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2 years ago

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Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular

9-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a regular 5-gon, one at each vertex.

1 answer:

Sladkaya [172]2 years ago

6 0

Answer:

Greater than.

Step-by-step explanation:

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The Venn diagram shows the results of two events resulting from rolling a number cube.

gulaghasi [49]

Answer: $P(A\cap B)=\frac{1}{3}$

$P(A)=\frac{1}{3}$

$P(B)=1$

$P(A|B)=\frac{1}{3}$

Step-by-step explanation:

From the given figure it can be seen that

Total number on cube= n(S)=6

Intersection of A and B = n(A ∩ B)= 2

Therefore,

$P(A\cap B)=\frac{n(A\cap B)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Also, The number of elements in A = 2

Therefore,

$P(A)=\frac{n(A)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Similarly, The number of elements in B= 6

Therefore,

$P(B)=\frac{n(B)}{n(s)}=\frac{6}{6}=1$

The formula to find the conditional probability is given by :-

$P(A|B)=\frac{P(A\cap B)}{P(B)}\\\\\Rightarrow P(A|B)=\frac{\frac{1}{3}}{1}=\frac{1}{3}$

4 0

3 years ago

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Roger the park ranger was standing in a look out tower that was 200 ft tall. Looks down, sees a fire. Angle of depression is 7 d

Ainat [17]

Answer:

approx. 24.6 ft

Step-by-step explanation:

x=the distance of the fire from the base of the tower

200ft=the height of the tower

7 degrees=the angle of depression

Using these values you can draw a diagram that highlights that you need to use trig. to work out the answer.

Using Tan:

Tan 7=x/200 ft

multiply both sides by 200 ft

200*tan 7=24.55691218

approx. 24.6 ft

8 0

3 years ago

Evaluate help please!

UNO [17]

<h2><u>ABSOLUTE VALUE</u></h2>

The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.

<h3>Exercise</h3>

Replace the value of x:

$| x - 8 |$

$| -4 - 8 |$

$| -12 | = \large{\boxed{12}}$

The absolute value of a number is the numerical value of the number, without regard to its sign.

<h3><u>Answer.</u> 12</h3>

3 0

2 years ago

working together, melissa and jing can mow a lawn in 5 hours. It would take melissa 8 hours to do the job alone. What is the val

lubasha [3.4K]

Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours

King could mow (1 / 13.33) of the lawn in one hour.

8 0

3 years ago

How do you write 4 hundredths,3 tenths, and 6 ones as a decimal?

Vsevolod [243]

The answer should be 6.34. This is because since the 6 is in the ones place, it should be the whole number. The 3 is a tenths so it should be the first number after the decimal. Finally, since 4 is in the hundredths place, it should be two places from the whole number.

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3 years ago

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