Ratio Relationships 5:9.
2 answers:
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Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
Answer:
Required ordered pair is (0,0) for system of equation
Step-by-step explanation:
The given system of equation is
A).
B).
On simplifying the equation A
Take log on both side,
(12x) (log9) = (3y) (log9)
4x=y
To find the solution of the system of the equation :
Replacing value of y=4x in equation B,
We get,
x=0 and x=0.829
Since, 0.829 is not integer number
Only solution of equations is x=0
For the value of y
Replace value x in y=4x=0
Thus, Required ordered pair is (0,0)