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allsm [11]
3 years ago
8

Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of

the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is inches.
Mathematics
2 answers:
olga2289 [7]3 years ago
7 0
48 + 24 + 12 + 6 = 90 inches or <span>3*(16+8+4+2) = 90 will be the right answer.</span>
Cloud [144]3 years ago
6 0

Answer with explanation:

⇒Perimeter of Any Triangle=Sum of three Sides of triangle

Perimeter of Equilateral Triangle having side 16 inches =16+16+16=48 inches

Now, The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle.

Perimeter of Second Triangle = 8+8+8=24 inches

Perimeter of Third Triangle = 4 +4+4=12 inches

Perimeter of fourth Triangle = 2 +2+2=6 inches

The sum of the perimeters of all four triangles in inches

                                                   =48 +24+12+6

                                                   =90 inches

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aleksandr82 [10.1K]

Given:

The mean age of 5 people in a room is 26 years.

A person enters the room. The mean age is now 33.

To find:

The age of the person who entered the room.

Solution:

Formula for mean:

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

The mean age of 5 people in a room is 26 years.

26=\dfrac{\text{Sum of ages of 5 people}}{5}

26\times 5=\text{Sum of ages of 5 people}

130=\text{Sum of ages of 5 people}

The mean age is now 33. It means, the mean age of 6 people is 33.

33=\dfrac{\text{Sum of ages of 6 people}}{6}

33\times 6=\text{Sum of ages of 6 people}

198=\text{Sum of ages of 6 people}

Now, the age of the person who entered the room is

Required age = Sum of ages of 6 people - Sum of ages of 5 people

                       = 198-130

                       = 68

Therefore, the age of the person who entered the room is 68 years.

6 0
3 years ago
Are the lines x− 2y= 4 and y= 2x − 2 parallel, perpendicular, or neither? Explain your answer.
madam [21]

Answer: For lines to be parallel, the slope has to be the same.

For lines to be perpendicular, the slope has to be the negative reciprocal.  4 x + 2 y = 7

2 y = − 4 x + 7

y = − 2 x + 7 /2

Compared to : y = 2 x − 3

Step-by-step explanation: Just a good guess.

5 0
3 years ago
Which of the following is correct? Multiple Choice When the sample size increases, both α and β may decrease. Type II error can
Alexeev081 [22]

Answer:

(A) When the sample size increases, both α and β may decrease.

Step-by-step explanation:

Which of the following is correct?

(A) This option is right.

When a sample's size increases, the values for alpha and beta may decrease; if and only if sample size is the denominator in the slope equation (in each case) and the numerator stays the same (that is, ceteris paribus; all other things being equal). The larger the denominator, the smaller the slope value for alpha and beta.

(B) This option is wrong

Type 2 error can only occur when you fail to reject a true H0

(C) This option is wrong

Type 1 error can only occur if or when you don't reject a false H0

(D) This option is wrong

The level of significance is the probability of a Type 1 error, not the probability of a Type 2 error.

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3 years ago
Ode to enchanted light Guiding Questions
Aleks04 [339]
You need to add what the lines are if you want them to be analysed for you^^
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2 years ago
What ate the values of the 7s in the number 17,327?
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7,000 and 7 hope this helped

7 0
4 years ago
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