Answer:
x=1, y=6. (1, 6).
Step-by-step explanation:
-8x+4y=16
y=5x+1
----------------
-8x+4(5x+1)=16
-8x+20x+4=16
12x+4=16
12x=16-4
12x=12
x=12/12
x=1
y=5(1)+1=5+1=6
Answer:
60 miles per hour.
Step-by-step explanation:
Let r represent speed of wind blowing in miles per hour.
We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 
.
The speed of the plane is the opposite direction of wind would be 
.
Distance covered in the direction of wind would be 
.
Distance covered in the opposite direction of wind would be 
.
Since both distances are same, so we will get:
Therefore, the wind is blowing at a rate of 60 miles per hour.
1 litre of 10% solution contains 100mL of iodine
1 litre of 90% solution contains 900mL of iodine
Mixing them will produce 2 litres of solution containing 1000mL of iodine which is 50% iodine.
To produce 8 litres of 50% iodine they can mix 4 litres of 10% and 4 litres of 90%
We simply rearrange the equation to find t:
rt = d
t = d/r
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
