First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
Answer:
i cant see that
Step-by-step explanation:
Answer:
They sold
20 Roses and 20 Carnations
Step-by-step explanation:
The total sales of 40 flowers is $100 not $10 as in the question
Roses=$3
Carnations=$2
Total flowers sold=40
Total sales=$10
Let Roses=r
Carnations=c
c+r=40. (1)
3r+2c=100 (2)
From (1)
c=40-r
Substitute c=40-r into (2)
3r+2c=100
3r+2(40-r)=100
3r+80-2r=10
r=100-80
r=20
Substitute r=20 into (1)
c+r=40
c+20=40
c=40-20
=20
c=20
r=20
Check:
3r+2c=100
3(20)+2(20)=100
60+40=100
100=100
Answer:hourly pay for the junior employee in dollars and cents=$10.25
Step-by-step explanation:
Step 1
Total amount senior employee is being paid = amount per hour x hours worked
= $14 × 16 = $224.00
Total amount of junior employee since he/ she collects $39.50 less than senior employee= $224.00 - $39.50
= $184.50
Step 2
hourly pay of junior colleague= Total pay of junior colleague/ Hours worked
=$184.50 / 18 hours
= $10.25 per hour
I think the answer is 745
