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3 years ago

Find the measure of major arc OQN. M K IN 38 6 P

Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

Measure of the major arc OQN = 292°

Step-by-step explanation:

Measure of the major arc OQN = 360° - m(arc ON)

By the definition of central angle subtended at the center by the arc,

Measure of arc ON = Central angle subtended by the arc

= 38°

Now measure of the major arc OQN = 360° - 38°

= 292°

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Distance between (5,0) and (2,-2)

GuDViN [60]

Answer: d(distance) = $\sqrt13\\$

Hope this help!

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3 years ago

On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th

Elena L [17]

Answer:

The area of triangle for the given coordinates is 1.5 $\sqrt{4.6}$

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, a = $\sqrt{(3-0)^{2}+(4-0)^{2}}$

Or, a = $\sqrt{9+16}$

Or, a = $\sqrt{25}$

∴ a = 5 unit

Similarly

The measure of length BC = b = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, b = $\sqrt{(3-3)^{2}+(2-4)^{2}}$

Or, a = $\sqrt{0+4}$

Or, b = $\sqrt{4}$

∴ b = 2 unit

And

So, The measure of length CA = c = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, c = $\sqrt{(3-0)^{2}+(2-0)^{2}}$

Or, c = $\sqrt{9+4}$

Or, c = $\sqrt{13}$

∴ c = $\sqrt{13}$ unit

Now, area of Triangle written as , from Heron's formula

A = $\sqrt{s\times (s-a)\times (s-b)\times (s-c)}$

and s = $\frac{a+b+c}{2}$

I.e s = $\frac{5+2+\sqrt{13}}{2}$

Or. s = $\frac{7+\sqrt{13}}{2}$

So, A = $\sqrt{(\frac{(7+\sqrt{13})}{2})\times ((\frac{(7+\sqrt{13})}{2})-5)\times (\frac{7+\sqrt{13}}{2}-2)\times (\frac{7+\sqrt{13}}{2}-\sqrt{13})}$

Or, A = $\sqrt{(\frac{(7+\sqrt{13})}{2})\times (\frac{(\sqrt{13}-3)}{2})\times (\frac{4+\sqrt{13}}{2})\times (\frac{7-\sqrt{13}}{2})}$

Or, A = $\frac{3}{2}$ × $\sqrt{1+\sqrt{13} }$

∴ Area of triangle = 1.5 $\sqrt{4.6}$

Hence The area of triangle for the given coordinates is 1.5 $\sqrt{4.6}$ Answer

7 0

3 years ago

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36 is a multiple of which two numbers? 4 and 8 5 and 8 4 and 10 9 and 12

Dafna11 [192]

Answer:

9 and 12

Step-by-step explanation:

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3 years ago

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Select the correct solution for the expression. 2 5 + 3 8

77julia77 [94]

Answer:

25+38= 63

Step-by-step explanation:

Used a calculator.

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2 years ago

Question 9 of 10

Sophie [7]

Answer:

Step-by-step explanation:

its a triangle all sides are equal. so it would be d-60 degrees

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3 years ago