Answer: X = 7√2
Step-by-step explanation:
Let first Consider triangle BDC,
Cos C = adjacent/ hypothenus
Cos C = 7 / x ...... (1)
Also, let consider triangle ABC
Cos C = adjacent / hypothenus
Cos C = x / 14 ....... (2)
Since angle C is the same, equate equation 1 to 2
7/ x = x / 14
Cross multiply
X^2 = 98
Make x the subject of formula
X = sqrt (98)
X = sqrt ( 49 × 2 )
X = sqrt (49) × sqrt (2)
X = 7 sqrt(2)
X = 7√2
Answer:
She scored 1200 in all ten games
Answer:
The rate rate of change of radius is
inches per second when the diameter is 12 inches.
The radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Consider the provided information.
A spherical balloon is being inflated at a rate of 3 cubic inches per second.
The volume of sphere is 
Differentiate the above formula with respect to time.

Substitute the respective values in the above formula,


The rate rate of change of radius is
inches per second when the diameter is 12 inches.
When d=16


Thus, the radius is changing more rapidly when the diameter is 12 inches.
Answer:
Distance of the point from its image = 8.56 units
Step-by-step explanation:
Given,
Co-ordinates of point is (-2, 3,-4)
Let's say



Distance is measure across the line

So, we can write




Since, the equation of plane is given by
x+y+z=3
The point which intersect the point will satisfy the equation of plane.
So, we can write




So,









Now, the distance of point from the plane is given by,






So, the distance of the point from its image can be given by,
D = 2d = 2 x 4.28
= 8.56 unit
So, the distance of a point from it's image is 8.56 units.
Answer:
Step-by-step explanation:
radius = d/2=22/2=11
area=pi*r*r=22/7*11*11
=380.28