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Lesechka [4]
3 years ago
12

20 points PLEASE HELP IT'S DUE TODAY

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

Step-by-step explanation:

Arc length of the circle is given by,

Arc length = \frac{\theta}{360^{\circ}}(2\pi r)

Area of the sector of a circle = \frac{\theta}{360^{\circ}}(2\pi r)

22). Arc length of the circle having central angle = \frac{\pi}{3}

                                                                                 = 60°

Arc length = \frac{60^{\circ}}{360^{\circ}}(2\pi )(7)

                 = \frac{14\pi }{6}

                 = 7.33 cm

23). Arc length of the circle having central angle = 225°

Arc length = \frac{225^{\circ}}{360^{\circ}}(2\pi )(10)

                 = 12.5π

                 = 39.27 km

24). Central angle = \frac{5\pi }{4}

                              = \frac{5\times 180^{\circ}}{4}

                              = 225°

Area of the sector = \frac{225^{\circ}}{360^{\circ}}(2\pi )(11)

                               = 43.20 yd²

25). Area of the sector = \frac{270^{\circ}}{360^{\circ}}(2\pi )(14)

                                      = 65.97 yd²

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matrenka [14]
If 3 = m^x, then we know 9 = (m^x)^2 because 9 is 3 squared.

(m^x)^2 can be simplified to m^{2x}

So now we know 9m^2 = m^{2x}·m^2

Since m^{2x} and m^2 have the same base, we can express it as a single term by adding the exponents together.

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3 0
3 years ago
Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

8 0
2 years ago
Solve this question 2√8+√8<br> A. 3√8 <br>B.24 <br>C.16√8<br> D.2√8
Lisa [10]

Answer:

Simplify each radical, then combine.

3√8

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

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4 0
3 years ago
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coldgirl [10]
A is (-1/2, -1/4) because it's on the points (-0.5, -0.25), B is (-2 1/2, 1 1/2) because it's on the points (-2.5, 1.5), and C is (1/4, 1/2) because it's on the points (0.25, 0.5) . Hope this helps!
7 0
3 years ago
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How do I evaluate each using the values given <br><br> q- m/2; use m=2, and q=6
EleoNora [17]

Answer:

5

Step-by-step explanation:

q- m/2

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