Draw a model to subtract 2 2/5 -1 8/10

Find the perimeter of a triangle with vertices A(3, 1), B(2, -1), and C(-3, 2). Leave

natulia [17]

The perimeter of triangle is: 14.15 units

Step-by-step explanation:

First of all we have to find the lengths of sides of triangles

Given

A(3, 1), B(2, -1), and C(-3, 2)

The distance formula will be used to find the lengths of sides

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

So,

$AB = \sqrt{(2-3)^2+(-1-1)^2}\\=\sqrt{(-1)^2+(2)^2}\\=\sqrt{1+4}\\=\sqrt{5}\\=2.24\ unitsBC = \sqrt{(-3-2)^2+(2+1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\= 5.83\ units\\AC = \sqrt{(-3-3)^2+(2-1)^2}\\=\sqrt{(-6)^2+(1)^2}\\=\sqrt{36+1}\\=\sqrt{37}\\=6.08\ units$

The perimeter of triangle will be:

$P = AB+BC+AC\\= 2.24+5.83+6.08\\=14.15\ units$

Hence,

The perimeter of triangle is: 14.15 units

Keywords: Triangle Perimeter

Learn more about perimeter at:

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7 0

3 years ago

Marie plants flowers in a planter that is 1 1/2 feet long and 1 2/3 feet wide. She plans to cover the entire area with fertilize

Arisa [49]

Answer:

2 3/6

Step-by-step explanation:

You must turn 1 2/3 and 1 1/2 into improper fractions. You then multiply them and get an answer of 15/6, but since 6 can go into 15 twice (6x2=12+3=15), you get a whole of 2 and 3/6.

5 0

3 years ago

10) A wheelchair ramp is getting built at the entrance of a building. The ramp will be 25 feet long from front

mezya [45]

Answer:

The angle complies with the state regulations.

Step-by-step explanation:

The angle of elevation is the angle $\theta$ in the figure, and from trigonometry we find that

$sin(\theta) = \dfrac{1.5ft}{25ft}$

taking the inverse sine of both sides we get

$\theta = sin^{-1}(\dfrac{1.5ft}{25ft})$

which gives

$\theta = 3.44^o$

which is less than 5°, and therefore is well within the state regulations.

3 0

3 years ago

Which compound inequality can be represented by the graph below?

Lerok [7]

Answer:

where is the picture of the graph beautiful

8 0

2 years ago

The graph below shows the velocity f(t) of a runner during a certain time interval:

Snezhnost [94]

When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.

3 0

3 years ago

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