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2 years ago

Triangle ABC has the coordinates A(-3, -2), B(2, 4) and C(2,-2). What is the area of triangle ABC?

Mathematics

1 answer:

Snezhnost [94]2 years ago

3 0

Answer: The area is 15 square units

Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.

Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5

Use the differences in y-values of points B & C to get the height:

4-(-2) = 6

Area = bh/2

A = 5×6/2 = 30/2

A = 15 square unts

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Find the surface area of the cube. 5 ft S.A. = [?] ft? 5 ft A Hint: A cube has 6 square faces. Find the area of one face, then m

atroni [7]

First, let's find the area of one face of the cube.

Area = base x height

A = 5 x 5 = 25

There are 6 faces on a cube, so we can multiply the area of one face by 6 to get the total surface area.

SA = 25 x 6 = 150 ft^2

Hope this helps!

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2 years ago

Write a verbal description of the set {a, i, e, o, u}

tamaranim1 [39]

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2 years ago

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Solve the system of equations:

iVinArrow [24]

$(-1,-2) \: \: \: \: \: and \: \: \: \: \: (3,6) \\ Answer: A$

Step-by-step explanation:

$y = 2x \\ y = {x}^{2} - 3 \\ \\ 2x = {x}^{2} - 3 \\ {x}^{2} - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \: \: \: \: \: or \: \: \: \: \: x - 3 = 0 \\ x = - 1 \: \: \: \: \: or \: \: \: \: \: x = 3$

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

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( 3, 6)

5 0

3 years ago

What is 8.525 rounded to the nearest hundredth

ozzi

8.525 is rounded to 8.53 because the 5 rounds up so the 2 turns into a 3

4 0

3 years ago

Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho

nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

Step 2

We use the fundamental principle of counting with $n=4$ for a total of $k=16$ steps. This test can be carried out in $4^{16}=4294967296$ ways. This comes from multiplying 4 by itself 16 times.

3 0

3 years ago