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3 years ago

Please do it step by step!

Mathematics

1 answer:

andrey2020 [161]3 years ago

3 0

9514 1404 393

Answer:

80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

Here, the base is a triangle. The formula for its area is ...

A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

Using the above base area and pyramid height, we find the volume of the pyramid is ...

V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

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Order the numbers from greatest to least. 4. 234,358; 23,208; 23,098

coldgirl [10]

Answer:

23,098; 23,208 ; 234,358

Step-by-step explanation:

Hope this helps

6 0

3 years ago

Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C

natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

$x- y - z = -6 \\ \\ 2y + z = -6 \\ \\ 3x -8 y = - \dfrac{1}{2}$

The inverse of $\left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right] is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]$

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z = - 5

Step-by-step explanation:

Using the correlation of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX) = A⁻¹ B

X = A⁻¹ B

So ;

X = A⁻¹ B

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =$ $\left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =$ $\left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]$