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ValentinkaMS [17]
3 years ago
7

PLS HELP! TWO MATH QUESTIONS

Mathematics
2 answers:
zepelin [54]3 years ago
5 0
There is a formula that relates the arc length of a circle of radius, r, to the central angle ,θ in radians. S = r(θ) where S is arc length, r is radius, and θ is the central angle.

So substituting into the formula for the first question we have: 5.4=6(θ) and solving for θ we get 0.9

Now for the second question substituting into the formula we have:
S = 6(\frac{3 \pi }{2})

Solving this for S we find the arc length to be 9π
Ksivusya [100]3 years ago
3 0
Yeah I'm not sure but I think it's 6
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It is A because if you subtract 9 and 6 you get 3 and then you add the 4 and get 7
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Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is th
12345 [234]
25% should be the answer, let me kno if its correct
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The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po
noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

A = B

Step-by-step explanation:

<em>See comment for complete question</em>

Given

A: (4x^2 - 4x)(x^2 - 4)

B: (x^2 + x - 2)(4x^2 - 8x)

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

A: (4x^2 - 4x)(x^2 - 4)

Factor out 4x

A: 4x(x - 1)(x^2 - 4)

Apply difference of two squares on x^2 - 4

A: 4x(x - 1)(x - 2)(x+2)

For, Polynomial B: We have:

B: (x^2 + x - 2)(4x^2 - 8x)

Expand x^2 + x - 2

B:(x^2 + 2x - x - 2)(4x^2- 8x)

Factorize:

B:(x(x + 2) -1(x + 2))(4x^2- 8x)

Factor out x + 2

B:(x -1) (x + 2)(4x^2- 8x)

Factor out 4x

B:(x -1) (x + 2)4x(x- 2)

Rearrange

B: 4x(x - 1)(x - 2)(x+2)

The simplified expressions are:

A: 4x(x - 1)(x - 2)(x+2) and  

B: 4x(x - 1)(x - 2)(x+2)

Hence, both polynomials are equal

A = B

3 0
3 years ago
Let’s write the possible subsets of the following sets and list the proper subsets separately
Arisa [49]

Step-by-step explanation:

(a) subsets are {apple}, { }

(b) subsets are {1}, {2}, {1,2}, { }

proper subsets are {1}, {2}

(c) subsets are

{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }

proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}

(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }

proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}

3 0
3 years ago
Describe the square roots of numbers using 2 sentences.
slava [35]

Answer:

Square roots of numbers less than 1 are between 0 and 1, while square roots of numbers greater than 1 are greater than 1. For numbers between 0 and 1, the square root is greater than the number; for numbers larger than 1, the square root is less than the number.

Step-by-step explanation:

3 0
3 years ago
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