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Contact [7]
3 years ago
9

How to do arc measurements?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer: divide the arc's central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length.

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Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
3 years ago
A clothing pattern calls for 4.81 yd2 of fabric. How many square inches of fabric does the pattern use?
Vera_Pavlovna [14]
Total square inches of fabric. 
To answer this question you need to know how many square inches makes up one square yard.

1296 square inches makes one square yard. 

Therefore total square inches =
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4 0
3 years ago
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LUCKY_DIMON [66]

The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product 
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A school bought 32 new desks each desk coast 24$ estimate how much the school spent on the new desks
mezya [45]
You would solve this with multiplication. If each desk costs $24 and they bought 32 desks then to find out to total cost of all the desks you would multiply 24x32 
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360 Kilometers is 24% of _____ Kilometers
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Divide 360 by 24 to find 1%. Then multiply by 100. 360/24 *100= 1500
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