Answer:
60 degrees and 30 degrees
Step-by-step explanation:
let the angles be x and y
we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:
x + y = 90 ------(eq 1)
we are also given that the difference between the two angles is 30 degrees). Similarly we can write
x - y = 30 ------(eq 2)
now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:
eq 1 + eq 2:
(x + y) + (x - y) = 90 + 30
2x = 120 (divide both sides by 2)
x = 120/2
x = 60 deg (substitute this back into eq 1)
x + y = 90
60 + y = 90 (subtract 60 from both sides)
y = 90 - 60
y = 30 deg.
Answer:
308.75 ft
Step-by-step explanation:
If Justin needs to divide his field in 4 sections then you take the feet 1,235 and divide it into 4 giving you in the end 308.75 feet.
Hello
3 years. Since no mention of compounding was made I will assume that it's 3.5% simple interest. So first, let's calculate what percent of the entire loan was interest. Just a simply matter of division. 2625 / 25000 = 0.105 = 10.5% Now lets' divide the percentage of the loan that was paid in interest by the interest rate. 10.5% / 3.5% = 3 So the company took 3 years to repay the loan.
Have a nice day
Answer: The first option.
Step-by-step explanation:
1. To solve this exercise you need to remember that:
- An even function is a function with the following property:
f(-x)=f(x)
- An odd function is a function with this property:
f(-x)=-f(x)
2. By definition, the contangent is an odd function, therefore you have that:
cot(-θ)=-cot(θ)
Then:
3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.
It takes 2minutes to make one bag.
If Ashley works alone:
900 bags * 2 minutes= 1800 minutes
Since there is 60 minutes in a hour:
1800/60=30 hours
There is 6 people doing it so:
30 hours/6 people=5 hours
The final answer is 5 hours.
Hope this helps!
