Answer:
Step-by-step explanation:
The string of a kite forms a right angle triangle with the ground. The length of the string represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.
To determine the height of the kite, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse.
1) if the kite makes an angle of 25° with the ground, then the height, h would be
Sin 25 = h/50
h = 50Sin25 = 50 × 0.4226
h = 21.1 feet
2) if the kite makes an angle of 45° with the ground, then the height, h would be
Sin 45 = h/50
h = 50Sin45 = 50 × 0.7071
h = 35.4 feet
The approximate difference in the height of the kite is
35.4 - 21.1 = 14.3 feet
Answer:
Step-by-step explanation:
<u>Equation of a Polynomial</u>
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:
Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
We must write it in standard form, so we have to multiply all of the factors as follows:
Answer:
Using SAS they are congruent.
Step-by-step explanation:
E is the point where the diagonals AC and BD meet.
Side: AB = CD
Angle: ∠ABE = ∠EDC
Side: BE = DE
Hence by SAS theorem the two triangles are congruent.
A. £549 376 / 4 = £137344 per word
B. £549 376 / 16 = £34336 per letter
C. £549 376 / 37 = £14848 per letter
D. £549 376 / 512 = £ 1073
I have the same problem here with a slight change in the given values:
radius is 2 & height of 6 indicates the bounding line is y = 3 x---> x = y / 3....
<span>thus the [ π radius ² thickness ] yields π (y² / 9 ) <span>dy ,</span> y in [ 0 , 6 ] for the volume... </span>
a Riemann sum is then : y_i = 0 + i [ 6 / n ] = 6 i / n , i = 1,2,3...n and do a right side sum
<span>π Σ { i = 1,2,3..n } [ 36 i² / 9 n² ] [ 6 / n ]
</span>
I hope my guide has come to your help. God bless and have a nice day ahead!
