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lukranit [14]
1 year ago
11

Which ratio is equivalent to Sun U?

Mathematics
1 answer:
adelina 88 [10]1 year ago
4 0

Answer:

  (a)  SV/VW

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides in a right triangle. This problem also makes use of the properties of similar triangles:

  • corresponding sides are proportional
  • corresponding angles are congruent

__

<h3>sine ratio</h3>

The sine of angle U is given by ...

  Sin = Opposite/Hypotenuse

The side opposite angle U in ΔTUS is ST. The hypotenuse of that right triangle is side TU. This means the desired ratio is ...

  sin(U) = Opposite/Hypotenuse = ST/TU

<h3>corresponding ratio</h3>

In similar ΔVWS, angle W has the same measure as angle U. Its sine will be the ratio of the corresponding sides. The similarity statement ΔTUS~ΔVWS tells you that the side corresponding to ST is SV, and the side corresponding to TU is VW.

  sin(U) = sin(W) = SV/VW

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The correct option is C.
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Answer:

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Step-by-step explanation:

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3 years ago
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Ilia_Sergeevich [38]

Answer:

Then the solution is (4, 6).

Step-by-step explanation:

Let's use the substitution method:

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3x + (-2x + 32) = 36, or

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Check, using the first equation:

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7 0
3 years ago
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Sladkaya [172]

Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

C(h) = 3h + 20

Item a:

Comparing to the standard function, we have that:

  • The initial value is of 3 and the rate of change is of 20.

Item b:

The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

You can learn more about linear function concepts at brainly.com/question/24808124

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