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2 years ago

Find the perimeter of △ABC with vertices A(−5, 3), B(4, −5), and C(−5, −5). Round your answer to the nearest hundredth.

Mathematics

1 answer:

sertanlavr [38]2 years ago

8 0

The perimeter of △ABC with vertices A(−5, 3), B(4, −5), and C(−5, −5) is 29.04 units

<h3>Perimeter of a triangle</h3>

The perimeter of a triangle is the sum of the sides of the triangle.

Given the coordinate points A(−5, 3), B(4, −5), and C(−5, −5)

Determine the distance AB, AC and BC using the distance formula

AB = √(-5-3)²+(4+5)²

AB = √64+81
AB = √145

AB = 12.04 units

AC = √(-5-3)²+(-5+5)²

AC = √64

AC = 8 units

BC = √(-5-4)²+(-5+5)²

BC = √81
BC = 9 units

Take the sum

Perimeter of triangle ABC = 9 + 8 + 12.04

Perimeter of triangle ABC = 29.04 units

Hence the perimeter of △ABC with vertices A(−5, 3), B(4, −5), and C(−5, −5) is 29.04 units

Learn more on perimeter of triangle here: brainly.com/question/24382052

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Ronnie misses the school bus 1 out of every 30 school days. He sets up the proportion 1/30=180/x to predict how many days he wil

bija089 [108]

Answer:

1/30=x/180

Step-by-step explanation:

The way that Ronnie wrote his proportion is wrong since 180/x is saying that he will miss 180 days of school. The fraction 1/30 means that he would miss 1 day out of 30 days, which is correct. But the fraction 180/x would mean that he is missing 180 days of school, which is wrong.

Solving:

1/30=x/180

180/30=6

1 x 6 = 6 days

He will miss 6 days of school in 180 days.

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3 years ago

What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Nesterboy [21]

The formula for a circle is (x - h)^2 + (y - k)^2 = r^2
Where (h, k) is the center and r is the radius.
x^2 + (y - 8)^2 = 25
25 = r^2
So the radius is sqrt 25 or 5.
Radius = 5

6 0

3 years ago

Nadia finds out that her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 a

Dahasolnce [82]

$\begin{gathered} y-24=\frac{8}{3}(x-2011) \\ \text{There will be 48 horses in 2020 (option A)} \end{gathered}$ Explanation:

The initial number of horses = 24

year = 2011

Coordinates (2011, 24)

when the number of horses became 32, year was 2014

Coordinates (2014, 32)

We find the slope = rate of change

slope = change in number of horses/change in number of years

slope = (32-24)/(2014-2011)

slope = 8/3

The point slope formula:

$\begin{gathered} y-y_1=m(x-x_1) \\ U\sin gpoint\colon x_1=2011,y_1=24 \end{gathered}$ $y-24=\frac{8}{3}(x-2011)$

The number of horses in year 2020

using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.

8/3 = (y - 24)/(2020 - 2011)

8/3 = (y - 24)/9

cross multiply:

8(9) = 3(y - 24)

72 = 3y - 72

72 + 72 = 3y

144 = 3y

144/3 = 3y/3

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Hence, there will be 48horses in 2020 (option A)

4 0

1 year ago

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HACTEHA [7]

<u>Answer:</u>

Yes

<u>Step-by-step explanation:</u>

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3 years ago

Read 2 more answers

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have

VashaNatasha [74]

Answer:

ONE: x = 10

Step-by-step explanation:

3x + 6 = -1 - 3 + 4x

3x + 6 = -4 + 4x |subtract 6 from both sides

3x = -10 + 4x |subtract 4x from both sides

-x = -10 |change the signs

x = 10

6 0

3 years ago