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lapo4ka [179]
3 years ago
15

Kelvin finds a tile shaped like a triangle. He measures its angles to discover that it has two acute angles and one right angle.

What type of triangle did Kelvin find obtuse triangle, acute triangle or right triangle?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

right triangle

Step-by-step explanation:

A Right triangle is a triangle that has one of its angle as 90°.

Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.

A right triangle has two acute angles (angles less than 90°) and a right angle

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An electronics company produces​ transistors, resistors, and computer chips. Each transistor requires 3 units of​ copper, 2 unit
Gala2k [10]

Answer:

475 transistors, 25 resistors and 50 computer chips can be produced.

Step-by-step explanation:

Let us consider, p = Number of transistors.

                           q = Number of resistors.

                            r = Number of computer chips.

The following three linear equations according to question,

3\times p + 3\times q + 2\times r = 1600\\2\times p + 1\times q + 1\times r = 1025\\1\times p + 2\times q + 2\times r = 625

The matrix form of any system, Ax = B

Where, A = Coefficient matrix

            B = Constant vector

            x = Variable vector

A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right], x = \left[\begin{array}{ccc}p\\q\\r\end{array}\right], B = \left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]

The inverse matrix, A^{-1} can be found by using the following formula,

           A^{-1} = \frac{1}{det A}\times (C_{A}) ^{T}

Where, det A = Determinant of matrix A.

                 C_{A} = Matrix of cofactors of A

Now, applying this formula to find A^{-1};

det A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right] = 3\times(2-2)-3\times(4-1)+2\times(4-1) = -3

Here, det A\neq 0, thus the matrix is invertible.

C_{A} = \left[\begin{array}{ccc}(2-2)&-(4-1)&(4-1)\\-(6-4)&(6-2)&-(6-3)\\(3-2)&-(3-4)&(3-6)\end{array}\right] = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] \\(C_{A}) ^{T} = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] ^{T} = \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]

A^{-1} = \frac{1}{-3}\times\left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]  \\ So, x= \frac{1}{-3} \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]\times\left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]= \frac{1}{-3} \left[\begin{array}{ccc}-1425\\-75\\-150\end{array}\right] = \left[\begin{array}{ccc}475\\25\\50\end{array}\right]

So, p = 475, q = 25, r = 50.      

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Step-by-step explanation:

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tekilochka [14]

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3h²

Step-by-step explanation:

factor or breakdown 3h² : 3 * h * h

factor or breakdown 3h³ : 3 * h * h * h

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Answer:

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Step-by-step explanation:

3a) y = -0.1x +26000

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