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2 years ago

Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios

Mathematics

2 answers:

Effectus [21]2 years ago

8 0

sin(R) = 12/13

tan(<span>T</span>) = 5/12

sergejj [24]2 years ago

5 0

Sin (r) = 12/13
tan (t) = 5/12

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each sine or cosine value to its equivalent

vazorg [7]

Answer:

Step-by-step explanation:

cos(34) =sin(56)

cos(77)=sin(13)

sin(25)=cos(65)

sin(61)=cos(29)

7 0

1 year ago

A rectangular pool is 18 meters wide and 24 meters long. If you swim diagonally across the pool, how many meters would you be sw

Zanzabum

Using the Pythagorean theorem, the diagonal measure is found as
√((18 m)² +(24 m)²) = √(324 +576) m = √900 m
= 30 m

You would be swimming 30 meters.

6 0

3 years ago

Let f(x) = x+2/x+6 <br> f^-1(-6) =

GREYUIT [131]

We can explicitly find the inverse. If $f^{-1}(x)$ is the inverse of $f(x)$ , then

$f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x$

Solve for the inverse :

$\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x$

$\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x$

$1 - \dfrac4{f^{-1}(x) + 6} = x$

$1 - x = \dfrac4{f^{-1}(x) + 6}$

$f^{-1}(x) + 6 = \dfrac4{1-x}$

$\implies f^{-1}(x) = \dfrac4{1-x} - 6$

Then when x = -6, we have

$f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}$

Alternatively, we can first solve for x such that $f(x) = -6$ . Then taking the inverse of both sides, $x = f^{-1}(-6)$ . (The difference in this method is that we don't compute the inverse for all x.)

We have

$\dfrac{x+2}{x+6} = -6$

$x + 2 = -6 (x + 6)$

$x + 2 = -6x - 36$

$7x = -38$

$\implies x = \boxed{-\dfrac{38}7}$

8 0

2 years ago

The percentage of organ donors who died from drug overdoses changed by 9.34% - 1.10% =8.24% between 2000 and 2015. what is this

larisa86 [58]

The current percentage in comparison to in the year 2000 is 88.22%.

We are given the percentage of death in the year 2000, 2015 and the difference. Now, we have to find the percentage of donors between change and the original deaths in the year 2000.

To find this, we will use the following formula -

Percentage change = Difference between the percentage change in the year 2000 to 2015 ÷ Percentage of deaths in the year 2000 ×100

Now, keep the values in formula to find the percentage change.

Percentage change = $\frac{8.24}{9.34} *100$

Performing division to find the percentage change

Percentage change = 0.882*100

Further performing multiplication to get the answer in the form of percentage

Percentage change = 88.22%

Hence, the comparison of difference with the percentage of donors dying from drug overdoses in 2000 is 88.22%.

Learn more about problems on percentage -

brainly.com/question/11712455

#SPJ4

5 0

1 year ago

Solve x2 - 8x + 15 <0.

Stels [109]

Answer:

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;

Step 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3) <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

Therefore, the solution set for the quadratic inequality are x<3 and x<5

3 0

2 years ago