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m_a_m_a [10]
3 years ago
15

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

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

\boxed{108\sqrt{3}\text{ in}^{2}}

Step-by-step explanation:

An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.

The three apothems OD, OE, and OF divide  ∆ABC into six smaller congruent triangles.

1. Area of ∆OCD

CotOCD = OD/OC

cot30 = CD/6

√3 = CD/6

CD = 6√3

A= ½bh

A = ½ × 6√3 × 6 = 18√3  in²

2. Area of ∆ABC

A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

\text{The area of the triangle is }\boxed{108 \sqrt{3} \text{ in}^{2}}

Doss [256]3 years ago
7 0

Answer:

just had this question :/ 108√3

Step-by-step explanation:

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fredd [130]

\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33


so we have a 33, namely two real solutions for that quadratic.


usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.


so 33 can only afford us two real irrational roots.

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3 years ago
Write the inequality that represents the graph
Vitek1552 [10]
There’s no graph present in this question
7 0
3 years ago
6Of
marysya [2.9K]

Answer:

I believe the answer is the system has one solution. Both lines have the same y-intercept. And the solution is the intersection of the 2 lines.

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Step-by-step explanation:

8 0
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An adventure park charges $16 per adult and $10 per child (6 - 16 years) to enter the park. Melissa, who is 9, and her five fami
Crazy boy [7]

Total charge at park, T = 2×charge on adults + 4×charge on children .

T =$(2×16 + 4×10)

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