We are given that the angle a is the right angle. So let
us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the
hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or
angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration
of the triangle.
Coolio
lw=1000
lets assume that the aluminum sides are the legnth
2 sides
2*15=30
30l=cost of aluminum
steel=10w
wood=(w-10)5=5w-50
we can eliminate the w by solving for w in first relation
lw=1000
divide both sides by l
w=1000/l
sub that for w
10(1000/l)=steel
5(1000/l)-50=wood
wood cost+steel+aluminum cost=total cost
10(1000/l)+5(1000/l)-50+30l=1525
(10000/l)+(5000/l)-50+30l=1525
(15000/l)-50+30l=1525
add 50 to both sides
(15000/l)+30l=1575
times both sides by l
15000+30l²=1575l
minus 1575l from both sides
30l²-1575l+15000=0
factor
(15)(l-40)(2l-25)=0
set each equal to 0
l-40=0
l=40
2l-25=0
2l=25
l=12.5
the there are 2 possible combinations
aluminum=40yd and steel=25yd or
aluminum=12.5yd and steel=80ft
both yield 1000yd² and cost $1525
95, 45, 37, 82, 90, 100, 91, 78,67,84,85,85, 82, 91,
Scrat [10]
Answer:
80.88
Step-by-step explanation:
The mean is the average of the numbers. To calculate that, just add up all the numbers, and then divide by how many numbers there are. In other words it is the sum divided by the count.
95 + 45 + 37 .....
divided by 24 (the total number of numbers)
1,941 / 24 = 80.875
80.8<u>7</u>5 rounded to the nearest hundredth = 80.88
*
(hundredths place)
Rounding rule: If the digit to the right of the place you are rounding to is 5 or more, then round up to the next digit.
5 hrs 45 min + 5hrs 45 min
(5 + 5)hrs + (45+45)min
10 hrs + 90 min
we can write it as
11 hrs 30 min
