All categories

3 years ago

Find x. Round your answer to the nearest tenth of a degree.

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

Answer:

41.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 9/12

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 (9/12)

x = 41.41

To the nearest tenth

x = 41.4

You might be interested in

Solve the system of equations.

babunello [35]

Answer:

option ( c ) is correct !!

Step-by-step explanation:

Given equations :-

y = -6x + 9 ________ ( i )

y = -3x + 3 .....( ii )

Equating both i and ii

-6x + 9 = -3x + 3

-6x + 3x = 3-9

-3x = -6

x = -6/-3

x = 2

Also, y = -3x + 3

y = -3(2) + 3

y = -6 + 3

y = -3

So, ( x , y ) = ( 2 , -3 )

6 0

4 years ago

Find the area of a square with side lengths of 40x^2y^3

Korolek [52]

Answer:

grjik

Step-by-step explanation:

6 0

4 years ago

1 2 3 4 5 6 7 8 9 10 The variety of organisms within an ecosystem is characteristic of which type of diversity? a. Genetic diver

Anuta_ua [19.1K]

Answer:

its C (Species diversity)

Step-by-step explanation:

4 0

3 years ago

Renee and Mike are skateboarding the ratio of the distance that Renee boards to the distance Mike boards 5 to 3 if Renee boards

kotykmax [81]

Answer:

The required distance is 147 m.

Step-by-step explanation:

Consider the provided information.

Renee and Mike are skateboarding the ratio of the distance that Renee boards to the distance Mike boards 5 to 3

This can be written as:

$\frac{Renee }{Mike } =\frac{5}{3}$

It is given that Renee boards 245 m.

Substitute the respective values in the above equation.

$\frac{245}{Mike } =\frac{5}{3}$

$Mike =\frac{245\times 3}{5}$

$Mike =49\times 3$

$Mike =147$

Hence, the required distance is 147 m.

5 0

4 years ago

The exponential model Upper A equals 682.2 e Superscript 0.013 t describes the population, A, of a country in millions, t year

Triss [41]

Answer:

The population will become 840 million in 2019.

Step-by-step explanation:

Given:

The exponential model of population is given as:

$A=682.2e^{0.013t}$

Here, 't' is in years measured since 2003.

This means for the year 2003, t = 0 and so on.

Now, in order to get the year when the population is 840 million, we need to plug in 840 for 'A' and solve for 't'. Therefore,

$840=682.2e^{0.013t}\\\\e^{0.013t}=\frac{840}{682.2}\\\\e^{0.013t}=1.2313$

Taking natural log on both sides, we get:

$0.013t=\ln(1.2313)\\\\0.013t=0.2081\\\\t=\frac{0.2081}{0.013}\\\\t=16\ years$

Therefore, 16 years after 2003, the population will be 840 million.

So, the year is equal to 2003 + 16 = 2019.

Hence, in the year 2019, the population will become 840 million.

6 0

3 years ago