the job each hour. - Ann:
, it means the Ann completes one eighth of the job each hour.
Step 2.
The amount of work done by Tina in 9 hours, is obtain multiplying by the "speed" calculated in step 1:
Amount of work done=
. It means that <em>Tina completes two thirds of the work in 9 h.</em>
Step 3.
The remaining job is calculated as
. It means that <em>still remains is one third of the job to be completed</em>.
Step 4.
The time required for Ann to complete the job is calculated dividing the remaining of the job by the "speed" of Ann to do the job.
. It means that <em>Ann would complete the job in another 3 hours</em>.
y = cos(7x)
First derivative = -7sin(7x)
Second derivative = - (7^2)cos(7x)
3rd derivative = (7^3)sin(7x)
4th derivative = (7^4) cos(7x)
5th derivative = -(7^5) sin (7x)
6th derivative = -(7^6) cos(7x)
nth derivative ?
Analysis and conclusion
If n is multiple of 4 or a number before a multiple of 8 the sign is positive
If n is one or two numbers after a multiple of 4 the sign is negative.
7 is raised to exponent n
if n is odd the function is sin(7x), if n is even the function is cos(7x)
n = 57 => odd, and it is a number after 56 which is a multiple of 4 => negative sign
Therefore, the 57th derivative = - (7^57)sin(7x)