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3 years ago

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How can you find a trigonometric function of an acute angle 0 ?

1 answer:

Shkiper50 [21]3 years ago

6 0

The characteristics of similar triangles, originally formulated by Euclid, are the building blocks of trigonometry. Euclid's theorems state if two angles of one triangle have the same measure as two angles of another triangle, then the two triangles are similar. Also, in similar triangles, angle measure and ratios of corresponding sides are preserved. Because all right triangles contain a 90° angle, all right triangles that contain another angle of equal measure must be similar. Therefore, the ratio of the corresponding sides of these triangles must be equal in value. These relationships lead to the trigonometric ratios. Lowercase Greek letters are usually used to name angle measures. It doesn't matter which letter is used, but two that are used quite often are alpha (α) and theta (θ).

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Tereka and Emma each deposit money in savings accounts. The amount of money, in dollars, in Tereka’s account after x years is mo

Over [174]

Given:

Amount of money in Tereka’s account : $T(x)=472(1.04)^x$

Amount of money in Emma’s account : $E(x)=485(1.09)^x$

To find:

The difference between initial amounts Tereka and Emma deposit.

Solution:

Substitute x=0 in the given functions, to get the initial amount of money they deposit.

$T(0)=472(1.04)^0$

$T(0)=472(1)$

$T(0)=472$

So, the initial amount Tereka deposit is $472.

$E(0)=485(1.09)^0$

$E(0)=485(1)$

$E(0)=485$

So, the initial amount Emma deposit is $485.

Difference between the initial amounts Tereka and Emma deposit is

$485-472=13$

Therefore, the difference between initial amounts Tereka and Emma deposit is $13. Emma deposit $13 more than Tereka.

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3 years ago

A set of premises and a conclusion are given. Use the valid argument forms discussed in this chapter to deduce the conclusion fr

Alex_Xolod [135]

Answer:

See deduction below

Step-by-step explanation:

I will use the known inference rules (modus ponens, etc)

From d) and b),

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q → r

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From a), and our previous conclusion:

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Until know, we have concluded p and ~q. By e)

~q → u ∧ s

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Therefore u∧s. (Modus Ponens)

From p, u∧s, and c)

u∧s

s (simplification)

p (previous conclusion)

p∧s (adjuntion)

p∧s→t (Modus Ponens)

Therefore t, as we wanted to conclude.

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Answer:

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Step-by-step explanation:

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She cover more distance after rest 101.7-88.4625=13.2375

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When asked to write the prime factorization of 99, a student wrote 11 dotmath 9. Complete the explanation of the error and enter

mestny [16]

Answer:

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Step-by-step explanation:

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