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barxatty [35]
2 years ago
8

Can someone please help me

Mathematics
1 answer:
Marrrta [24]2 years ago
7 0

Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.

<h3>How to find the value of a trigonometric function</h3>

Herein we must make use of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions to find the right value. According to trigonometry, both cosine and sine are <em>negative</em> in the <em>third</em> quadrant. Thus, by using the <em>fundamental trigonometric</em> expression (sin² α + cos² α = 1) and substituting all known terms we find that:

\sin \theta = -\sqrt{1 - \cos^{2}\theta}

\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}

sin θ ≈ - √731 / 30

Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

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A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24
Hunter-Best [27]

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

8 0
3 years ago
Here is a map of a town.
Nimfa-mama [501]

Answer:

The real-life distance between the park and the theatre is of 12 km.

Step-by-step explanation:

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Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km

What is the real-life distance between the park and the theatre?

On the map, the distance between them is of 3 centimeters.

3*4 = 12

The real-life distance between the park and the theatre is of 12 km.

3 0
2 years ago
PLEASE HELP!!
Rashid [163]

Answer:

The answer is $10.80

Step-by-step explanation:

It goes up $0.70 every mile and the flat fee is $3.10.

The equation 3.1 + 0.7(x) when x is the number of miles traveled.

Substitute 11 for x and get  3.1 + 0.7(11).

The answer is $10.80

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3 years ago
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Akimi4 [234]

Answer:

Step-by-step explanation:

5 0
3 years ago
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