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:
c(t) = 25 +12 * t
where t is the number of shirts
Step-by-step explanation:
The total cost for the shirts is the flat fee plus the cost per shirt times 150 shirts
total = fee + cost per shirt* shirts
1825 = 25 +c*150
where c is the cost per shirt
We need to determine the cost per shirt by subtracting 25 from each side
1825-25 = 150c
1800 =150c
Divide by 150 on each side
1800/150 =150c/150
12 =c
Each shirt costs 12 dollars
We want to make the function in terms of cost per shirt
c(t) = 25 +12 * t
where t is the number of shirts
Answer:
yes it's true because 3 groups of 8 is 24
Answer:
Continuous
Step-by-step explanation:
The area of a triangle is continuous. It can be any measure of fraction or decimal depending on the side lengths. It has no restrictions to be only whole numbers or a specific set of numbers.
Answer:
x=16
Step-by-step explanation:
Because this is an isosceles triangle the angle 2x+3 is the same as the missing angle. The angles in triangles add up to 180 degrees. 180-110=70.
Because the two angles are the same you can divide 70 by 2 to get 35.
35=2x+3.
35-3=2x+3-3
32=2x
32/2=2x/2
16=x
