A circle with a CENTER 0 has a diameter of 16 cm. Points m and n are placed on the circle so that m/_MON =270. find the length of the intercepted arc of MN use 3.14 for pia. 21.4
b. 28.3
c. 32.5
d. 37.7

The answer is C Trina is not correct because the two sides of the equation are equivalent

Answer:

To compute the length of the curve f(x)=47(4−x2) over the interval 0≤x≤2, we need to use the formula for the arc length of a function:

L=∫ab1+(f′(x))2dx

where a and b are the endpoints of the interval. First, we need to find the derivative of f(x), which we can do by using the chain rule and the power rule:

f′(x)=4dxd7(4−x2)

f′(x)=427(4−x2)1dxd(7(4−x2))

f′(x)=427(4−x2)1(−14x)

f′(x)=−7(4−x2)28x

Next, we need to plug in f′(x) into the formula and simplify:

L=∫021+(−7(4−x2)28x)2dx

L=∫021+7(4−x2)784x2dx

L=∫027(4−x2)7(4−x2)+784x2dx

L=∫024−x228−21x2dx

Now, we need to evaluate the integral, which we can do by using a trigonometric substitution. Let x=2sinu, then dx=2cosudu and u=arcsin(x/2). The limits of integration change as follows:

x=0⟹u=0

x=2⟹u=2π

The integral becomes:

L=∫02π4−(2sinu)228−21(2sinu)2(2cosu)du

L=∫02π4−4sin2u28−84sin2u(2cosu)du

L=∫02π1−sin2u7−21sin2u(2cosu)du

L=∫02πcos2u7−21sin2u(2cosu)du

L=∫02π27−21sin2udu

Using a trigonometric identity, we can write:

L=∫02π4127−1221cos(2u)du

Using another trigonometric substitution, let v=2u, then dv=2du and u=v/2. The limits of integration change as follows:

u=0⟹v=0

u=2π⟹v=π

The integral becomes:

L=∫0π4127−1221cosv(21)dv

L=6∫0π 

Answer:

The information you provided appears to be a list of angles along with terms related to angles.

1. 29°: This is the measure of an angle. It represents an angle that is less than 90° and is called an acute angle.

2. J7: It is not clear what "J7" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.

3. 61°: This is another measure of an angle. It represents an angle that is less than 90° and is also called an acute angle.

4. یاب: "یاب" is a Persian word meaning "find" or "solve." In the context of angles, it is not clear what it refers to. If you have a specific question or problem related to angles, please provide more details so I can assist you further.

5. 45°: This is the measure of an angle. It represents an angle that is exactly half of a right angle and is called a right angle.

6. 2: It is not clear what "2" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.

7. 135⁰: This is another measure of an angle. It represents an angle that is greater than 90° but less than 180°. It is called an obtuse angle.

The terms mentioned in the list, such as "Complementary Angles," "Adjacent Angles," "Vertical Angles," and "Supplementary Angles," are concepts related to angles:

- Complementary Angles: Two angles are considered complementary if the sum of their measures is equal to 90°. For example, if one angle measures 30°, the other angle that makes it complementary would measure 60°.

- Adjacent Angles: Two angles are considered adjacent if they have a common vertex and a common side between them. In other words, they share a ray. For example, if you have a straight line and divide it into two angles at a point, those angles would be adjacent.

- Vertical Angles: Vertical angles are formed by two intersecting lines. They are opposite each other and have equal measures. For example, if two lines intersect and form four angles, the angles that are opposite to each other (across the intersection) are vertical angles.

- Supplementary Angles: Two angles are considered supplementary if the sum of their measures is equal to 180°. For example, if one angle measures 120°, the other angle that makes it supplementary would measure 60°.

If you have any specific questions about these concepts or would like further clarification, please let me know!

Answer:

1. Complementary.

2. Adjacent.

3. Vertical.

4. Supplementary.

Step-by-step explanation:

The options we have are complementary, supplementary, adjacent, and vertical angles. So we should probably start by explaining briefly what each  of these are.

Complementary angles are angles that when added together, equal 90°.

Supplementary angles are angles that when added together, equal 180°.

Adjacent angles are angles with a common side and a common vertex (they share a side and start from the same point).

Vertical angles are pairs of opposite angles made by two intersecting lines.

1. Let's look at the first option. We see two angles marked, 61° and 29°. Note that 61 and 29 add to 90. That means these angles must be complementary.

2. Let's look at the second option. We see two angles marked, 1 and 2. Note that the share a side (the line/arrow between them) and a vertex (they start from the same point. That means these angles must be adjacent.

3. Let's look at the third option. We see two angles marked, 1 and 2. Note that they are made by two intersecting lines and are located opposite each other. That means these angles must be vertical.

4. Finally, let's look at the second option. We see two angles marked, 45° and 135°. Note that 45 and 135 add to 180. That means these angles must be supplementary.

we are given

original fare =360

new fare =270

now, we can find decrease in fare

decrease in fare = original fare - new fare

so, we can plug value

decrease in fare = 360-270

decrease in fare =90

now, we can find percentage decrease in fare

%...........Answer

Answer: I will just start off saying I love how they made this question harry potter themed but anyways the answer is 25%