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3 years ago

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

8 0

Answer:

Given : length of FG = 4.3 ft

angle GFH = 52°

so we know cos theta = Base/ Hypotenuse

and here cos52° = x / 4.3

=> 0.61566147532 = x/4.3 [ as cos52° = 0.6156614]

=> 2.6445 = x

So the value of x = 2.6445 ~ <em>2.7</em> ft(ans)

Hope it helps

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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 $Q(5730) = 0.5Q(0)$

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

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

$e^{5730r} = 0.5$

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

$5730r = \ln{0.5}$

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

$r = -0.00012$

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

How old is the fossil?

This is t for which

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

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

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

$e^{-0.00012t} = 0.8$

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

$-0.00012t = \ln{0.8}$

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

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

Answer correct please

natita [175]

Answer:

correct

Step-by-step explanation:

4 0

3 years ago

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Novay_Z [31]

Answer:

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2 years ago

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I need help on .5 and .6

Dovator [93]

5. 44 (forty four)
6. 58

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3 years ago

Abigail has 16 shoes use repeated subtraction to show how many pairs of shoes Abigail has

erik [133]

Hello!

Here is how we solve this question.

We know that 2 shoes = 1 pair

So we subtract 2 from 16 until we reach 0, and count how many times we subtracted.

16-2=14

14-2=12

12-2=10

10-2=8

8-2=6

6-2=4

4-2=2

2-2=0

After we do repeated subtraction we find that Abigail has 8 pairs of shoes!

Hope this helps you with your question.

7 0

3 years ago