Answer:
A is the answer
Step-by-step explanation:
3*30 is 90 2*30 is 60 and x*30 is 30 which means 90+60+30 equals 180
1) 20x+5y=120
Stp1: 5y=120-20x
Stp2: 5y=(120/5 and -20x/5)= [y=24-4x]
finding x:
20x+5(24-4x)=120
Stp1: 5*24=120,-4x*5=-20
20x+120-20x=120
Stp2: subtract 120 on both sides of = sign
20x-20x=0
Stp3: subtract the variables:
[x=0]
finding y:
20(0)+5y=120
stp1: multiply 20*0
5y=120
stp2: divide 120 by 5
[y=24]
2) 10x+7.5y=80
Stp1: move 7.5y to other sign of =
10x=80-7.5y
Stp2: divide by 10
[x=8-.75y]
substitute x and re do original:
stp1: 10(8-.75y)+7.5y=80
stp2: 80-7.5y+7.5y=80
stp3: subtract variabled num. with variabled num. and whole num. with whole number: [y=0]
solve for x:
10x-7.5(0)=80
10x=80
[x=8]
check:
10(8)+7.5(0)=80
80+0=80
[80=80]
SOH CAH TOA
This is the acronym for all trigonometric ratios.
Sin. = opposite/hypotenuse
Cos. = adjacent/ hypotenuse
Tan. = opposite/ adjacent.
In this picture the OPPOSITE leg and the HYPOTENUSE is given to us. With this information we can apply the "TOA" ratio.
Sin. R = opposite/hypotenuse
Sin. R = 3/4 or 0.75
Use a calculator or table to find 0.75 in the sin. column.
The final answer should be 49.
Sin. 49 = 0.7547
Answer:
9 feet
Step-by-step explanation:
