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3 years ago

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For exponential growth, what changes to the model could make it more realistic? Similarly, how could you modify exponential deca

y models to make them more realistic?

1 answer:

Shtirlitz [24]3 years ago

4 0

Answer:

wdym

Step-by-step explanation:

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Given: ABC is a right triangle with right angle C. AC=15 centimeters and m∠A=40∘ . What is BC ? Enter your answer, rounded to th

konstantin123 [22]

In order to answer this question, the figure in the first picture will be helpful to understand what a right triangle is. Here, a right angle refers to $90\°$ .

However, if we want to solve the problem we have to know certain things before:

In the second figure is shown a general right triangle with its three sides and another given angle, we will name it $\alpha$ :

The side <u>opposite to the right angle</u> is called The Hypotenuse (h)

The side <u>opposite to the angle $\alpha$ </u> is called the Opposite (O)

The side <u>next to the angle $\alpha$ </u> is called the Adjacent (A)

So, going back to the triangle of our question (first figure):

The Hypotenuse is AB

The Opposite is BC

The Adjacent is AC

Now, if we want to find the length of each side of a right triangle, we have to use the <u>Pythagorean Theorem</u> and T<u>rigonometric Functions:</u>

Pythagorean Theorem

$h^{2}=A^{2} +O^{2}$ (1)

Trigonometric Functions (here are shown three of them):

Sine: $sin(\alpha)=\frac{O}{h}$ (2)

Cosine: $cos(\alpha)=\frac{A}{h}$ (3)

Tangent: $tan(\alpha)=\frac{O}{A}$ (4)

In this case the function that works for this problem is cosine (3), let’s apply it here:

$cos(40\°)=\frac{AC}{h}$

$cos(40\°)=\frac{15}{h}$ (5)

And we will use the Pythagorean Theorem to find the hypotenuse, as well:

$h^{2}=AC^{2}+BC^{2}$

$h^{2}=15^{2}+BC^{2}$ (6)

$h=\sqrt{225+BC^2}$ (7)

Substitute (7) in (5):

$cos(40\°)=\frac{15}{\sqrt{225+BC^2}}$

Then clear BC, which is the side we want:

${\sqrt{225+BC^2}}=\frac{15}{cos(40\°)}$

${{\sqrt{225+BC^2}}^2={(\frac{15}{cos(40\°)})}^2$

$225+BC^{2}=\frac{225}{{(cos(40\°))}^2}$

$BC^2=\frac{225}{{(cos(40\°))}^2}-225$

$BC=\sqrt{158,41}$

$BC=12.58$

Finally $BC$ is approximately 13 cm

7 0

4 years ago

Read 2 more answers

There are red blood cells contained in 50 oubic millimeters of blood se scientific notation. Use the multiplication symbol in th

Rus_ich [418]

Answer: 5\times10

Step-by-step explanation:

We know that the scientific notation is a representation of a very large or a very small number in the product of a decimal form of number (commonly between 1 and 10) and powers of ten.

Given : There are red blood cells contained in 50 cubic millimeters of blood .

The representation of 50 cubic millimeters in scientific notation is given by :-

$5\times10\ \text{cubic millimeters }$

7 0

4 years ago

Classify the quadrilateral.<br> and what do the arrows mean?

AleksandrR [38]

Answer:

parallelogram is yr answer.

and the arrow means the direction of line.

<h3>stay safe healthy and happy.</h3>

3 0

3 years ago

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How lo

Digiron [165]

10.5 Minutes. :) You take 0.8 and multiply it by 6.25 then add 5.5 too it.

8 0

3 years ago

What is 34×50 please my mom whant to know how does this app works

mote1985 [20]

1,700 I think is the answer

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3 years ago

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