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3 years ago

Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4

Mathematics

1 answer:

krok68 [10]3 years ago

8 0

Step-by-step explanation:

sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3

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Help please i will give brainlest

Anton [14]

Your answer is B. 3 13/24

Hoped this helped :)

Have a wonderful day-

8 0

2 years ago

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This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round

nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

$x:y \\ \\ x: \ Width \\ \\ y: \ Height$

So, it is true that:

$x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}$

In this case, we know that the monitor has a diagonal length (D):

$D=19in$

So, by Pythagorean theorem:

$D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}$

$D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in$

Finding x:

$x=\frac{5(11.869)}{4} \\ \\ x=14.836in$

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0

3 years ago

What is the answer for. -3x > -15

lana [24]

Answer:

x<5

Step-by-step explanation:

-3x > -15

Divide -3 on both sides:

$\frac{-3x}{-3} >\frac{-15}{-3}$

x<5

*Note the sign switches because

the x is negative. The sign only

switches when the number you

are dividing by is negative.*

7 0

3 years ago

In a random sample of 16 residents of the state of Washington, the mean waste recycled per person per day was 2.8 pounds with a

kakasveta [241]

Answer: The required confidence interval would be (2.72,2.89)

Step-by-step explanation:

Since we have given that

Mean = 2.8 pounds

Standard deviation = 0.24 pounds

n = sample size = 16

We need to find the 80% confidence interval for the mean waste.

z=1.341

So, the confidence interval will be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=(2.8\pm 1.341\times \dfrac{0.24}{\sqrt{16}})\\\\=(2.8\pm 1.314\times 0.06)\\\\=(2.8-0.07884,2.8+0.07884)\\\\=(2.72116,2.87884)$

Hence, the required confidence interval would be (2.72,2.89)

4 0

3 years ago

What is 5 cubed? Hint:5*5*5<br><br><br><br><br><br><br><br><br><br><br><br><br> 125

skelet666 [1.2K]

125 is the correct answer but you answered yourself?

5 0

3 years ago

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