Answer:
Step-by-step explanation:
Use th egemotric shape that is where 2 lines meet
Answer:
Z = 258Ω
Step-by-step explanation:
There are two methods of solving this question,
First method
Z = ( RXL)/ sqr rt ( R²+XL²)
Z= (330 Ω × 420 Ω)/ sqr rt ( 330 Ω² + 420 Ω²)
Z = 138600 Ω /534
Z = 259 Ω
THE second complete method is given in attachment below
If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.
<h3>What was the relation between the
central angle and its
intercepted arc?</h3>
- If the vertex of an angle exists in the center of the circle and the two sides of the angle are radii in the circle, then this angle exists named a central angle.
- Each central angle exists subtended by the opposite arc, the name of the arc exists the starting point and the finish point of the angle.
- There exists a relation between the central angle and its subtended arc the measure of the central angle equals half the measure of its subtended arc.
- The length of the subtended arc relies on the measurement of its central angle and the length of the radius and the measure of the arc.
- The measurement of the circle exists at 360°.
- The length of the circle exists at 2πr.
The radius of the circle r = 2.4 kilometers
The measure of the central angle exists at 150°.
The length of the arc = central angle/360 × 2πr
The length of the arc = 150°/360° × 2 × π × 2.4 = 2π
The length of the arc exists 2π kilometers.
To learn more about arc length refer to:
brainly.com/question/11134371
#SPJ4
Answer:
B) 120 degrees
Step-by-step explanation:
The two triangles are the same, so first find the measure of angle B.
To do this first solve for angles A and C. Solve for A first: 4x or 4(5), which is 20 degrees. Now solve for C: 8x or 8(5), which is 40 degrees. Add 40 + 20 degrees to get 60 degrees total of those two angles.
A triangle has 180 total degrees, so to solve for the measure of Angle B, subtract 180 - 60 to get 120 degrees.
Since the two triangles are the same, Angle D is the measure as Angle B.
Hope it helps!
