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3 years ago

In triangle DEF, what is sin D, in simplified form?

Mathematics

2 answers:

svetoff [14.1K]3 years ago

6 0

According to the picture represented above, sin D = is opposite side divide hypothenuse. And that's actually the main point which make everything clear, here :
 $sin D = 20/25$
then
$sin D = 4/5$ . And that's all! As you can see, the correct answer is B.

Alik [6]3 years ago

6 0

Answer:

sin D = 4/5

Hope this helps :)

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Which function is the inverse of f(x) = -5x-4?

tankabanditka [31]

Step-by-step explanation:

$f(x) = - 5x - 4$

$\:$

Inverse

$y = - 5x - 4$

$x = - 5y - 4$

$x + 4 = - 5y$

$y = - \frac{(x + 4)}{5}$

${f}^{ - 1} (x) = - \frac{(x + 4)}{5}$

4 0

3 years ago

How to find the inverse of h(x) = 3/ -x - 2 List steps.

PtichkaEL [24]

To find the inverse,

First, you would have to switch the domain and range. In other words, swap x and y:

h(x) = 3/ -x-2
y = 3/ -x-2
x = 3/ -y-2

Then, when you have this, simply solve for y:

x = 3/-y-2
x (-y-2) = 3/-y-2 (-y-2)
x(-y-2) /x= 3 /x
-y-2 = 3/x
-y = 3/x + 2
y = -3/x -2

So the inverse would be
h⁻¹(x)= -3/x -2

7 0

4 years ago

The online game World of Warcraft has seen a decline in subscribers in recent years. The number of subscribers peaked in 2010 at

agasfer [191]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of subscribers in 2010 = 11.99 million

Number of subscribers 2015 = 5.43 million

Let :

N = number of subscribers in millions

t = time in years

Exponential function which describes this decline :

N(t) = No×e^kt

Solve for k at t = 5

11,990,000 = 11,990,000 × e^k*0

5,430,000 = 11,990,000 × e^5k

0.4528773 = e^5k

In(0.4528773) = In(e^5k)

−0.792134 = 5k

k = −0.792134 / 5

k = −0.158426

What will the number of subscribers be in 2019?

In 2019

t = (2019 - 2010) = 9

N(t) = 11,990,000×e^(−0.158426*9)

= 11,990,000 * e^(−1.425841)

= 11,990,000 × 0.2403062

= 2,881,511.5 = 2,881,511

3. In what year will the number of subscribers fall below 1, 500,000?

N(t) = No×e^kt

1,500,000 = 11,990,000 × e^(−0.158426*t)

0.1251042 = e^(−0.158426*t)

In(0.1251042) = In(e^(−0.158426*t))

−2.078607 = 0.158426*t

t = (−2.078607 / 0.158426)

t = −13.12036

After 13.12036 years

2010 + 14 = 2024

4 0

3 years ago

What would the graph of Х/4.8 < 1.25 look like?

Rina8888 [55]

Answer:

Step-by-step explanation:

x/4.8 < 1.25 Multiply both sides by 4.8

4.8 x / 4.8 < 1.25*4/8

x < 6

What this means is that every every number less than 6 is a solution to this inequality.

Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.

What you want is more closely related to a number line and sort of looks like this

-----o-----o-----o-----o-----o-----o-----o-----o

-1 0 1 2 3 4 5 6

<===============================o

Explanation

The top line is the actual number line or the graph

o------- is the way it is made.

The second line are the number divisions of the number line

The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.

5 0

3 years ago

Neha is developing multiple neighborhoods. The following data points represent the number of new homes that will be built in eac

Anton [14]

Answer:

we cant see the data

Step-by-step explanation:

6 0

3 years ago