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Whitepunk [10]
3 years ago
13

Solve for x the rest of the question is in the png

Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

33.18

Step-by-step explanation:

Use law of sines.

x / sin(65°) = 21 / sin(35°)

x = 21 sin(65°) / sin(35°)

x ≈ 33.18

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What is the value of the logarithm? ln(52) round the answer to the nearest ten thousandth. Enter your answer in the box.
olya-2409 [2.1K]

After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

To learn more about rounding values visit brainly.com/question/14200883

#SPJ4

4 0
1 year ago
Look at this sequence of numbers: 0, 1, 2, 4, 6, 9, 12, 16, ? - what number should replace the question mark?
andreev551 [17]

Answer:

20

Step-by-step explanation:

0 to 1 = a difference of 1

1 to 2 = a difference of 2-1 = 1

===============

2 to 4 = a difference of 2

4 to 6 = a difference of 2

===============

6 to 9 = a difference of 3

9 to 12 = a difference of 3

===============

12 to 16 = a difference of 4

16 to 20 = a difference of 4

4 0
3 years ago
What type of number is 0.2782
givi [52]
It is a decimal answer if you used a calculater, and divided then got that answer, then try the same problems just switch the order that you put in the calculater, ex: if you divide 408÷1201 ,and then you get an answer like that, then you would divide it like 1201÷408
I hope this helped :)
4 0
3 years ago
Read 2 more answers
In this example we modeled the world population from 1900 to 2010 with the exponential function P(t) = (1436.53) · (1.01395)t wh
Sergio [31]

Answer:

a) Rate of increase = 26.66 millions per year

b) Rate of increase = 42.64 millions per year

c) Rate of increase = 79.53 millions per year

Step-by-step explanation:

We are given that population is modeled with the exponential function:

P(t) = (1436.53).(1.01395)^t

where t = 0 corresponds to the year 1900 and P(t) is measured in millions.

Rate of increase of world population =

\displaystyle\frac{d(a^x)}{dx} = a^xln(a)\\\\P'(t) = (1436.53)(1.01395)^tln(1.01395)\\\\P'(t) = (1436.53)ln(1.01395)(1.01395)^t

a) 1920

P'(1920-1900) = (1436.53)(ln(1.01395))(1.01395)^{(1920-1900)}\\P'(20) = (1436.53)(ln(1.01395))(1.01395)^{(20)}\\P'(20) \approx 26.66

Rate of increase = 26.66 millions per year

b) 1955

P'(1955-1900)=(1436.53)(ln(1.01395))(1.01395)^{(1955-1900)}\\P'(55) = (1436.53)(ln(1.01395))(1.01395)^{(55)}\\P'(55) \approx 42.64

Rate of increase = 42.64 millions per year

c) 2000

P'(2000-1900) = (1436.53)(ln(1.01395))(1.01395)^{(2000-1900)}\\P'(100) = (1436.53)(ln(1.01395))(1.01395)^{(100)}\\P'(100) \approx 79.53

Rate of increase = 79.53 millions per year

6 0
3 years ago
50 Points!! Paul graphs the line of the equation y = 2 x + 6. Stuart graphs a line with the same x -intercept and a y -intercept
Ivanshal [37]

Paul       y = 2x+6

x intercept when y=0

0 = 2x+6

-6 = 2x

divide by 2

x=-3


Stuart     y = mx+2    (y intercept is 2)

one of the points is (-3,0)  the same x intercept)

             0 = m(-3) +2

subtract 2 from each side

-2 = -3m

divide by -3

2/3 =m

 y = 2/3 x+2


Paul       y = 2x+6

Stuart     y = 2/3 x+2  


The slope of Paul's line is greater than Stuart's line.  


8 0
3 years ago
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