All categories

3 years ago

Given an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?

1 answer:

7 0

An equilateral triangle has 3 sides of equal length
find the length of 1 side and that is the length of te other 2 sides
so find the length and times 3

we need to find the distance betwen the points (-8,-5) and (3,7)

distance between the points (x1,y1) and (x2,y2) is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
so
distance between (-8,-5) and (3,7) is
$D=\sqrt{(-8-3)^2+(-5-7)^2}$
$D=\sqrt{(-11)^2+(-12)^2}$
$D=\sqrt{121+144}$
$D=\sqrt{265}$

the distance is √265
the perimiter is 3√265 units

You might be interested in

C=p(1+r) what is the final Cost of a $40 item after an 8% tax is applied

makvit [3.9K]

Hello there! The cost of the item is $40, which makes up 100% of the price. There is 8% tax applied on the item. Let's add both percentages. 100 + 8 is 108. That's 108%. Let's multiply that by 40 to get the total price. 40 * 108% (1.08) is 43.2. There. The final cost of an item is $43.20.

8 0

3 years ago

Suppose a normal distribution has a mean of 62 and a standard deviation of

Alekssandra [29.7K]

The probability that a data value is between 54 and 66 is 81.9%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

$z = \frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation$

Given that μ = 62, σ = 4

For x = 54:

$z=\frac{54-62}{4}=-2$

For x = 66:

$z=\frac{66-62}{4}=1$

P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%

The probability that a data value is between 54 and 66 is 81.9%

Find out more on z score at: brainly.com/question/25638875

3 0

2 years ago

Max car holds 18 gallons of gasoline driving on the highway the car uses approximately 2 gallons per hour. let H represent the n

RSB [31]

Y= 18 gallons-2(h)
y is what you're trying to find out and since there are 18 gallons in the tank after every hour you would have 2 less gallons. So, you can multiply how many hours he's been driving by the 2 gallons and subtract it from 18

3 0

2 years ago

A local farm has raised $3,300 from their annual maple syrup festival. The owner of the farm decided to invest this money into a

myrzilka [38]

Total = Principal * (1 + rate)^years
Total = 3,300 * (1.018)^5
Total = 3,300 * 1.0932988468 
Total = 3,607.89

7 0

3 years ago

The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how

NikAS [45]

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

3 0

2 years ago