Answer:
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It is 18 because the radius is half the diameter and 9 x 2 = 18.
Hi!
Add the student together to get the number of students
10+4 = 14
Divide the girls by half
4/2 = 2
2/14 is the answer for this question.
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Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
Answer:







Step-by-step explanation:
Required
Simplify
Solving (1):

Factorize the numerator and the denominator

Factor out x+2 at the numerator

Express x^2 - 9 as difference of two squares


Expand the denominator

Factorize


Cancel out same factors

Hence:

Solving (2):

Expand the numerator and factorize the denominator

Factorize the numerator

Factor out x - 2

Cancel out x - 2

Hence:

Solving (3):

Express x^2 - 9 as difference of two squares

Factorize all:

Cancel out x + 3 and 3 + x


Express
as 



Hence:

Solving (4):

Expand x^2 - 6x + 9 and factorize 5x - 15

Factorize


Cancel out x - 3

Change / to *

Express
as 



Hence:

Solving (5):

Factorize the numerator and expand the denominator

Factor out x - 1 at the numerator and factorize the denominator

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator


Hence:

Solving (6):

Factorize:

Divide by 3x

Hence:

Solving (7):

Change / to *

Expand

Factorize


Cancel out x - 2 and x - 1

Cancel out x



Hence:
