An angle is defined as the figure, in which two rays meet at a common point called the vertex.
Angles are formed when two lines intersect at a point. The measure of the 'opening' between these two rays is called an 'angle'. It is represented by the symbol ∠. Angles are usually measured in degrees and radians, which is a measure of circularity or rotation. In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.
There are two main parts related to an angle - the arms and the vertex. Vertex is a common endpoint that is shared by the two rays. Observe the figure in which the vertex O is marked as the joining point of the two arms.
An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.
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Answer:
C = 12n
Step-by-step explanation:
Let C = the total cost
and n = the number of DVDs
Then
C = 12n
B.)14 in.
C.)360 in.
D.)504 in.
The number of inches of wire which is equivalent to the 14 yards of wire is; 504in.
It follows from the task content that the Leena bought 14 yards of wire.
Additionally, since 1 yard of wire is equivalent to 36 inches of wire.
It therefore follows that 14 yards of wire is equivalent to; 14 × 36 = 504in.
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14 yards of wire multiplied by 36 inches per yard = 504 inches.
If Lena bought 14 yards of wire, then that is converted into 504 inches.
The answer is D.) 504 in.
The positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170. This is obtained by taking the sum of first five numbers, squaring the sum and subtracting the sum of first five perfect squares.
The sum of first five positive integers = 1+2+3+4+5 = 15
Square of the sum of the first five positive integers = 15² = 225
The sum of the first five positive perfect squares =1²+2²+3²+4²+5²
=1+4+9+16+25
=55
The positive differenece = 225-55=170
Hence the positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170.
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Answer:
Step-by-step explanation:
The square of the sum of the first five positive integers:
(1 + 2 + 3 + 4 + 5)² = 15² = 225
The sum of the first positive perfect square:
1² + 2² + 3² + 4² + 5² = 1 + 4 + 9 + 16 + 25 = 55
225 - 55 = 200
The distance traveled by train will be 78 mph will be 13 miles.
The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance totime.
We know that the speed formula
Speed = Distance/Time
If a train travels at 78 mph for 10 minutes.
Convert the number of minutes into hours.
10 minutes = 10 / 60 hours
10 minutes = 1/6 hours
Then the distance traveled by train will be
78 = D / (1/6)
D = 78 / 6
D = 13 miles
The distance traveled by train will be 78 mph will be 13 miles.
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