Answer:
20.12 ft
Step-by-step explanation:
if you take 6^2 and subtract that from 21^2 then you will get your answer after finding the square root of the answer that the calculator gives you.
The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
<h3>What is interval notation?</h3>
It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.
We have:
Continuous set of all numbers between 5 and 6, including 5, but not including 6.
From the above statement we can represent the number in the interval notation:
The numbers are between 5 and 6.
(5, 6)
As it is mentioned that 5 is included and 6 is not included, then:
[5, 6)
Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
Learn more about the interval notation here:
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Answer:
The Fringe of the rug is 754 cm.
Step-by-step explanation:
Given:
radius = 120 cm
We need to find the fringe of the outside rug.
Solution:
Since the rug is in the circular form.
We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.
Then we will find the Circumference of the circle.
Circumference of the circle is given 2 times 'π' times radius 'r'.
framing in equation form we get;
Circumference of the circle = 
Circumference of the circle = 
Hence the Fringe of the rug is 754 cm.
Answer:
2 meters
Step-by-step explanation:
We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).
In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.
Now, we write:
= 6/x
To solve, we just multiply both sides by tan(x) and x:
x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.
Thus, the answer is 2 meters.
Hope this helps!
Answer:
2p² + 14p + 2
Step-by-step explanation:
Given that;
C= 1+p²+3p
B=2p+6p
The expression that equals to : 2C - -B will be;
2{1+p²+3p} - {-2p-6p}
2+2p²+6p + 2p + 6p
2p² + 6p +2p +6p +2
2p² + 14p + 2