<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
If we let the number of flip-flops be x in the equation and that the cost would be y ( in terms of x) and the income would be z ( in terms of x), these equations will likely intersect each other during breakeven. That is, when the total revenue that the company will gain from sales of the flip-flops just be equal with the total cost.
Answer:
4 1/10 kg
Step-by-step explanation:
To find the total mass, we add the mass of the three baskets
1 1/10 + 1 3/10 + 1 7/10
Since they have the same denominator
1 1/10
1 3/10
1 7/10
-------------
3 11/10
Change the improper fraction to a mixed number
11/10 = 1 1/10
3 + 1 1/10
4 1/10
A fraction is a short way to write a division problem. When you see a fraction, it means "the top number divided by the bottom number".
When you actually DO the division, the answer is the decimal that's equal to the fraction.
We need to find the difference first. 65 - 60 = 5. Now we must find what percent 5 is of 65. It is 7,7%. The number decreased, and so it is a 7,7% decrease.
