The perimeter of a triangular garden is 48 feet. The lengths of two sides are 18 feet and 22 feet. How long is the third side?

Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho

deff fn [24]

Answer:

(a) Side lengths

$RS = \sqrt{5}$ $ST = \sqrt{17}$ $RT = \sqrt{18}$

(b) Slope

$RS = \frac{1}{2}$ $RT = 1$ $ST = -4$

(c) Scalene triangle

Step-by-step explanation:

Given

$R = (2,3)$

$S = (4,4)$

$T = (5,0)\\$

Solving (a): Length of each side

This is calculated using distance formula

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

So, we have:

$RS = \sqrt{(4 - 2)^2 + (4 - 3)^2}$

$RS = \sqrt{5}$

$ST = \sqrt{(5 - 4)^2 + (0- 4)^2}$

$ST = \sqrt{17}$

$RT = \sqrt{(5 - 2)^2 + (0 - 3)^2}$

$RT = \sqrt{18}$

Solving (b): The slope of each side

This is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$RS = \frac{4- 3}{4- 2}$

$RS = \frac{1}{2}$

$RT = \frac{0 - 3}{5- 2}$

$RT = \frac{ - 3}{- 3}$

$RT = 1$

$ST = \frac{0 - 4}{5- 4}$

$ST = \frac{- 4}{1}$

$ST = -4$

Solving (c): Classify the triangle

In (a), we have:

$RS = \sqrt{5}$

$ST = \sqrt{17}$

$RT = \sqrt{18}$

None of the sides are equal;

The triangle is scalene

5 0

3 years ago

A coin is loaded so that the probability of getting heads is 3/4. If the coin is flipped twice, what is the probability of getti

baherus [9]

The answer is 0.5625 or 9/16

5 0

3 years ago

NEED ALL 4! With the solution and step by step on what to do !! worth 35 points

creativ13 [48]

Answer:

I got you, give me a few minutes

1st one: 6x+12+6y

2nd one: -12a-20b

4th one: 2x times 18

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Jan's average score after fifteen tests was 82. Her average on the next five tests was 90. What was her average score for all tw

Leokris [45]

Answer:

86

Step-by-step explanation:

82+90=172

172/2 (divided by two because thats how many numbers we added up to get 172)

172/2=86

86 is your answer

4 0

3 years ago

A 90% confidence interval for a proportion is found to be (0.62, 0.68). What is the sample proportion?

Ludmilka [50]

Answer:

B. 0.65

Step-by-step explanation:

Sample proportion is the point estimate of the population proportion which is at the centre of the interval

(0.62+0.68)/2

1.30/2

0.65

3 0

3 years ago

Read 2 more answers