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Ilya [14]
3 years ago
15

To divide the sector into two congruent sectors we can use the _________________ construction. A) angle bisector B) copy and ang

le C) copy a triangle D) perpendicular bisector
Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

Option A) angle bisector

Step-by-step explanation:

Angle Bisector:

  • An angle bisector is a line that divides an angle into two equal parts.
  • The angle bisector divide the angle in two equal parts.
  • An angle bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.
  • It cuts the angle into half.
  • Thus, a sector can be divided into two equal sectors by drawing an angle bisector.

To divide the sector into two congruent sectors we can use the angle bisector construction.

Thus, the correct answer is

Option A) angle bisector

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Ethan is a farmer. He spends 50 hours each week working on
Ne4ueva [31]
2/9 of 50 = 11.1
Ethan spends 11.1 hours feeding the animals every week
6 0
2 years ago
Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro
Oksanka [162]

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10

Total outcomes:

2 components, from a set of 6. So

T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15

Probability:

p = \frac{D}{T} = \frac{10}{15} = 0.6667

66.67% probability that all selected components function properly

3 0
3 years ago
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag,
Vladimir [108]
The correct answer is B)
4 0
3 years ago
An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t
Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

\angle ACB=4^{\circ}  (Alternate interior angles)

For any angle \theta, \tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put AB=532\,,\,\angle C=4^{\circ}

\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet

Distance from the base of the cliff to the point on the ground = 7608 feet

Download pptx
5 0
3 years ago
A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle
Dennis_Churaev [7]

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

Length of arc = 28π units

L = ∅/360 × 2πr

28π = 10/360 × 2πr

28π = 1/36 × 2πr

2πr = 28π × 36

π cancelled off.......

2r = 28 × 36

r = (28 × 36)/2

r = 28 × 18

r = 504units

8 0
3 years ago
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