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oksian1 [2.3K]
3 years ago
9

What is the length to one side of this triangle

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0
The formula of the altitude of an equilateral triangle with side x:
h=\dfrac{x\sqrt3}{2}
We have:
h=6\sqrt3
Substitute:
\dfrac{x\sqrt3}{2}=6\sqrt3\ \ \ |\cdot2\\\\x\sqrt3=12\sqrt3\ \ \ |:\sqrt3\\\\x=12

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Equation for, One half the sum of 8 and x
Ahat [919]

Answer:

\frac{8 + x}{2}

Step-by-step explanation:

First, we have to write 8 + x, but since it's half of that we write it as a fraction with a 2 on the bottom to halve it.

6 0
3 years ago
Read 2 more answers
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
Kaylis [27]
<span>The length of an arc, L = theta/360 * 2 * pie * r Where theta = 81 and r = 10ft = 3.048m So length = 81/360 * 2 * pie * 3.048 L = * 0.225 * 2 * pie * 3.048 L = 1.37 * pie L = pie. Option A</span>
4 0
3 years ago
What values complete each statement? Enter your answers in the blanks. (Enter your answer) (√5) 2 = _________ in simplest form.
saul85 [17]
Ftyuuiiuhhhhhhhhcccddwwqduuu
6 0
3 years ago
Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes eac
Ivahew [28]

In maths, Distance is described as the quantity of space between two points, and further calculation can be defined as follows:

Given Expression:

5x + 2 = 30\\\\2(x + 5) = 30\\\\5(x + 2) = 30\\\\2x + 5 = 30

To find:

distance=?

Solution:

5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles}    \\  & \text{ if } \text{after school x miles} \end{cases}

\therefore 5(x+2)=30\\\\

\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\

\bold{x=\frac{20}{4} }\\\\\bold{x=4}

Therefore, the final answer is "4 miles".

Learn more:

brainly.com/question/12186030

8 0
3 years ago
Read 2 more answers
Write the first five terms of the sequence.<br><br> a_(n) = -1(1)/(3)^(n-1)
Annette [7]
That's a little messy :)

If that is: -1/[3^(n-1)]

-1, -1/3, -1/9, -1/27, -1/81


4 0
3 years ago
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