Answer:
a hourly rate is $10.40
b monthly income = 1788.80
Step-by-step explanation:
We need to make 21 630 per year
The question says a working year has 2080 hours
to find the hourly rate, take the salary and divide by the hours
21630/ 2080 hours = 10.40 per hour ( rounded to the nearest cent)
So the person will be making 10.40 per hour
There are 172 hours in a month
Salary = hours * rate
=172*10.40
=1788.80
(2x⁴4y⁴)(3x⁶y²) remove parentheses
2x⁴y⁴*3x⁶y² take out the constants
(2*3)x⁴x⁶y⁴y² simplify 2*3 to 6
6x⁴x⁶y⁴y² use product rule=xᵃxᵇ=xᵃ⁺ᵇ
6x⁴⁺⁶y⁴⁺² simplify 4+6 to 10 and 4+2 to 6
6x¹⁰y⁴⁺²=6x¹⁰y⁶
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
The trigonometric equation <span> (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:
</span>Using x for Θ:
<span>(sinx - cosx)^2 - (sinx + cosx)^2 </span>
<span>= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) </span>
<span>= - 2 sinx cosx - 2 sinx cosx </span>
<span>= - 4 sinx cosx </span>
<span>= - 2sin(2x)
</span>
I hope it has come to your help.
Answer:
1/20
Step-by-step explanation:
So, he eats 5/8 of 1/3 of the pizza. That would be 5/8*1/3=5/24
Then, he eats 2/5 of what is left. What is left is 3/8*1/3=1/8.
So, 1/8*2/5=1/20
Therefore, Teddy ate 1/20 of the original pizza
ABD is the supplement of DBC, so it is equal to 180-130= 50 degrees.
If BE is the bisector, then it splits the angle in half evenly. 50/2=25 degrees for EBA and DBE each.
Final answer: 25 degrees