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ziro4ka [17]
1 year ago
11

The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side leng

th to the nearest tenth before adding.
Mathematics
1 answer:
Minchanka [31]1 year ago
7 0

The perimeter of the triangle is 21.4 units

<h3>How to determine the perimeter?</h3>

The points are given as:

A(−2,2), B(5,−3), and C(−4,−1)

Calculate the side lengths using:

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

So, we have:

AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6

AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6

BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2

The perimeter is then calculated as:

P = AB + AC + BC

This gives

P = 8.6 + 3.6 + 9.2

Evaluate

P = 21.4

Hence, the perimeter of the triangle is 21.4 units

Read more about perimeter at:

brainly.com/question/24571594

#SPJ1

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I need an answer ASAP!!! Tyyyy
patriot [66]

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

-----------------------

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

-----------------------

<h3>Answer:  5/12</h3>

=======================================================

Part B

From the first section in part A, we found that:

  • (4/9)x = amount of money spent on the dress
  • (5/12)x = amount of money spent on shoes

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

--------------------

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

--------------------

<h3>Answer:  $388.80</h3>
8 0
2 years ago
What are the solutions to the equation x² = 169?
Marizza181 [45]

Answer:

the solutions are 13 and -13

Step-by-step explanation:

13 x 13= 169

-13 x -13=169

a negative times a negative equals a positive

5 0
3 years ago
Read 2 more answers
Study quadrilateral ABCD. Which graph of ABCD shows the reflection of quadrilateral ABCD across the line y=x
algol13

Answer:

graph C

Step-by-step explanation:

3 0
3 years ago
Jay wants to buy 4 shirts which were originally priced at $15.95 each. He purchased the 4 shirts at a 20% off sale and pays a 6.
Murrr4er [49]

Answer:

I think its $32.50

Step-by-step explanation:

15.95 * 4 = 63.8

63.8 / 1/5 = 12.76

20% = 1/5

319 + 6 1/2 = 32.50

6 0
3 years ago
Asdfghjkllkjhgfdsaas
natali 33 [55]

Answer:

13

Step-by-step explanation:

(x + 3)^3/2 = 64

√(x + 3)^3 = 64

(x + 3)^3 = 64^2

(x + 3)^3 = (4^3)^2

(x + 3)^3 = (4^2)^3

Same exponent

So

x + 3 = 4^2

x + 3 = 16

x = 13

6 0
3 years ago
Read 2 more answers
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