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Airida [17]
4 years ago
10

The figure was created by repeatedly reflecting triangle NMP. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Mathematics
2 answers:
Ber [7]4 years ago
6 0

Answer:

Perimeter  = 42 inches

Explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. In case of any diagram or figure, we add all the outer sides of the figure to get perimeter.

Here, outer sides are :

4, 4, 4, 4, 4, 4, 4, 6, 8

Now add all the sides together.

Permeter = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 6 + 8 = 42 inches.

Final answer is 42 inches

egoroff_w [7]4 years ago
3 0
42 because i got it wrong and it showed me the right answer
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The ratio that comes next in the sequence is 8:23.

<h3 /><h3>Definition of a ratio</h3>

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value.

<h3 /><h3>How to determine the numbers that come next</h3>

Looking at the first ratio in the sequence, the number on the left increases by 1 in the second ratio. In the second ratio, the number on the left increases by 2 and for the third ratio. The difference between the third and fourth ratio is 1 for the number on the left. This shows that the sequence for the numbers on the left is 1, 2, 1. Thus the next number would increase by 2.

Looking at the first ratio in the sequence, the number on the right increases by 4 in the third ratio. In the fourth ratio, the number on the right increases by 4 when compared with the third ratio.  This shows that the sequence for the numbers on the right is an increase by 4.

To learn more about ratios, please check: brainly.com/question/25927869

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What fraction of a circle is spanned by a central angle of 60 degrees
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Answers should be exact decimals (please do not leave as fractions or unfinished calculations). A six-sided die (cube) with face
Ghella [55]

Answer:

(a) P = 0.0001

(b) P = 0.6561

(c) P = 0.2916

(d) P = 0.3439

(e) P = 0.2

Step-by-step explanation:

This is a probability problem.

The dice is rolled 4 times (n=4) and we calculate the probability of different outcomes.

The probability of a 6 in a roll is 0.5.

The probability of a 1, 2, 3, 4 or 5 in a roll is 0.5/5=0.1.

<u />

<u>a) Outcome: all the rolls are 2.</u>

The probability of having a 2 in a roll is 0.1, so we can calculate the probability of having a 2 in four consecutive rolls as

P(x1=2;x2=2;x3=2;x4=2)=P(x=2)^4=0.1^4=0.0001

<u>b) Outcome: none of the rolls is a 2.</u>

The probability of having any other number but 2 in 4 rolls is:

P(x1\neq2;x2\neq2;x3\neq2;x4\neq2)=P(x\neq2)^4=(1-0.1)^4=0.6561

<u>c) Outcome: exactly one roll is a 2</u>

This is the sum of the probability of having a 2 in the first, second, third or fouth roll, and others numbers in the rest of the rolls. These 4 combinations have the same probability, so we will multiply it by 4.

P(exactly \,one\,2)=4*P(x1=2;x2\neq2;x3\neq2;x4\neq2)\\\\P(exactly \,one\,2)=4*0.1*0.9*0.9*0.9=0.2916

<u>d) Outcome: at least one of the rolls is a 2</u>

In this case, is the probability of having at least one 2, is the sum of the probability of getting a 2 in the first roll, the probability of getting a 2 in the second roll, the probability of getting a 2 in the third roll and the probability of getting a 2 in the four roll:

P(x1=2)+P(x2=2)+P(x3=2)+P(x4=2)=0.1+0.9*0.1+0.9*0.9*0.1+0.9*0.9*0.9*0.1\\\\P(x1=2)+P(x2=2)+P(x3=2)+P(x4=2)=0.1+0.09+0.081+0.0729\\\\P(x1=2)+P(x2=2)+P(x3=2)+P(x4=2)=0.3439

<u>e) Outcome: either the first roll or the last roll is a 2</u>

The probability of getting a 2 in the first roll is equal to having it in a fourth roll, and its the probability of getting a 2 in a roll (multiplied by 2, beacuse there can be either in the first or in the last roll).

P(x1=2)+P(x4=2)=2*P(x=2)=2*0.1=0.2

6 0
3 years ago
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