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:
4
or 4.75
Step-by-step explanation:
first we're going to convert the number into improper fractions.
7
= 
and 2= 
For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply x2, it'll equal the same number.
So now we have 
-, 30-11= 19.
simplified is, 4.
As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.
I hope this helps you!
Answer:
0.9
Step-by-step explanation:
4/3 by 1.5
to divide 4/3, we have to convert it to decimal too
so 4/3 = 1.333 repeatedly
4/3 by 1.5=1.333/1.5
0.8886
0.9 approximately
Answer:
- 110110 in base 2 when converted in base 10 will be equal to 54
- 25 in base 10 is equal to 1001 base 2
Step-by-step explanation:
Part 1: 110110two to base ten
For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2
So
So 110110two when converted in base 10 will be equal to 54
Part 2: 25ten to base two
For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:
25/2 = 12 remainder 1
12/2 = 6 remainder 0
6/2 = 3 remainder 0
3/2 = 1 remainder 1
Now the remainders will be written in inverse order as:
=1001 base 2
So 25 in base 10 is equal to 1001 base 2
I hope it will help you!
