Answer: area = 379.7 mm²
Perimeter = 95.84 mm
Step-by-step explanation:
The composite shape contains a semi circle and a trapezoid.
The area of a semi circle is
1/2 × πr²
Radius = diameter/2
Radius = 20/2 = 10 mm
Area = 1/2 × 3.14 × 10 = 15.7 mm²
Area of trapezoid is expressed as
1/2(a + b)h
Area = 1/2 × (20 + 32)14
Area = 1/2 × 52 × 14) = 364mm²
Area of the composite shape is
15.7 + 364 = 379.7 mm²
Formula for determining the perimeter of the semicircle is
1/2 × πd
Perimeter = 1/2 × 3.14 × 20 = 31.4mm
Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 12² + 14² = 340
h = √340/= 18.44
Perimeter of the composite shape is
31.4 + 14 + 32 + 18.44 =95.84 mm
The answer your looking for is 0.014
Since 1 foot = 12 inches,
5 feet x 12 inches = 60 inches
Jason would be 60 inches + 11 inches tall which would = 71 inches.
71 inches is greater than 63 inches.
And 71 in -63 in= 8 in.
Therefore, Jason is taller by 8 inches
Answer:
slope is 2
Step-by-step explanation:
find the change in y and x to then divide them
17-1/5- -3 = 16/8 = 2
Options :
A) 50t + 60t =4002
B) (50t)2+(60t)2 = 4002
C) 50t + 60t = 400
C) 50t2 + 60t2 = 4002
Answer:
400^2 = (50*t)^2 + (60*t)^2
Step-by-step explanation:
Given the following :
Ms. Ironperson:
moves due east
Speed = 50 mph
Rate of travel = 50t
Let time taken = t ; hence Distance covered with respect to time = ( 50 * t) = 50t
Mr. Thoro
moves due South
Speed = 60 mph
Rate of travel = 60t
Let time taken = t ; hence Distance covered with respect to time = ( 60 * t) = 50t
They are moving at right angle from each other, thus, we can apply Pythagoras rule ;
The displacement between them will be = 400 miles which is the hypotenus
From Pythagoras :
Hypotenus^2 = opposite^2 + Adjacent^2
Displacement = distance 1 + distance 2
400^2 = (50*t)^2 + (60*t)^2
