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2 years ago

(05.01) Which statement best describes the area of the triangle shown below?

Mathematics

1 answer:

alukav5142 [94]2 years ago

6 0

Answer:

Step-by-step explanation:

Area of a triangle:

$A=\frac{b*h}{2}$

In our case:

b=4

h=2

Plug in what we know:

$A=\frac{(4)(2)}{2} \\A=4units$

Find the matching solution:

A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units

X B.) it is twice the area of a rectangle of length 4 units and width two units

X C.) it is 1/2 the area of a square of side length 4 units

X D.) it is twice the area of a square of side length 4 units

You might be interested in

How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45,

sattari [20]

Answer: There are 2346953264 ways to do so.

Step-by-step explanation:

Since we have given that

Total number of selected countries = 12

Number of selected countries from a block of 45 = 3

Number of selected countries from a block of 57 = 4

So, remaining number of selected countries from a block of 69.

So, 12-(3+4)=12-7=5

Now, we need to find the number of ways, so we will use "Combination" to select that number of countries.

So, it becomes.

$^{45}C_3\times ^{57}C_4\times ^{57}C_5\\\\=14190\times 395010\times 4187106\\\\=2346953264$

Hence, there are 2346953264 ways to do so.

8 0

3 years ago

What is the best way to find the solutions of the equation 5x^2 - 2x - 6= 0, and why?

lara31 [8.8K]

What are you trying to find? For example the x intercepts? y intercepts? vertex form? etc.

6 0

3 years ago

One side of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4).

harina [27]

Answer:

(1,2) and (5,4)

Step-by-step explanation:

Hello There!

I had made a graph to make it easier to understand.

The points given to us are represented by the green points

The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)

As you can see the points added had created a rectangle with sides that are parallel with the x axis

This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)

8 0

3 years ago

What eigen value for this matix <br> (1 -2)<br> (-2 0)

natali 33 [55]

You find the eigenvalues of a matrix A by following these steps:

Compute the matrix $A' = A-\lambda I$ , where I is the identity matrix (1s on the diagonal, 0s elsewhere)
Compute the determinant of A'
Set the determinant of A' equal to zero and solve for lambda.

So, in this case, we have

$A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]$