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Goryan [66]
3 years ago
6

Leah is building a slide for her kids. if the latter is 7 feet tall and she wants the bottom of the slide to be 4 feet from the

ladder, how long does this line need to be?
Mathematics
1 answer:
nadezda [96]3 years ago
4 0

The line needs to be 8.06 m long

Explanation

Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.

The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.

base=4m

height=7m

hypotenuse can be determined using pythagoras law

b^{2} +h^{2} =H^{2} \\x^{2} 4^{2}+ 7^{2}= H^{2} \\16+49=H^{2} \\H=\sqrt{65} \\=8.06 m

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The inverse of matrix is (43, -11, 2).

<h3>What is inverse of matrix?</h3>

A matrix is a multidimensional generalization of the concept of reciprocal of a number: the product between a number and its reciprocal is equal to 1; the product between a square matrix and its inverse is equal to the identity matrix.

given equation:

x + 5y + 10z = 8

y + 4z = -3

x+6y + 15z = 7

The cofactors of the matrix is

C_11 = -9

C_12= 4

C_13=-1

C_21 = -15

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​

The cofactor matrix is,

\left[\begin{array}{ccc}-9 & 4 & -1\\-15 & 5 & -1\\10 & -4 & 1\end{array}\right]

The transpose of matrix,

\left[\begin{array}{ccc}-9 & -15 & 10\\4 & 5 & -4\\1 & -1 & 1\end{array}\right]

The determinant of matrix is = 21.

The augmented matrix is attached below

Hence, the inverse of matrix is (43, -11, 2).

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brainly.com/question/13253064

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