Please Help me To solve this Problem

Mathematics

1 answer:

mart [117]2 years ago

3 0

You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.

Recall the Pythagorean identity,

cos²(φ) + sin²(φ) = 1

Multiply the equation uniformly by 1/cos²(φ),

cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)

1 + tan²(φ) = sec²(φ)

Solve for sec(φ) :

sec(φ) = - √(1 + tan²(φ))

Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then

sec(φ) = - √(1 + 4²) = -√17

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Launa bought 20 pizzas for a party. How many pieces of pizza will she have if she divides them each into eighths? A 20 B 190 C16

mart [117]

Answer:

D. 160 pieces of pizza!

Step-by-step explanation:

If each pizza is cut into 8 pieces you would multiply 20 by eight and you get 160. Hope this helps! Have a great day!

5 0

2 years ago

Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor o

qaws [65]

Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

<h3>What is scale factor?</h3>

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

Read more on scale factor here: brainly.com/question/2826496

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