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Leviafan [203]
3 years ago
5

2) If the sales tax rate is 6.25% in Rio Rancho, how much would the sales tax be for a pair of shoes that cost

Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
natita [175]

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

<em>Additional comment</em>

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

6 0
2 years ago
Is the square root of 5 times the square root of 5 rational?
jeka57 [31]
 No 20.0000004 cannot be rational.
5 0
3 years ago
Find two unit vectos that are orthogonal to both [0,1,2] and [1,-2,3]
alekssr [168]

Answer:

Let the vectors be

a = [0, 1, 2] and

b = [1, -2, 3]

( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.

Let the cross product be another vector c.

To find the cross product (c) of a and b, we have

\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]

c = i(3 + 4) - j(0 - 2) + k(0 - 1)

c = 7i + 2j - k

c = [7, 2, -1]

( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:

c / | c |

Where | c | = √ (7)² + (2)² + (-1)²  = 3√6

Therefore, the unit vector is

\frac{[7,2,-1]}{3\sqrt{6} }

or

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

In conclusion, the two unit vectors are;

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

and

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

<em>Hope this helps!</em>

7 0
3 years ago
For thousand 400 is 10 times as much as 440
ss7ja [257]
440 x 10 = 4,400.  Yes 4,400 is 10 times as much as 440
3 0
3 years ago
Read 2 more answers
the perimeter of a triangle is 49cm.One side is 7cm longer than another side and 5cm shorter than the third side find sides
pogonyaev

<em>P = a + b + c = 49 cm</em>

<em>a = b + 7 => b = a - 7</em>

<em>a = c - 5 => c = a + 5</em>

<em>_____________________</em>

<em>a + (a - 7) + (a + 5) = 49</em>

<em>3a = 49 + 7 - 5</em>

<em>3a = 51 </em>

<em>a = 17 cm</em>

<em>b = 17 - 7 = 10 cm</em>

<em>c = 17 + 5 = 22 cm</em>

8 0
3 years ago
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