Answer:
A = 68 in^2
Step-by-step explanation:
A of Rectangle = 6 * 10 = 60 in^2
A of Triangle = (4 * 4)/2 = 8 in^2
Answer: The correct option is,
C. x + 12 ≤ 2(x − 3)
Step-by-step explanation:
Given inequalities,
x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)
Let a = x + 12, b = 5 - y and c = 2(x-3)
Here, a ≤ b and b ≤ c
Since, by using the transitive property of inequality,
⇒ a ≤ c
⇒ x + 12 ≤ 2(x − 3)
Therefore, OPTION C is correct.
Answer:
cos^(-1)(12/13) = 22.62°
Step-by-step explanation:
Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.
Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.
Fear not, for Gandalf is here! What you need to do is find the area of the circle. The formula is A = πr2 (pi times squared r). So, in other words, you cut the diameter in half (5 ÷ 2 = 2.5 feet) and do this: 2.5 × 2.5 (this is the squared 2.5). Next, you multiply the factor (which is 6.25) by 3.14. So, you get 19.623, also known as 19.6 if you're rounding to the nearest tenth. Ciao!