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3 years ago

Find the exact value of the expression

Mathematics

1 answer:

Serhud [2]3 years ago

6 0

Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

sec Ф = 9/2

tan Ф = ?

To solve this problem use trigonometric functions.

1.- The first condition is that the angle must be in the fourth quadrangle

(270° < Ф < 360°).

2.- Write the trigonometric function sec.

sec Ф = hypotenuse / adjacent side and sec Ф = 9/2

then, hypotenuse = 9 adjacent side = 2

3.- Use the Pythagorean theorem to find the adjacent side.

Hypotenuse² = Opposite side² + Adjacent side²

-Solve for Opposite side

Opposite side² = Hypotenuse² - Adjacent side sie²

-Substitution

Opposite side² = 9² - 2²

-Simplification

Opposite side² = 81 - 4

Opposite side² = 77

Opposite side = √77

4.- Find the tan Ф

tan Ф = Opposite side/Adjacent side

-Substitution

tanФ = -√77 / 2 It is negative because in the fourth quadrangle

tan is negative.

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Josh walked a total of 5 miles today. First he walked 1 mile from his house to the park. Then he walked

stiv31 [10]

We know that the distance to the park is 1 mile. The distance is the same if he travels the same way back home, which we are assuming is what happened.

The distance traveled back and forth: 1 + 1 = 2 miles

We can subtract to find how many miles he still needed to walk: 5 - 2 = 3 miles.

To find how many times Josh walked around the trail, we can divide: 3 / 1/2 = 6 laps around the trail which is equal to 3 miles.

Check our answer: 3 + 2 = 5 (true)

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3 years ago

What is an assymptope

Tom [10]

Answer:

I do not know what an assymptope is but..

Step-by-step explanation:

If you mean an asymptote, it means: a line that continually approaches a given curve but does not meet it at any finite distance

7 0

3 years ago

The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ou

GalinKa [24]

Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ $z = \frac{4.14-4.5}{0.3}$

$=-1.20$

then,

⇒ $P(z>-1.20) = P(z$

$=0.8849$

(b)

P(4.8 < x < 5.04)

= $P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )$

= $P(1$

= $P(z$

= $0.9641 -0.8413$

= $0.1228$

or,

= $12.28$ (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ $1.645 = \frac{x - 4.5}{0.3}$

$x = 4.9935$

(d)

P(x < 5.01)

⇒ $z = \frac{x- \mu}{\sigma}$

$=\frac{5.01-4.5}{0.3}$

$=1.7$

P(z < 1.70) = 0.9554

⇒ $n = \frac{27875}{0.9954}$

$=28004$

3 0

3 years ago

What is the solution to the linear equation? d – 10 – 2d + 7 = 8 + d – 10 – 3d

pishuonlain [190]

Answer:

d = 0.33

Step-by-step explanation:

First off, you want to get like terms next to each other. We'll move the numbers with variables on one side and normal numbers on the other. Since we're changing the sides of the equal sign they're on, this also changes whether their positive or negative.

d - d - 2d + 3d = 10 -7 + 8 - 10

Now that they're together, we can add or subtract them. The variables without numbers can be ones for this equation.

3d = 1

Now we divide 1 by 3 to find what d equals.

3d/3 = 1/3

d = 0.33

6 0

3 years ago

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Nataliya [291]

Answer:

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Step-by-step explanation:

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3 years ago