Answer is
2. 15
3.- 18
4. 92
Answer:
Sin theta = 12/13
Step-by-step explanation:
From the question;
Cot theta = 5/12
Kindly recall;
Cot theta = 1/ tan theta
Hence, tan theta = 12/5
Mathematically
tan theta= opposite/adjacent
to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides
let hypotenuse be h
h^2 = 12^2 + 5^2
h^2 = 144 + 25
h^2 = 169
h = √169
h = 13
But sine theta = opposite/ hypotenuse = 12/13
Answer:
{7x^2+168x+840}/{x+12}
Step-by-step explanation:
Answer: x ≥ 6
<u>Step-by-step explanation:</u>
12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number
5x - 12 ≥ 2x + 6
Note: the word "than" switches the order of the terms.
5x - 12 ≥ 2x + 6
<u>-2x +12</u> <u>-2x +12 </u>
3x ≥ 18
<u>÷3 </u> <u> ÷3 </u>
x ≥ 6
Graph: 6 -----------→ the dot is closed (filled in) since it is "equal to"
