Answer:
3
Step-by-step explanation:
4x-y= -36
Distribute the 4: y-12=4x+24
Add 12 to both sides: y=4x+36
Move the y to the other side: 0=4x-y+36
Subtract 36 from both sides: 4x-y= -36
Answer:
Part 5.1.1:

Part 5.1.2:

Step-by-step explanation:
We are given that:

Part 5.1.1
Recall that:

Let θ = 2<em>A</em>. Hence:

Square the original equation:

Hence:

Subtract:

Take the square root of both sides:

Since 0° ≤ 2<em>A</em> ≤ 90°, cos(2<em>A</em>) must be positive. Hence:

Part 5.1.2
Recall that:

We can use the third form. Substitute:

Solve for cosine:

In conclusion:

(Note that since 0° ≤ 2<em>A</em> ≤ 90°, 0° ≤ <em>A</em> ≤ 45°. Hence, cos(<em>A</em>) must be positive.)
Answer:
3.6 cm
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2)*h
We know the area of 4.5 and the top is 1 and the bottom is 1.5
4.5 = 1/2 (1+1.5) h
4.5 = 1/2 (2.5) h
4.5 =1.25h
Divide each side by 1.25
4.5/1.25 = 1.25h/1.25
3.6 =h
Answer:
Step-by-step explanation:
13 + 21 = 34