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Sindrei [870]
3 years ago
15

A circle has a radius of 6 in. The circumscribed equilateral triangle will have an area of:

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0
The length of the side of an equilateral triangle that is circumscribed by a circle with radius r is s = r sqrt(3)so s = (6) sqrt(3)then the formula for the area of an equilateral triangle isA = sqrt(3) (s^2) / 4
substitute the value of s in the equationA = sqrt(3) ( (6) sqrt(3))^2  /4A = 46.77 sq in 
Margaret [11]3 years ago
8 0

The answer is 108\sqrt{3}

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A particular chemistry book costs $6 less than a particular physics book, while two such chemistry books and three such physics
sladkih [1.3K]

Answer:

Step-by-step explanation:

Let's say the Physics book costs $x

The Chemistry book will cost $x - $6

Two such Chemistry books will cost;

2($x - $6) = $(2x - 12)

Three such Physics books cost $3x

$(2x - 12) + $3x = $123

$5x - $12 = $123

$5x = $111

x = $22\frac{1}{5}

So the Physics book costs;  $22\frac{1}{5}

and the Chemistry book costs  $22\frac{1}{5} - 6 =  $16\frac{1}{5}

3 0
3 years ago
Find the area of the shaded region in square units. Show your reasoning.
motikmotik

Answer:

40 square units

Step-by-step explanation:

First of all, lets say that square has side l, so, the area unit is l^2

the diagonal's square is l\sqrt{2}

CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)

A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2

CALCULATION OF MAIN SQUARE AREA

A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2

TOTAL AREA

A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2

3 0
3 years ago
In this lesson, you learned new formulas to find the area of a triangle. How are these formulas different from the commonly know
Yuki888 [10]
Aside from the conventional formula for triangle, A=<span>½bh which is only applicable to problems where the base and height are already given and the triangle is a right triangle having a degree of 90. There are some formulas in getting the area of a triangle:

>Given three sides of the triangle, use Heron's Formula
A= sqrt(s(s-a)(s-b)(s-c))
s= (a+b+c)/2
>Given two sides with an included angle
</span>Area = <span>1/2 </span><span>ab sin (tetha)
</span><span>tethat should be in degrees



</span>
3 0
3 years ago
Convert the following equation to slope-intercept form y+5=1/2(x-8)
alexandr402 [8]

Answer: y = 1/2x - 9

Step-by-step explanation:

  • y + 5 = 1/2(x - 8)
  • y + 5 = 1/2x - 4 (distribute)
  • y = 1/2x - 9 (subtract 5 from both sides)

4 0
2 years ago
What is the difference between a centroid, orthocenter, and a circumcenter?
Lisa [10]

Answer:

Take an example in a triangle:

The orthocenter is the intersection point of 3 altitudes.

The centroid is the intersection point of 3 medians.

The circumcenter is the intersection point of 3 bisectors.

Centroid, orthocenter, and circumcenter are collinear.

Hope this helps!

:)

4 0
3 years ago
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