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3 years ago

What can you find with trig ratios?

1 answer:

7 0

The trig ratios can be used to find lots of information, and one of their main purposes is to help solve triangles. To solve a triangle means to find the length of all the sides and the measure of all the angles. This lesson will cover how to use trig ratios to find the side lengths of a triangle.

I hope that helps. I don't know if it right or wrong, but good luck :)

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You are giving 24 linear feet of fencing all 3 feet tall you wish to make the largest rectangular enclosure possible to maximize

earnstyle [38]

Answer:

The largest area enclosed is A = xy = 6 feet $\times$ 6 feet = 36 $feet^{2}$

Step-by-step explanation:

i) The perimeter of the area is 2 $\times$ (x + y) =24 ∴ x + y = 12 ∴ y = 12 - x

ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x - $x^{2}$

iii) differentiating both sides of the equation in ii) we get

$\dfrac{dA}{dx} = 12 - 2x = 0$ ⇒ x = 6 feet

iv) Differentiating both sides of equation in iii) we get $\frac{d^{2}A}{dx^{2} }$ = -2

Therefore the area enclosed is maximum as the double derivative is negative

v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet

vi) therefore the largest area enclosed is

A = xy = 6 feet $\times$ 6 feet = 36 $feet^{2}$

7 0

3 years ago

The two-way frequency table shows the results of a survey of a certain forest. Find the probability that a randomly chosen tree

REY [17]

Just read the table!

From "the probability that a randomly chosen tree": 
 ⇒ How many Trees? 
Write the denominator. 

From "will be a California redwood tree taller than 300 ft"" 
 ⇒ How many California redwood tree taller than 300 ft? 
Write the numerator. 

Done.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

7 0

3 years ago

Read 2 more answers

Which equations for the measures of the unknown

MAXImum [283]

Answer: Option B, Option C, Option E

Step-by-step explanation:

The options written correctly, are:

$A)x = cos^{-1}(\frac{a}{c})\\\\B) x = sin^{-1}(\frac{c}{b})\\\\C)x = tan^{-1}(\frac{c}{a})\\\\D) y = sin^{-1}(\frac{a}{c})\\\\ E)y = cos^{-1}(\frac{c}{b})$

For this exercise you need to use the following Inverse Trigonometric Functions:

$1)\ sin^{-1}(x)\\\\2)\ cos^{-1}(x)\\\\3)\ tan^{-1}(x)\\\\$

When you have a Right triangle (a triangle that has an angle that measures 90 degrees) and you know that lenght of two sides, you can use the Inverse Trigonometric Functions to find the measure of an angle $\alpha$ :

$1)\alpha = sin^{-1}(\frac{opposite}{hypotenuse}) \\\\2)\ \alpha =cos^{-1}(\frac{adjacent}{hypotenuse})\\\\3)\ \alpha=tan^{-1}(\frac{opposite}{adjacent})$

Therefore, the conclusion is that the angles "x" and "y" can be found with these equations:

$x=sin^{-1}(\frac{c}{b})\\\\x= cos^{-1}(\frac{a}{b})\\\\x=tan^{-1}(\frac{c}{a})\\\\\\ y=sin^{-1}(\frac{a}{b})\\\\y=cos^{-1}(\frac{c}{b})\\\\y=tan^{-1}(\frac{a}{c})$

5 0

4 years ago

Read 2 more answers

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "70% chance of winning!" What is the

Ronch [10]

The answer is 30% because if there is a 70% chance then minus 70% from 100% you get 30%

8 0

3 years ago

Read 2 more answers

jesse drives to work. The distance jesse's car travles (d) on a number of gallons of gas (g) is given y the equation d=15g.

Mademuasel [1]

You need to know what the distance jesse traveled is and then the number of gallons of gas she has then you plug it it.

distance equals 15 times the amount of gas in gallons
d=15g

8 0

4 years ago