9514 1404 393
Answer:
61.4
Step-by-step explanation:
The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:
C = πd = 10π ≈ 31.4
The perimeter includes that length plus the lengths of two straight sides that are 15 units each.
P = 31.4 + 2×15
P = 61.4 . . . . units
Answer:

Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:

Make h the subject:

Also, in BOC (Using Pythagoras)

Make
the subject

Substitute
for h
becomes


Factorize

In trigonometry:

So, we have that:

Take square roots of both sides

In triangle BOA, applying Pythagoras theorem, we have that:

Open bracket

Substitute
and
in 


Open Bracket

Reorder

Factorize:

In trigonometry:

So, we have that:


Take square roots of both sides

Answer is D. <em><u>288</u></em> . i am glad to help