Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
ED = 
ED = 9.25 m
Height of the goalpost is 9.25 m.
Answer:
x = 750
Explanation:
25x = 30
1. Multiply 25 by 30
25 * 30 = 750
2. Divide 750 by 25
750/25 = 30
3. Divide 750 by 30
750/30 = 25
Therefore, x = 750
Answer:
h = 1,268 cm
Step-by-step explanation:
V = (π·r²·h)/3, general formula
83 = (π·4²·h)/3, substitute what is given V= 83 cm³ and r = 4 cm
83 ·3 = (π· 16·h)·3/3, multiply both sides by 3 and solve 4² = 16
249 = π·16·h, multiply 83·3 = 249 and 3/3 = 1
249/ π·16 = h , divide both sides by π·16
1,268.146587 = h, solve
1,268 ≈ h , is rounded to the nearest cm
D=2r so the diameter is 10.4ft. Multiple 10.4ft by 3.14 to get the answer. The answer is 32.656
The equation of the perpendicular line will be y = (4/3)x.
<h3>What is a linear equation?</h3>
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Then the equation of the perpendicular line will be given as
y = - (1 / m)x + c
The equation of line is y = -3/4 x + 1.
Then the equation of the perpendicular line will be
y = 4/3 x + c
The equation is passing through (9, 12), then we have
12 = 4/3 (9) + c
12 = 12 + c
c = 0
Then the equation of the perpendicular line will be y = (4/3)x.
More about the linear equation link is given below.
brainly.com/question/11897796
#SPJ1
