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Naddika [18.5K]
3 years ago
11

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

x = 10.2

Step-by-step explanation:

Here we have a right triangle with hypotenuse 11, angle 22° and adjacent side x.  Our task is to find x to the nearest tenth.

The cosine function nicely connects the hypotenuse and the adjacent side:

                 adjacent side

cos 22° = ------------------------

                     hypotenuse

We solve for the adjacent side (x) by multiplying both sides of this equation by "hypotenuse:"

x = adjacent side = 11*cos 22 = 11(0.9272 radian).

Performing the indicated multiplication, we arrive at:

x = 10.1990, or, rounded to the nearest tenth, x = 10.2.

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1.) Find the nth term of the sequence 1, 3, 7, 13, 21, 31… 2.) The three consecutive terms of an exponential sequence are the se
trasher [3.6K]

Answer:

1) xₙ = n² - (n - 1)

2) 1/4

Step-by-step explanation:

1)    1 = 1² - (1-1)

3 = 2² - (2-1)

7 = 3² - (3-1)

13 = 4² - (4-1)

...........

xₙ = n² - (n - 1)

2) three consecutive terms of an exponential sequence: x, rx , r²x

x: 2nd term of linear sequence

rx: 6th term of linear sequence      rx = x + 4d

r²x: 7th term of linear sequence     r²x = rx + d     d = r²x - rx

rx = x + 4 * (r²x - rx) = x + 4r²x - 4rx

4xr² -5rx + x = 0

x(4r² -5r + 1) = 0

x (4r - 1) ( r - 1) = 0

x = 0 or r = 1/4 or r = 1

if either x = 0 or r = 1      d will be equals to "0" everything became 0

So the only reasonable answer is r = 1/4

3 0
3 years ago
If $860 is invested for one year at 11% simple interest, how much interest is earned?
Licemer1 [7]
860 *11/100=9460/100=94.6
94.6 is earned

4 0
3 years ago
What is 25 divided by 82?
Murrr4er [49]
In decimal form it’s 0.3048.. so basically 0.3
6 0
3 years ago
5.00 minus2.40minus1.33= plz show me how you got that answer step by step
Arada [10]

Answer:

5.00 -2.40= 2.60

2.60-1.33= 1.27

The answer is 1.27

Step-by-step explanation:

8 0
3 years ago
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
djverab [1.8K]

Answer:

  • The function f(x) = 9,000(0.95)^x represents the situation.
  • After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
  • The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

  f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

  f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

7 0
3 years ago
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