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Marizza181 [45]
3 years ago
8

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

3-inch radius

A = sq. in.

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer: A =  (27/4)√3 in²


Explanation:


You are required to calculate the area, A, of an equilateral triangle, when you know its radius is 3 inches.


The radius of an equilateral triangle is the radius of the cirscumscribed circle.


The equilateral triangle has several characteristics which can be geometrically deduced:


  • Three congruent sides (by definition)
  • Three 60° internal angles
  • If you call the length of the sides x, and the radius of the circumscribed circle r, then:

       r = x √3 / 3 ⇒ x = r√3

       Area = [√3 / 4] x²

  • Combining the two previous relations, you deduce:

        Area = [3 √3 / 4] r²

By substituting the given radius, you find the area of the equilateral triangle:

            Area = [3 √3 / 4] x² = [3 √3 / 4] (3 in)² = 27√3 / 4 in²

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A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?
vekshin1

Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

5 0
3 years ago
A campground consists of 5 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the wa
Anestetic [448]
To answer this question with the choices given, you would substitute the possible answers into your work for the base and the height of each dimension on the entire campground.

To find the length of the campground, you multiply each choice by 5 because there are 5 campsites.

For the width, you add each choice to 4.

Then you multiply the total length by the total width to see if your answer is 950 square yards.

See the attached picture for all the work.

7 0
3 years ago
Neelam's daily income is ₹ 800. Her daily savings amount is ₹100. What is the ratio of her SAVINGS to her EXPENDITURE?
sveta [45]

Answer: ratio of her SAVINGS to her EXPENDITURE=1:7

Step-by-step explanation:

Neelam's daily income = ₹ 800

Neelam's daily savings amount = ₹100

Therefore  her expenditure will be Daily income - Daily savings

= ₹ 800- ₹ 100= ₹ 700

 ratio of her SAVINGS to her EXPENDITURE

= 100: 700

=1:7

3 0
3 years ago
Please help
lubasha [3.4K]

Let us check series : -10 /-2 = 5 -50/-10 = 5

so it is a geometric series with a= -2 and r= 5

sum formula for n terms of geometric series = a ( r^n -1 ) /( r-1)

here we find S5 that is n= 5 = -2 ( 5^ 5 - 1) /( 5-1)

= -2 ( 3125 -1) / 4 = -1562

second series is : 1.5/1 = 1.5 2.25/1.5 = 1.5

this is also geometric series but n = 12 a= 1 and r= 1.5

we use same formula

S12 = 1 ( (1.5) ^12 -1) /( 1.5-1) =

128.74 / 0.5 = 257.49

Last is 2/1= 2 4/2 = 2 8/4 = 2 so r = 2 a = 1 and n = 12

we use same formula 1 ( 2^12 - 1) / (2-1)

= 4095

Answers : -1562 , 257.49 , 4095

8 0
3 years ago
Read 2 more answers
What is the approximate volume of the cone? Use 22/7 for π. Enter your answer in the box.​
aliina [53]

Answer:

it would be 17

Step-by-step explanation:

3 0
3 years ago
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