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Annette
3 months ago
9

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

Mathematics
2 answers:
Svet_ta [12.7K]3 months 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 [12.5K]3 months 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.

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
Zina [12379]

Answer:

2x+178\geq 2000

Step-by-step explanation:

Let the number of cans collected by Shane be x.

Thus, the number of cans collected by Abha is x + 178.

Given that a minimum of 2000 cans is required to be collected.

Therefore, we have the inequality,[ [TAG_19]]

Total cans by Shane + Total cans by Abha ≥ 2000.

That is, x+(x+178)\geq 2000

Thus, the necessary inequality is 2x+178\geq 2000.

4 0
2 months ago
Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
AnnZ [12381]

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45 kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The price is $9.70 per kilogram.

6 0
3 months ago
Use synthetic division to solve (x^3 + 1) ÷ (x – 1). What is the quotient?
Leona [12618]
What options do you have?
7 0
3 months ago
Read 2 more answers
If xy + 5ey = 5e, find the value of y'' at the point where x = 0.
Zina [12379]

Response:

1 (only applicable if e is not zero)

Detailed explanation:

xy + 5ey = 5e

0y + 5ey = 5e

y = 5e/5e

y = 1

6 0
3 months ago
9. A quality-control specialist for an electronics manufacturer estimates that 0.25% of the televisions produced each day by her
lawyer [12517]

Answer:

33.75

Step-by-step explanation:

The manufacturer makes an average of 450 televisions daily, with 0.25% being defective each day.

Hence

0.25% of 450 gives the count of defective televisions produced per day

Thus

0.25% /100 x 450

0.0025 x 450

1.125

This indicates that about 1.125 televisions produced on a daily basis are defective.

To estimate defective televisions over 30 days, multiply the daily defective output by 30, since the manufacturer averages 450 daily

Thus

1.125 x 30

33.75

Approximately 33.75 televisions will be defective over 30 days

6 0
2 months ago
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