Step 1: 10(0.4+0.5g)=4g
Step 2: 4 + 5g = 4g
Step 3: 4 = -1g
Step 4: -4 = g :)
Answer:
23/50
Step-by-step explanation:
27 + 23 = 50 (Implying that 50 is the total amount of tickets).
23 of them were sold to adults, so basically 23/50.
Remember a ratio can be written in 3 forms, so it can be either of these:
23:50
23/50
23 to 50
Answer: 135°
Step-by-step explanation:
The sum of the angles in a pentagon is equal to 540°, and the sum of the first four angles is 405°.
70 + 90 + 100 + 145 = 405
540 - 405 = 135
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

What is the slope? We need the slope to find y