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Oliga [24]
2 years ago
5

For an angle with measure x in a right triangle, sin x = 112/113

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

cosx=Adj/hyp

cosx=15/113

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Find the value of the variable and BC, if B is between A and C.<br> AB = 5x, BC = 3x-1, AC = 47
schepotkina [342]

Answer:

17

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

47 = 5x + 3x - 1

Combining like terms:

47 = 8x - 1

Add 1 on both sides:

48 = 8x

Divide 8 on both sides:

X = 6

Now that we know what X equals, we can solve BC.

BC = 3(6) - 1

BC = 18 - 1

BC = 17

Therefore BC = 17.

4 0
3 years ago
Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

8 0
1 year ago
Four ninths plus five sixths
sergey [27]

Answer:

1 5/18

one and five eighteenths  

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A music service chargers a $2.99 monthly membership fee plus $0.05 for each song purchased. If Naomi charges for the month was $
8_murik_8 [283]

Answer:

158

Step-by-step explanation:

10.89-2.99 = 7.90

.5/7.90=158

3 0
2 years ago
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Which expression represents, five times the quotient of two numbers?
Tpy6a [65]

Answer:

0 5(5)

Step-by-step explanation:

7 0
3 years ago
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