We know that
the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.

[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in

the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in

the answer is
the radius is 3.5 in

8 0

3 years ago

Read 2 more answers

Pweeb help for brainliest

stellarik [79]

Answer:

The correct answer is B

Step-by-step explanation:

2(x-1) + 5x = x-8

Firstly, break all the brackets and you would got:

2x - 2 + 5x = x - 8

Put x into 1 side,

2x + 5x - x = -8 + 2

6x = -6

Divide both side by 6,

6x / 6 = -6/6

x = -1

The correct answer is B

Hope this help you :3

5 0

3 years ago

Read 2 more answers

Rudy, Maria, and Tito have a total of x textbooks Rudy has 6 textbooks andTito and Maria each have y textbooks. How many textboo

shtirl [24]

Answer:

Tito have $\frac{x-6}{2}$ textbooks in terms of x

Step-by-step explanation:

Rudy has 6 textbooks

We are given that Tito and Maria each have y textbooks

So, Tito has no. of books = y

Maria has no. of books = y

So, total number of textbooks = 6+y+y=6+2y

We are given that Rudy, Maria, and Tito have a total of x textbooks

So,6+2y=x

So, 2y=x-6

$y=\frac{x-6}{2}$

Hence Tito have $\frac{x-6}{2}$ textbooks in terms of x

6 0

3 years ago

Jones has a 100-acre farm. he sells it to a developer who is going to build houses. the developer will use 10% of the land for s

Sholpan [36]

The first thing we must do is find the amount of land that will be used for the 120 lots.
We must remember that 10% of the land will not be used for the lots.
We have then:
$100 - (0.10) * (100) = 100 - 10 = 90 acres.
$
Then, we must consider the following conversion of units:
$1 acre = 43560 ft ^ 2
$
Applying the conversion we have:
$(90) * (43560) = 3920400 ft ^ 2
$
Then, the amount of square feet for each lot is given by:
$3920400/120 = 32670 ft ^ 2
$
Answer:
There will be 32670 square feet in each lot.

6 0

4 years ago