Answer:
3rd box = 6
6th box = -22
y=x-12
output = input-12
Step-by-step explanation:
Answer:
1. x = 32°
2. x = 28°
3. x = 15°
4. x = 30°
5. x = 40°
6. x = 20°
Step-by-step explanation:
All the angles should add up to 90° as they are complementary.
We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
Answer:
Pual needs 3 gallons
Step-by-step explanation:
∵ The dimensions of the four walls are:
25 × 8 , 30 × 8 , 25 × 8 , 30 × 8
∴ The area of painting = 2(25 × 8) + 2(30 × 8)
= 400 + 480 = 880 square feet
∵ each gallon paint 400 square feet
∴ The number of gallons = 880/400 = 2.2, so he needs 3 gallons
