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ra1l [238]
3 years ago
6

Find the value of in the triangle shown below.

Mathematics
2 answers:
andrew11 [14]3 years ago
8 0

Answer:

x=6

Step-by-step explanation:

This is a right triangle, because of the little square in the corner. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where a and b are the legs and c is the hypotenuse.

In this triangle, we know that 2.5 and x are the legs, because they form the right angle. We know that 6.5 is the hypotenuse, because it is opposite the right angle.

Therefore, 2.5 and x are a and b, and 6.5 is c.

2.5^2+x^2=6.5^2

Evaluate the exponents

6.25+x^2=42.25

Since we are trying to find x, we have to get x by itself. First, subtract 6.25 from both sides

6.25-6.25+x^2=42.25-6.25

x^2=36

Next, take the square root of both sides, because x is being squared.

\sqrt{x^2}=\sqrt{36

x=6

LenKa [72]3 years ago
4 0

Answer:

x= 6

Step-by-step explanation:

We can use the Pythagorean theorem to find x

x^2 + 2.5^2 = 6.5 ^2

x^2+ 6.25 =42.25

Subtract 6.25 from each side

x^2+ 6.25-6.25 =42.25-6.25

x^2 =36

Take the square root of each side

x = sqrt(36)

x= 6

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A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.
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Answer:

13.50=1.50+.6x

Step-by-step explanation:

13.50=1.50+ .6x

12=.6x

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3 years ago
Express the system as AX = B; then solve using matrix inverses
Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]

\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B

Adj.A=Transpose of cofactor of Matrix A

Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2

2.

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

   A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]

\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4

7 0
3 years ago
How do you write 2/9 as a decimal
Taya2010 [7]
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I hope this helps :)
6 0
2 years ago
A farmer sells an average of 15 bushels of corn
S_A_V [24]

Answer:

he goes from 15 to 90 ears of corn in 6 days

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
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Paraphin [41]

Answer:

y = 2x-13

Step-by-step explanation:

The equation for a line is

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y = 2x+b

We know a point so we have a y and an x, so we can solve for b

-1 = 2(6) +b

-1 =12+b

Subtract 12 from each side

-1-12 = 12-12+b

-13 =b

Substitute this into y = 2x+b

y = 2x-13

7 0
3 years ago
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