Answer:
120
Step-by-step explanation:
A: D: 10 ≤ b ≤ 12
R: 0 ≤ W(b) ≤ 120
B: D: 0 ≤ b ≤ 10
R: 12 ≤ W(b) ≤ 120
C: D: 0 ≤ b ≤ 120
R: 0 ≤ W(b) ≤ 10
D: D: 0 ≤ b ≤ 10
R: 0 ≤ W(b) ≤ 120
Answer:
x = 5 y = 9
Step-by-step explanation:
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:
(2,-1)
Step-by-step explanation:
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
Answer:
72 gallons
Step-by-step explanation:
we know that
19 units represent 228 gallons
so
using proportion
Find out how many gallons represent 6 units
Let
x ---> the number of gallons for 6 units
