As shown in the figure
Height of helicopter above the ground=30 m
Distance from the base to the point where the person is standing=30 m
height of the person=2 m
Now the person cast the shadow of length x m.
Triangle ABC and triangle EDC are similar.
∵ ∠B= ∠D=90°
∠C is common.
So by AA similarity ΔABC and ΔEDC are similar.
As we know when triangles are similar their sides are proportional.
AB/AD =BC/DC
Let DC=x meter
⇒
⇒5=\frac{30+x}{x}[/tex]
⇒5x=30+x
⇒4x = 30
⇒ x=30/4
⇒ x=7.5 meter
So length of shadow=7.5 meter
2. volume of a sphere of radius r is v (r) =
=4/3π×3
=4π
surface area of a sphere of radius r is 4π
b) Ratio of derivative of volume of sphere to surface area of sphere=
=1 [ incomplete question but you have written few words ]
Answer:
20 gallons
Step-by-step explanation:
105/15=7
7*20=140
Answer:
25. Not a solution
26. Yes a solution
27. y= 2/3 x
28. y=3x+16
Step-by-step explanation:
25. The solution to a linear equation is the point (x,y). To find if an (x,y) is a solution, substitute it into the equation and see if it works.
y=4x-4 and (8,3)
3=4(8)-4
3=32-4
3=28
False
Not a solution.
26. Repeat 25 to solve 26 with y=5x-5 and (0,-5)
y=5x-5 and (0,-5)
-5=5(0)-5
-5=0-5
-5=-5
True
Yes a solution.
27. This line crosses through the origin is proportional and therefore has the form y=mx. It also has a gentle slant meaning that is less than 1/2 and goes in a positive direction. This means it is y=2/3 x.
28. Use inverse operations to rearrange the equation.
y-3x=16
y=16+3x
y=3x+16
Answer:
multiply 4 and 6 and the answer should be n-24
Step-by-step explanation:
n-4*6
n-24
Answer:
Width (length of shorter side) = 3.5 cm.
Step-by-step explanation:
L = 8.5 cm
perimeter, P = 24 cm
2(L+W) = 24
substitute L = 8.5
2(8.5+W) = 24
8.5 + W = 24/2 = 12
W = 12 - 8.5 = 3.5 cm