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4 years ago

13

Solve for θ if sinθ = 0.45. Round answer to the nearest degree.

1 answer:

marysya [2.9K]4 years ago

7 0

If you look in a table of sines, you find that sin(θ) = 0.45 corresponds to an angle of about 26°45', so is nearest to 27°.

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The NFL office discovered data covering attendance at professional football games in the late 1940s and early 1950s. The game wi

alekssr [168]

Answer:

option B

Step-by-step explanation:

Regression models are not usually made use of if the need is to predict population, which has to do with number present as well as the stocks of large companies and so on, reason being that their variable levels or confidence interval are usually out of range of those used for a regression

8 0

3 years ago

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

So

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

So

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

So

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

Find the value of y for the given value of x. Round to the nearest hundredth.

BlackZzzverrR [31]

Answer:

20.922

Step-by-step explanation:

Evaluate ln 7.2 on a calculator; the correct result is 1.974.

Multiply that by 3, obtaining 5.922.

Finally, add 15 to that result: y = 15 + 3 In 7.2 = 20.922

5 0

3 years ago

ipn [44]

Answer:

a=9

b=9

c=18

Step-by-step explanation:

c(a+b)+a+b=36

2a+2b=36

a+b=18

c=18

4 0

2 years ago

Aliza plays basketball every Tuesday and

Lemur [1.5K]

Answer:

4 days

Step-by-step explanation:

June starts on Monday

for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday

so we have 5 mondays and tuesdays

4 wed, thu, fri, sat, sun

Aliza played piano on june1 monday

So aliza played basketball on 5 tues + 4 thurs = 9 days

for calculating both basketball and paino

piano day should be on tuesday or thursday

from the below picture u can see pink dots are piano days

and yellow circles are both piano and basketball days

so on alternate weeks they are coinciding

so there are 4 days

3 0

3 years ago