Answer:
60 seconds.
Step-by-step explanation:
We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.
To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.
Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..
We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.
13) Angle 1= 54 Angle 2=36
14) Angle 1=122 Angle 2=58
15) Angle 1=51 Angle 2=39
Attached is the work
Hope this helps!
Answer:
7.5 seconds
Step-by-step explanation:
Thus, the time required for the object to return to its point of departure is 7.5 seconds.
Answer:
7261.92
Step-by-step explanation:
Product means you mutilpy them together
The area of circle having radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².
Given the radius and diamtere are (a) Radius (r) = 3 cm (b) Diameter (d) = 5 cm (c) Radius (r) = 8 ft. (d) Diameter (d) = 12 cm (f) Diameter (d) = 20 km (g) Diameter (d) = 15 mm (i) Radius (r) = 16 yd.
We will calculate the area of circle by using the formula A=πr² or π(d/2)².
(a) Radius (r)=3cm
The area of circle is
Area=π(3)²
Area =9π
Here, π=3.14, we get
Area =9×3.14
Area=28.27cm²
(b) Diameter (d)=5cm
The area of circle is
Area=π(5/2)²
Area =π(2.5)²
Area=6.25π
Here, π=3.14, we get
Area =6.25×3.14
Area=19.63cm²
(c) Radius (r)=8 ft
The area of circle is
Area=π(8)²
Area =64π
Here, π=3.14, we get
Area =64×3.14
Area=201.06ft²
(d) Diameter (d)=12cm
The area of circle is
Area=π(12/2)²
Area =36π
Here, π=3.14, we get
Area =36×3.14
Area=113.1cm²
(e) Diameter (d)=20km
The area of circle is
Area=π(20/2)²
Area =100π
Here, π=3.14, we get
Area =100×3.14
Area=314.16km²
(f) Diameter (d)=15mm
The area of circle is
Area=π(15/2)²
Area =56.25π
Here, π=3.14, we get
Area =56.25×3.14
Area=176.71mm²
(g) Radius (r)=16yd
The area of circle is
Area=π(16)²
Area =256π
Here, π=3.14, we get
Area =256×3.14
Area=804.25yd²
Hence, the area of circle having radius and diameter is radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².
Learn more about the area of circle from here brainly.com/question/17096708
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