Answer:
x = 8.64
x = - 7.64
Both to 2 d.p
Step-by-step explanation:
Firstly, - 8 both side - cancels the +8 & get the surd to equal x - 8
Then, square root both side, to get:
x-2= x^2 - 64
+ 2 both side
x = x^2 - 66
-x
0= x^2 - 66 - x
x^2 - x - 66 = 0
general equation for quadratic is ax^2 + bx + c
Now, we can find the value of a, b, c using x^2 - x - 66 = 0
a=1
b= - 1
c= - 66
Now use quadratic formula
x = -b±√(b²-4ac))/(2a
= --1 + √ - 1 x - 1 - 4x1x-66 / 2x1
= 8.639.....
Now repeat with - b - & not - b +
x = -b±√(b²-4ac))/(2a
= --1 - √ - 1 x - 1 - 4x1x-66 / 2x1
= - 7.639.......
Answer:
(a) 64°
(b) Yes, the ladder will be safe the ingredients will be used.
Step-by-step explanation:
(a) Trigonometric function of Sine is the appropriate formula to use to solve this question. The formula is given as:
sin θ = Opposite/Hypotenuse
θ = Angle formed with the ground = ?
Opposite = 27 ft
Hypotenuse = 30 ft
Hence,
sin θ = 27 /30
θ = arc sin (27/30)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
64° is less than 70=
64° < 70°
Hence, the ladder will be safe the way it is positioned.
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
