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3 years ago

ASAP!!! I NEED HELP geometry/trigonometry please

Mathematics

1 answer:

777dan777 [17]3 years ago

6 0

Answer:

Perpendicular = Y = 34.64 ft (Approx)

Base = X = 20 ft

Step-by-step explanation:

Given:

θ = 60°

Hypotenuse = 40 ft

Perpendicular = Y

Base = X

Find:

X and Y

Computation:

Sinθ = Perpendicular / Hypotenuse

Sin 60 = Y / 40

Perpendicular = Y = 34.64 ft (Approx)

Cosθ = base / Hypotenuse

cos 60 = X / 40

Base = X = 20 ft

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Answer:

(x = 6, y = -7)

Step-by-step explanation:

Solve the following system:

{4 x + 2 y = 10 | (equation 1)

x - y = 13 | (equation 2)

Subtract 1/4 × (equation 1) from equation 2:

{4 x + 2 y = 10 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Divide equation 1 by 2:

{2 x + y = 5 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 5 | (equation 1)

0 x - y = 7 | (equation 2)

Multiply equation 2 by -1:

{2 x + y = 5 | (equation 1)

0 x+y = -7 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 12 | (equation 1)

0 x+y = -7 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 6 | (equation 1)

0 x+y = -7 | (equation 2)

Collect results:

Answer: {x = 6 , y = -7

5 0

3 years ago

What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)

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Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

A(-1, 4) is the original point

A'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

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