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Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Answer:
b
Step-by-step explanation:
Answer and Step-by-step explanation:
These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.
They are functions revealing the shape of a right triangle.
Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.
Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.
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Answer:
$204.89
Step-by-step explanation:
Step 1
We have to first find the area of the circular sign.
Since the sign is circular in shape, we use the Area of Circle.
Area of a Circle = πr²
r = 1.5 feet
π = 3.14
Area of a Circle = 3.14 × 1.5²
= 7.065ft² or 7.065 square feet.
Step 2
We find out how much it cost to print the circular sign.
We are told in the question that
The printing company charges $29 per square foot
Hence,
1 square foot = $29
7.065 square feet =
Cross multiply
= 7.065 × $29
=$ 204.885
Approximately to the nearest cent, $204.89
Therefore, it will cost $204.89 to print the circular sign
