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3 years ago

The triangle below is equilateral. Find the length of side x in simplest radical form

Mathematics

1 answer:

Molodets [167]3 years ago

6 0

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

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To find the average of a set of numbers, add up all the items and divide by?

kati45 [8]

Answer:

you add up all of the items and then divide by the total number of items.

Step-by-step explanation:

For example,

Total/Number of Items = Average

Set: 1,6,4,5

(1+6+4+5)/4

16/4 = 4

4 is the average of the items above.

Good luck!!

4 0

3 years ago

Please help !!! I’m stuck

Kruka [31]

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

4 0

3 years ago

You are planning to purchase displays for your store which has 2400 sq ft of selling space. each display has a footprint of 10ft

polet [3.4K]

For this case, the sales space of the displays is given by:
(2400) * (1-0.60) = 960 feet ^ 2
We now look for the area of each display:
(10) * (4) = 40 feet ^ 2
With this information, we can then search the number of displays:
N = (960) / (40)
N = 24 displays
Answer:
you can fit 24 displays.

5 0

3 years ago

Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are alread

galben [10]

A function assigns the values. The maximum amount of students able to receive tickets is 178.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Let the maximum amount of students able to receive tickets be represented by x. Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are already coming. And the auditorium seats a maximum of 1275 people. Therefore, we can write,

1275 = 4x + 560

1275 - 560 = 4x

4x = 715

x = 178.75

Since the number should be a whole number therefore, the maximum amount of students able to receive tickets is 178.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

3 0

2 years ago

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio

Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that $P_{0} = 1.65, P(3) = 1.74$