Answer:
Step-by-step explanation:
m∠ JHI + m∠GHJ = 180 { linear pair}
m∠JHI + 90 = 180
m∠JHI = 180 -90 = 90
In ΔGHJ and ΔJHI,
GJ = IJ { given}
JH = JH {common}
m∠ JHI = m∠GHJ { above proved}
ΔGHJ ≅ ΔJHI { Angle Side Side congruence}
Answer:
Area = πx² + x² or x²(π + 1)
Step-by-step explanation:
The area of the heart = area of a circle + area of the square
Note:
1. The 2 semicircles makes 1 full circle
2. The diameter of the circle = the side length of the square
Thus:
Area of the heart = πr² + s²
Where,
r = x
s = x
Formula for area of the heart = π(x²) + x² = πx² + x²
Area = x²(π + 1)
6x
Step-by-step explanation:
1.2(4x-1)=8x-2=6x
Answer:

Step-by-step explanation:
u = Initial velocity of baseball
= Angle of hit = 
x = Displacement in x direction = 400 ft
y = Displacement in y direction = 15 ft
= Height of hit = 2.5 ft
= g = Acceleration due to gravity = 
t = Time taken
Displacement in x direction

Displacement in y direction

The minimum initial velocity needed for the ball to clear the fence is 
For this case we have the following equation:

Where, we have the following variables:
x: time in seconds
y: speed in feet per seconds
For the initial velocity, we evaluate x = 0 in the given equation:

Therefore, the initial speed is 12 feet per second.
Answer:
The particle's initially velocity is 12.