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3 years ago

Based on the diagram can point D be the centroid of triangle ACF? Explain

Mathematics

2 answers:

Nataly [62]3 years ago

7 0

Answer:

Step-by-step explanation:

the ratio between AD and DE is 3:1.

The geometric centroid (center of mass) of the polygon vertices of a triangle is the point D which is also the intersection of three triangle's medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

expeople1 [14]3 years ago

4 0

Answer:

3:1 Ur welcome

Step-by-step explanation:

Yes, point D is the point of intersection of segments drawn from all three vertices.

Yes, DE is three-quarters of the length of the full segment.

No, DE should be longer than AD.

No, the ratio between AD and DE is 3:1

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A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?

astraxan [27]

Answer:

$Rate = \$0.05$

Step-by-step explanation:

Given

$Base\ Amount = \$0.50$

$Additional = \$0.05$

Required

Determine the rate of change.

From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.

This charge represent the rates at which the fee changes on a daily basis.

Hence:

$Rate = \$0.05$

8 0

3 years ago

The table shows the relationship between the number of Calories Lucie burns while jumping rope and the number of minutes she jum

iragen [17]

Answer:

The amount of calories Lucie will burn by jumping for 1 minute is 8 calories

Step-by-step explanation:

The given data values are;

Minutes ${}$ Calories Burned

40 ${}$ 320

80 ${}$ 640

120 ${}$ 960

160 ${}$ 1280

The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;

40 minutes of jump rope will yield 320 calories burnt

Therefore we have;

1 minute of jump rope will yield 320/40 = 8 calories burnt

The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.

8 0

3 years ago

2c – 4 = 3(4 – 2c) please find c

astraxan [27]

Answer:

c = 2

Step-by-step explanation:

2c – 4 = 3(4 – 2c)

Expand brackets:

⇒ 2c – 4 = 12 - 6c

Add 6c to both sides:

⇒ 8c – 4 = 12

Add 4 to both sides:

⇒ 8c = 16

Divide both sides by 8:

⇒ c = 2

6 0

3 years ago

Read 2 more answers

Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/2

siniylev [52]

Answer: The probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

Step-by-step explanation:

We are given:

Probability of success of Xavier, $P(S)_{Xavier}=\frac{1}{4}$

Probability of failure of Xavier, $P(F)_{Xavier}=1-\frac{1}{4}=\frac{3}{4}$

Probability of success of Yvonne, $P(S)_{Yvonne}=\frac{1}{2}$

Probability of failure of Yvonne, $P(F)_{Yvonne}=1-\frac{1}{2}=\frac{1}{2}$

Probability of success of Zelda, $P(S)_{Zelda}=\frac{5}{8}$

Probability of failure of Zelda, $P(F)_{Zelda}=1-\frac{5}{8}=\frac{3}{8}$

We need to calculate:

The probability that Xavier and Yvonne can solve the problem but Zelda cannot, we use:

$P(S)_{Xavier}\times P(S)_{Yvonne}\times P(F)_{Zelda}=\frac{1}{4}\times \frac{1}{2}\times \frac{3}{8}=\frac{3}{64}$

Hence, the probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

6 0

3 years ago

????????????????????

Hoochie [10]

Answer:

12 hours

hope its right and it helps

Step-by-step explanation:

300/25

5 0

3 years ago