Answer:
Perimeter = 98 cm
Area = 596 
Step-by-step explanation:
Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.
Perimeter of a figure = Sum of all its sides + Perimeter of circle
Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.
The sides of this resultant figure = 30 - 14 = 16 cm
and 25 - 14 = 11 cm
So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle
To find area of this figure = Area of rectangle - Area of circle
Area of rectangle = Length 
Width
Area of circle = 
So, area of figure = 750 - 154 = 596
Answer:
x=60, y=30
Step-by-step explanation:
4x-7y=30
4x-5y=90
Subtract the equations
4x-7y=30-4x-5y=90
=2y=60
Solve 2y=60
Divide both sides by 2
2y/2=60/2
Simplify;
y=30
For 4x-7*30=30 for x
4x-7y*30=30
Multiply the numbers:7*30=210
4x-210=30
Add 210 to both sides
4x-210+210=30+210
Simplify;
4x=240
Divide both sides by 4
4x/4=240/4
Simplify
x=60
The solutions to the system of equations are:
x=60, y=30
Hope this helped!!!
Answer:
we know that, 1miles/hour = 0.45m/s
or, 1meters/second = 1/0.45
1m/s = 2.22222222222
Step-by-step explanation:
Then,
72.0 meters/second = 72.0*2.22222222222
=160 miles per hour.
Answer: Boat cost $ 3200
Trailer cost $ 800
Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)
i.e t = 1/4b
multiply through by 4
4t = b
both cost 4,000
i.e t + b = 4000
recall: b = 4t
therefore
t + 4t = 4000
5t = 4000
t = 4000/5
t = 800
b = 4000 - 800
b = 3200
