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3 years ago

What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm?

2 answers:

7 0

1.
All three angles are equal and their sum is 180. 
3 (3x-12) = 180 
9x -36 = 180 
9x = 180+36 
9x = 216 
x = 216/ 9 = 24 

2. 
Area of an equilateral triangle = (sqrt(3)/4 ) s^2 = 270.633 
s^2 = 270.633 / [ sqrt(3) /4] 
s^2 = (4)(270.633) / sqrt(3) 
s^2 = 625 
s = 25 (side) 

Follow the procedure in the link: we don't need the altitude. 
r = 25/sqrt(3) =14.43

solmaris [256]3 years ago

6 0

Answer:

r = 14.4

Step-by-step explanation:

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Use the quadratic formula to find the solutions to the equation x^2-3x+1=0

Gnom [1K]

Answer:

$x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}$

Step-by-step explanation:

Using:

$x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}$

we will have two solutions.

x^2-3x+1=0

So, a=1 b=-3 c=1

$x_{1}=\frac{+3+\sqrt{-3^{2}-4*1*1} }{2*1}\\\\x_{2}=\frac{+3-\sqrt{-3^{2}-4*1*1} }{2*1}$

We have two solutions:

$x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}$

4 0

3 years ago

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!

nexus9112 [7]

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16 = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x 2-4 =x

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since time cannot be negative

x=6

4 0

3 years ago

A machine can scan 12 pages in 3/5 minutes how many pages in 1 minutes

natali 33 [55]

2.2to 4 pages in a minute because 12 divided by 3 is 4 and 12 divided by 5 is 2.2

6 0

3 years ago

A football team has a squad of 24 players,

lora16 [44]

Answer: 1/3

Explanation:

1/12 of the squad are suspended:

1/12 x 24 = 24/12 = 2

So 2 player are suspended

24 - 2 = 22 player

And some are injured leaving 14 left to play:

22 - 14 = 8 players injured

So 8/24 is the fraction of injured player.

But 8/24 = 1/3 so we can say 1/3 of the whole squad are injured.

4 0

3 years ago

Read 2 more answers

[x÷(y–1)](−4)–[xy+(−3)]÷(−1) if x=−5, y=−2

IrinaK [193]

The result is 1/3.

_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3

5 0

3 years ago