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masha68 [24]
3 years ago
10

Please help I took a screenshot of the question

Mathematics
2 answers:
Ymorist [56]3 years ago
8 0
I don’t understand what the question is telling me
natulia [17]3 years ago
8 0

Answer:

\displaystyle \frac{\cos A}{\cos B}=1

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The relations between the sides of a right triangle and the angles are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine is defined as:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

Considering angle A, we have:

\displaystyle \cos A=\frac{3}{4.24}

Considering angle B:

\displaystyle \cos B=\frac{3}{4.24}

Both expressions are exactly the same, thus:

\displaystyle \frac{\cos A}{\cos B}=1

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Keith_Richards [23]

Answer:

(-9.5, -4)

Step-by-step explanation:

Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}).

Given two endpoints of the original segment

→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]

Along with the ratio of the two partitioned segments

→ 1 to 3 = 1:3 [a:b]

Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

We can apply this formula and understand how it was derived to figure out where the point of partition is.

Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

y₂ = 8

a = 1

b = 3

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}). →

( \frac{(1) }{(1) + (3)} ((-8) - (-10)) + (-10), \frac{(1)}{(1) + (3)} ((8) - (-8))+ (-8)) →

( \frac{1}{4} ((-8) - (-10)) + (-10), \frac{1}{4}((8) - (-8)) + (-8)) →

( \frac{1}{4} (2) + (-10), \frac{1}{4}(16) + (-8)) →

( (\frac{1}{2}) + (-10), (4) + (-8)) →

( (-\frac{19}{2}), (-4)) →

( -\frac{19}{2}, -4) →

*( -9.5, -4)*

Now the reason why this

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Answer:

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Step-by-step explanation:

<u>To make the given piecewise function continuous we need:</u>

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<u>It gives us the system:</u>

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<u>Sum of the two:</u>

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<u>Then b is:</u>

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Just did it!

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