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wlad13 [49]
3 years ago
8

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true? Select two options. The length of

segment YZ is 15.3 cm. The measure of the angle formed by the radius and the apothem is 30°. The length of segment XY can be found by solving for a in 202 – 7.652 = a2. The length of segment WZ is 20 cm. The measure of the central angle, ∠ZXW, is 45°.
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
6 0

The correct answers on edge are C and E

disa [49]3 years ago
6 0

Answer:

C.The length of segment XY can be found by solving for a in 202 – 7.652 = a2.

E. The measure of the central angle, ∠ZXW, is 45°.

Step-by-step explanation:

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal
77julia77 [94]

Votes received by Wayne is 112

<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

<em><u>Juan received 4 times as many votes as Wayne</u></em>

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x  ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

<em><u>Kerry got half as many votes as Neal</u></em>

Kerry votes = half of neal votes

Kerry votes = \frac{4x - 20}{2}  ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112

Therefore votes received by Wayne is 112

4 0
3 years ago
Drag the expressions into the boxes to correctly complete the table. Polynomial Not a polynomial
uranmaximum [27]

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1

\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16

<h3>What are polynomials?</h3>

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:-                            Non-polynomial:-        

x³-7x²+9x-5x⁴-20                     x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1        

x⁵-5x⁴+4x³+2x-1                        \dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1

3x²-5x⁴+2x-12                           \sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16

Therefore the polynomials and non-polynomials are shown in the table above.

To know more about polynomials follow

brainly.com/question/2833285

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5 0
1 year ago
A skateboarder starting from rest accelerates down a ramp at 2 m/s for 2 s. What is the final speed of the skateboarder
Sedaia [141]

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Time taken by the skateboard (t) = 2s

By using equation of motion, we get:

\bf \longrightarrow v = u + at \\  \\ \rm \longrightarrow v = 0 + 2 \times 2 \\  \\ \rm \longrightarrow v = 4 \: m {s}^{ - 1}

\therefore Final speed of the skateboard(v) = 4 m/s

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Answer there is no choice, but it is x+1/3+2 1/2.

Step-by-step explanation:

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