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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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PLZ HELP ME!! THE PICTURE IS BELOW!! NO LINKS!!!
sineoko [7]
<h3>Answer:  A) 6.4</h3>

==========================================================

Explanation:

Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.

Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.

Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.

Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.

Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:

2x = 9*sqrt(2)

x = (9*sqrt(2))/2

x = (9/2)*sqrt(2)

x = 4.5*sqrt(2)

x = 6.36396103067892

That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.

8 0
3 years ago
Use order of operations to solve: 4(12*6-4^2)+9
Dominik [7]

Answer: =233

Step-by-step explanation: 4((12)(6)−4^2)+9

Hope this help

8 0
3 years ago
In a laboratory experiment, the population of bacteria in a petri dish started off at 160 and is growing exponentially at 6% per
alexira [117]

The exponential function is given by y = 160(1.06)ˣ

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where a is the initial value of y, b is the multiplier, y, x are variables.

Let y represent the amount of bacteria after x hours.

Given an initial 160 bacteria, hence a = 160.

Also b = 100% + 6% = 106% = 1.06

The exponential function is given by y = 160(1.06)ˣ

Find out more on Exponential function at: brainly.com/question/12940982

3 0
2 years ago
Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph
12345 [234]

Answer:

B) y=12x

Step-by-step explanation:

We are given with the coordinates (0,0) , (1,12) \ and \ (2,24)

Where x represents the number of days.

y represents the number of likes she got.

To model the equation using Kyle's data we find the slope using the given coordinate.

Let us say (0,0) \ as \ (x1 , y1) and (1,12) \ as \ (x2,y2)

Slope (m) formula ,  m=\frac{(y2-y1)}{(x2-x1)}

Plug in the above points now, we get

m=\frac{(12-0)}{(1-0)} =\frac{12}{1} =12

Now we use the point-slope formula, (y-1)= m(x-x1)

Plugging the corresponding values.

     (y-0)= 12(x-0)\\y=12x

Thus option is B is the correct answer.

5 0
3 years ago
The low temperatures for a week in Edmonton, Alberta are -15 C, -12 C, -10 C, -12 C, -18 C, -20 C, and -25 C. What is the mean l
MakcuM [25]

-15.7

Step-by-step explanation:

2

-15

-12

-10

-12

-18

-20

-25

-------

-110

7 divide by -110=-15.7

7 0
3 years ago
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