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alexandr1967 [171]
3 years ago
5

PLEASE HELP!

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

Answer:

36\sqrt{3}

Step-by-step explanation:

Hi!

Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.

To find the height of an equilateral triangle we use \frac{a\sqrt{3}}{2}.

\frac{12\sqrt{3} }{2} = 6\sqrt{3}.

So the height is 6\sqrt{3}.

Now we have to solve 12 * 6\sqrt{3} ÷ 2.

12 \cdot 6\sqrt{3} = 72\sqrt{3}

72\sqrt{3}\: \div\: 2 = 36\sqrt{3}.

Thus, the area of the triangle is \boxed{36\sqrt{3}}.

Hope this helps!

You might be interested in
Need help with 4-10 pleaseeee
emmainna [20.7K]

Answer:

-6

Step-by-step explanation:

10 - 4 = 6

Turn it to negative.

-6

5 0
3 years ago
2) The number of streetlights in a town is growing linearly. Four months ago (n = 0) there were 130 lights. Now (n = 4) there ar
IRINA_888 [86]

Answer:

Step-by-step explanation:

Since the number of streetlights in a town is growing linearly, the street lights are increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

For n = 0, T0 = 130, therefore,

130 = a + (0 - 1)d

130 = a - d - - - - - - - - - -1

For n = 4, T4 = 154, therefore,

154 = a + (4 - 1)

154 = a + 3d - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 24 = - 4d

d = - 24/- 4 = 6

Substituting d = 6 into equation 1, it becomes

130 = a - 6

a = 130 + 6 = 136

a) The explicit formula for the number of lights in n months is

Tn = 136 + 6(n - 1)

b) The number of months that it will take to reach 200 lights is

200 = 136 + 6(n - 1)

200 - 136 = 6(n - 1)

64 = 6(n - 1)

6n - 6 = 64

6n = 64 + 6 = 70

n = 70/6 = 11.66

Approximately 12 months

3 0
3 years ago
The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, da
IgorC [24]

Answer:

2.Race or Ethnicity

3.Disabilities or Special Needs

7.Current Grade Level

Step-by-step explanation:

A Categorical variable is a non numerical variable, and usually is defined as "a variable that allows to assign categories but we cannot clearly order the variables".

If a variable is not Categorical can be ordinal or or numerical.

Ordinal when we can create a order from the data. And numerical when is not categorical or ordinal.

1.Reading Test Score

False, usually the scores are quantitative or numerical variable since are measured on units..

2.Race or Ethnicity

True, is categorical variable since we don't have an order for this.

3.Disabilities or Special Needs

True, we can consider this variable as categorical since we don't have an order and can't be expressed in numerical terms.

4.Age

False, is a quantitative variable or numerical

5.Mathematics Test Score

False the scores represnt a numerical variable.

6. Days Absent

False, that can be considered as quantitative if we count the days absent

7.Current Grade Level

True. That can be considered a categorical variable since we can't express this variable with numbers.

So then the correct choices are:

2.Race or Ethnicity

3.Disabilities or Special Needs

7.Current Grade Level

8 0
3 years ago
Find X: <br> J:58<br> K:70<br> L:111<br> M:121
Mars2501 [29]

Answer:

L

Step-by-step explanation:

interior angle formula so

(number of sides - 2)*180

2*180 = 360

you can also just take an example from a square 4*90 = 360

360-121-58-70 = 111

8 0
2 years ago
This dot plot is symmetric, and the data set has no extreme values
Lapatulllka [165]

Answer:

Where is the plot?

Step-by-step explanation:

4 0
3 years ago
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