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Brut [27]
3 years ago
12

What is the equation for the line of reflection?

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

i believe it is y=x

Step-by-step explanation:

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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using
lara31 [8.8K]

Answer:

D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

The missing tables are:

First table  

x:    0  1    2

f(x): 1   10  100

Second table

x:         1000   100   10

f^-1(x):  3          2       1  

Option A is not correct because f(x) has a y-intercept at (0, 1)

If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct

Option C is not correct because the domain of f^-1(x) is associated with x values.

Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa

5 0
4 years ago
Read 2 more answers
Ann made a 33-step staircase using 1818 toothpicks as shown in the figure. How many toothpicks does she need to add to complete
malfutka [58]
You would take 1818÷33=55.09

55.09 is how many toothpicks it took for each step made

Then you would take 55.09×55=3029.95

You can make sure this is correct by taking 55.09×33=1817.97 which would actually be 1818 because you had to round it up 
5 0
3 years ago
Read 2 more answers
A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
pashok25 [27]

Answer:

- 4 - 5i

Step-by-step explanation:

The centre of the circle is the average of the endpoints

centre = (- 2 + i - 6 - 11i ) ÷ 2

          = (- 8 - 10i ) ÷ 2

         = - 4 - 5i

7 0
2 years ago
Solve P=2(l+w) for l
ira [324]

Answer:

this is the answer all you had to do was search it up

6 0
3 years ago
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