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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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What is the perimeter of RSTUV?
MrMuchimi

Answer:

this should be 132 units   i hope this helps!   :)

Step-by-step explanation:

so these figures are similar

we are given 3 side measurements on one, and 3 on the other

we know that side BA is 10 units, and that SR which is the same side, is 14 units

we can conclude that they added 4 units to this side

so with the other side lengths that we are given we can figure out what the length of the perimeter of RSTUV is

10 + 4 = 14

15 + 4 = 19

28 - 4 = 24  

42 - 4 = 38

25 + 4 = 29

42 TU

28 UV

19 VR

14 SR

29 ST

add all the side together to get 132 units

3 0
3 years ago
Luna simplifies the expression (2x-4)-(3x+2) correctly. which expression represents luna's result
pickupchik [31]
Okay, so first you have to factor out that negative throughout the parenthesis.
(2x-4)-3x-2
Then, put like terms together so you can organize your problem.
2x-3x-4-2
Now all you have to do is combine the like terms!
-x-6
Oh look, that's a. A is the answer.
5 0
3 years ago
THOROUGHLY EXPLAIN how this is done plz
prisoha [69]
First and last terms of the given equation are perfect squares. They can be written as

(4p^2)^2+ 2.(4p^2).5+(5)^2
It's like identity 1: (a+b)^2=a^2+2ab+b^2
So a=4p^2 and b=5
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8 0
4 years ago
Find the area of the given figure and please put all the steps you made as well
mylen [45]

Answer:

B. 196.5

Step-by-step explanation:

First lets fine the semi circle's area.

The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.

The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14

(3.14)(8)²=200.96 and half of that is 100.48

The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.

The formula for area of an triangle is A=1/2bh

We can see that the base is 16 and height is 12, and now plug it in.

A=1/2(16)(12)= 96.

The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.

3 0
3 years ago
What is 0.063 in scientific notation?
Pavel [41]
Remember that you must change this number so that it is between 1 and 10, and then multiply it by a power of 10.

So first, you have to move the decimal point over 2 places to the right.

Since you are moving to the right, the exponent on ten will be negative; since you moved 2 decimal places, you know the exponent will be -2.

The answer is 6.3 x 10^-2.

Hope this helps!
7 0
3 years ago
Read 2 more answers
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