Find the value of x.<br><br> PLEASE HELP MEEEE!!! PLEASE AND THANK YOUU!!

Find the value of each trigonometric ratio

Orlov [11]

The value of each trigonometric ratio is

$$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17}, \ \tan A =\frac{15}{8}$

$$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8}, \ \cot A =\frac{8}{15}$

Solution:

The given triangle is right triangle.

AC (hypotenuse) = 34, AB (adjacent) = 16, BC (opposite) = 30

<u>To find the trigonometric ratios:</u>

Using trigonometric formulas for right triangle,

$$\sin \theta=\frac{\text { opposite }}{\text { hypotenuse }}$

$$\sin A=\frac{BC}{AC}$

$$\sin A=\frac{30}{34}=\frac{15}{17}$

$$\cos \theta=\frac{\text { adjacent }}{\text { hypotenuse }}$

$$\cos A=\frac{AB}{AC}$

$$\cos A=\frac{16}{34}=\frac{8}{17}$

$$\tan \theta=\frac{\text { opposite }}{\text { adjacent }}$

$$\tan A=\frac{BC}{AB}$

$$\tan A=\frac{30}{16}=\frac{15}{8}$

$$\csc A =\frac{1}{\sin A}$

$$\csc A =\frac{17}{15}$

$$\sec A =\frac{1}{\cos A}$

$$\sec A =\frac{17}{8}$

$$\cot A =\frac{1}{\tan A}$

$$\cot A =\frac{8}{15}$

Hence the value of each trigonometric ratio is

$$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17}, \ \tan A =\frac{15}{8}$

$$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8}, \ \cot A =\frac{8}{15}$

4 0

3 years ago

Find the quotient of <br> 1 2/3 ÷ 2 3/5<br><br> Give your answer as a fraction in its simplest form.

iogann1982 [59]

Answer:

25/39

Step-by-step explanation:

1 $\frac{2}{3}$ = $\frac{5}{3}$ (Multiply the denominator (3) by the whole number (1). Then add the numerator (2) to get the new numerator and convert to improper form).

3 × 1 + 2 = 5

2 $\frac{3}{5}$ = $\frac{13}{5}$ (Multiply the denominator (5) by the whole number (2). Then add the numerator (3) to get it the new numerator and convert to improper form).

5 × 2 + 3 = 13

Now we can more easily divide $\frac{5}{3}$ ÷ $\frac{13}{5}$ .

To divide by $\frac{13}{5}$ , we can multiply by it's reciprocal: $\frac{5}{13}$ (switch the numerator and denominator).

$\frac{5}{3}$ × $\frac{5}{13}$ = $\frac{5*5}{3*13}$ = $\frac{25}{39}$ . There are no common factors between 25 and 39 besides 1. So it's already simplified.

5 0

3 years ago

Based on the following data, would Beth and Roger Simmons receive a refund or owe additional taxes.

aivan3 [116]

Answer:

received a refun

Step-by-step explanation:

They will need to get refund based on the information given because I don't see any data to work with here

4 0

3 years ago

Which of the following sets of inequalities

Ludmilka [50]

Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

slope, m = (-2/-4) = 1/2

y-intercept is 2.

y ≤ (1/2)x + 2

The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2

y-intercept is -1.

y > 2x - 1

Hence, the correct options are 2 and 3.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

7 0

2 years ago

A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish

skad [1K]

Answer:

Step-by-step explanation:

1 bowl holds 5 fish

x bowls hold 263 fish

1/x = 5/263 Cross multiply

5x = 263 Divide by 5

5x/5 = 263/5

x = 52.6

So you actually need 53 fishbowls. One of them holds only 3 fish

6 0

3 years ago

Find the value of x. PLEASE HELP MEEEE!!! PLEASE AND THANK YOUU!!