Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32
Answer:
4 3/4
Step-by-step explanation:
Answer:
B. $8
Step-by-step explanation:
Given:
Total payment, T = $160
Hourly rates = $t/hour
= total payment/total time worked
The question said, "worked 12 more hours than the amount she is paid per hour".
Total time worked = (12 + t) hour
Therefore, Hourly rates of payment, t = 160/(12 + t)
t^2 + 12t - 160 = 0
Solving the above quadratic equation,
t = -20 and 8
t = $8
Step-by-step explanation:
Put 1 on the far left and 4 on the far right.
Put. 2 the top and 3 at the bottom.
Put 5 in the centre.
There are 2 ways you can find to to make all the numbers add up to 5.
The number in the centre is the common anwser to the sums.
Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or 
, and cotangent is the reciprocal of this, meaning that it is "x/y" or 
.
That means that we are now given this equation.
That'll multiply to:
We'll want a common denominator to add by multiplying 
to both top and bottom of the second term:
Pythagorean Identity states that 
, so substitute that in:
Which simplifies to:
Hope this helps!
