A scooter travels 12 5 miles in a quarter hour A.18 B.50 C.24 D.12.50

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

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

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago

Find the area of this shape. Correct answer will Brainliest

Iteru [2.4K]

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1 = YZ = $\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3$

base2 = XW = $\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7$

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

6 0

3 years ago

The Perimeter Of A Parallelogram Is 72 Meters. The Width Of The Parallelogram Is 4 Meters Less Than It’s Length. Find The Length

saul85 [17]

The width would be x-4 and

Length would be x

Add all of the sides together

(x-4)+(x-4) + x + x =72,

Which would come out

4x-8=72

Subtract 8 fro, 72 and you get 64

Then divided 64 by 4

So. Width is 16 and length is 20 . given (x-4)

5 0

3 years ago

jessie sorted the coins in her bank. she made 7 stacks of 6 dimes and 8 stacks of 5 nickels. she then found 1 dime and 1 nickel.

laiz [17]

To find out how dimes you multiply 7 and 6 and you get 42 dimes
and it says she finds one nickel so you have 1 nickel

Hope this helps!!!

6 0

3 years ago

What is the ratio 12/21 equivalent to

Amiraneli [1.4K]

4/7, because both the numerator and denominator can be divisible by 3.

7 0

3 years ago

Read 2 more answers

A scooter travels 12 5 miles in a quarter hourA.18B.50C.24D.12.50​

A scooter travels 12 5 miles in a quarter hourA.18B.50C.24D.12.50