Answer:
6
Step-by-step explanation:
12+x=3x
2x=12
x=6
Answer:
the perimeter is 960
Step-by-step explanation:
The computation of the perimeter is shown below;
If we assume
= (24 × 2) + (6 × 2)
= 48 + 12
= 60
And, the area is 16 times to that of original So
= 60 × 16
Hence, the perimeter is 960
Answer:
Step-by-step explanation:
Given as :
The distance cover while running = 
= 5 miles
Let The speed for running = 
The distance cover with bike = 
= 80 miles
The speed for biking = 
= 15 mph +
Total Time taken = 5 hours
Now Time = 
∴ 5 hour = 
+ 
Or, 5 hour = 
+ 
Or, 5 hour = 
or, 5 × (
) = 
Or, 
- 
= 0
or, 
= 0
or, 
= 0
Or, 
= 0
Or, 
= 0
Or, 
= 0
∴ = 3 , - 5
So, the running speed = 3 mile per hour
And the biking speed = 15 mph + 3 mph = 18 mile per hour
Hence The running speed of Stu is 3 mile per hour . Answer
Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6
The negatives cancel to form a positive. The answer is
