<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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Answer:
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Step-by-step explanation:
The first set of equations is:
It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get
Putting x=5 in equation 1
The solution is (5,2)
The second set of simultaneous equations is:
We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations
Putting y= -1 in first equation
The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Answer:
hypotenuse²=base²x height²
Step-by-step explanation:
It is used to find the third side of a triangle.
Hope it helps :)
There are many reasons why there are differences in price in Lemonade.
The first is the volume or amount of the Lemonade. Obviously, the greater the amount of the Lemonade, the higher is its price.
The price of the lemonade is given, the unit price then is
$4.99/95 ounces = $0.053/ounce
Another reason is the difference in the ingredients. Some Lemonade might have additional ingredients that could make the price higher.
The difference in materials costs in different areas may also be the reason.
