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Artemon [7]
2 years ago
12

A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?​

Mathematics
1 answer:
Usimov [2.4K]2 years ago
7 0

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

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Emma says the GCF of 16 and 12 is 48. Her friend grace says the answer is right. Who is right? Explain help me plz
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The GCF is only 12 because 16 can't multiply a number that gives you 48 only 12.
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3 years ago
Convert the angle 61 38’ 45” to decimal degrees, and round to the nearest hundredth of a degree
slega [8]
A suitable calculator* can do this easily.

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I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.
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2 years ago
Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr
Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

8 0
3 years ago
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