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bazaltina [42]
3 years ago
15

True False Problem Enter T or F depending on whether the statement is true or false. (You must enter T or FTrue and False will n

ot work.)
1. If the solution to a system of linear equations is given by (4 - 2z, -3 +z, z), then (4, -3, 0) is a solution to the system
2. If the number of rows of an augmented matrix in reduced row-echelon form is greater than the number of columns (to the left of the vertical bar), then the system has infinitely many solutions
3. If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has O's below it.
Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

Answer:

t

Step-by-step explanation:

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.
dmitriy555 [2]

see the attached figure to better understand the problem

we have that

cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

cos (A)=(AC/AB)\\AC=AB*cos(A)

substitute the values in the formula

AC=12*(1/5)\\ AC=2.4\ units

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}

substitute the values

BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units

Step 3  

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

BD^{2} =DC^{2}+BC^{2}

substitute the values  

BD^{2} =2^{2}+11.76^{2}

BD=11.93\ units

therefore

<u>the answer is</u>

the length of BD is 11.93 units

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GREYUIT [131]

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Step-by-step explanation:

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Steps:

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4 0
3 years ago
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