A transformation that changes the size of a figure to create a similar, either smaller or larger

Mathematics

1 answer:

irakobra [83]3 years ago

5 0

Answer:

A dialation

Step-by-step explanation:

A dilation keeps the same figure but either makes it smaller or bigger depending on the scale factor. If the scale factor is bigger than 1, it will be bigger and if it's less than 1 it will be smaller.

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At the beginning of the month a store had a balance of −$554. During the month the store lost another $600. What is the current

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Explain the difference between using the tangent ratio to solve for a missing angle in a right triangle versus using the cotange

Lena [83]

Answer:

While determining the angle $\theta$ with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other.

Step-by-step explanation:

See the diagram attached.

Let us assume a right triangle Δ ABC with ∠ B = 90°. Now, assume that the angle ∠ CAB = $\theta$ and the sides AB, BC, CA are 3, 4, 5 units respectively.

The tangent ratio of an angle $\theta$ is given by

$\tan \theta = \frac{BC}{AB} = \frac{4}{3}$

Again, the cotangent ratio of angle $\theta$ is given by

$\cot \theta = \frac{AB}{BC} = \frac{3}{4}$

Therefore, in both the cases of tangent ratio and cotangent ratio are inverse of each other and while determining the angle $\theta$ with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other. (Answer)