David is performing the following construction. Based on the markings that are present, what construction is he performing?

Mathematics

2 answers:

Svet_ta [4.3K]14 days ago

8 0

Answer:

He is dividing the angle BAC into two equal parts.

Step-by-step explanation:

Initially, he places the compass at point A and draws two small arcs intersecting points D and E. Next, setting the compass at D and then at E, he draws two arcs that intersect between the line segments AB and AC.

The bisecting line is drawn from point A through the intersection of these arcs.

Inessa [3.9K]14 days ago

3 0

Answer:

Dividing an angle into two equal halves

Step-by-step explanation:

David starts by drawing angle CAB as shown in $\angle CAB$ .

He then draws an arc cutting the sides AC at point D and AB at point E.

With center at E, an arc is drawn, followed by another arc with center at D.

The two arcs intersect at a certain point.

Connecting point A to this intersection yields the angle bisector of $\angle CAB$ .

Hence, by observing the markings, he is effectively bisecting the angle.

An angle bisector is a line or segment that splits an angle into two equal angles.

You might be interested in

Finally, suppose m1→∞, while m2 remains finite. what value does the the magnitude of the tension approach?

AnnZ [3877]

The tension does not approach infinity.
Let's analyze free body diagrams (FBDs) for each mass, considering the direction of motion of m₁ as positive.

For m₁: m₁*g - T = m₁*a

For m₂: T - m₂*g = m₂*a

Assuming a massless cord and pulley without friction, the accelerations are the same.

From the second equation: a = (T - m₂*g) / m₂

Substitute into the first:
m₁*g - T = m₁ * [(T - m₂*g) / m₂]
Rearranging:
m₁*g - T = (m₁*T)/m₂ - m₁*g
2*m₁*g = T * (1 + m₁/m₂)
2*m₁*m₂*g = T * (m₂ + m₁)
T = (2*m₁*m₂*g) / (m₂ + m₁)
Taking the limit as m₁ approaches infinity:
T = 2*m₂*g

This aligns with intuition since the greatest acceleration m₁ can have is -g. The cord then accelerates m₂ upward at g while gravity acts downward, leading to a maximum upward acceleration of 2*g for m₁.

5 0

14 days ago

A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon

Leona [4166]

Answer and image included:

3 0

7 days ago

Read 2 more answers

if a student scored 78 points on a test where the mean score was 84.5 and the standard deviation was 3.1. the student's z score

Inessa [3907]

Answer:

(value - mean)/standard deviation.