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emmasim [6.3K]
3 years ago
14

Can someone help me please

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

AD||BC

Step-by-step explanation:

Given:

m∠3=m∠B

And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel

Hence the lines AD and BC are parallel

AD||BC !

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Please explain I really need help
velikii [3]

Answer:

1. 1343 years

2. 9 hours

3. 39 years

Step-by-step explanation:

1. Given, half-life of carbon = 5730 years.

∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121

If N₀ = 100 then N = 85

Formula:- N = N₀*e^(-λt)

∴ 85 = 100 * e^(-0.000121t)

∴㏑(-0.85)=-0.000121t

∴ t = 1343 years

2. Given half-life of aspirin = 12 hours

λ = 0.693/12 = 0.5775

Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.

∴ 70 = 100 *e^(-0.05775t)

0.70 = e^(-0.05775t)

㏑(0.70) = -0.05775t

∴ t = 9 hours

3.  The population of the birds as as A=A₀*e^(kt)

Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.

The population is 1400 when f = 0, And it is 1000 when f = 5

We can write the following equation :

1400 = 1000e^(5t).

∴1400/1000 = e^(5k)

∴ k = ㏑(1.4)/5

We need to find x such that 1400/100 = e^(xk)

14 = e^(xk)

∴ x = 39 years

5 0
3 years ago
Tell whether the equation has one solution, infinite many solutions, or no solutions. 5w - 6w = -w + 5
vfiekz [6]

Answer:

No solution

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is :
Natasha2012 [34]
Well if they match 60% of the $8,000 then it will be $14,300 but if they match 60% of the 8,000+1,500 then it would be $15,200.
6 0
3 years ago
15. twice a number less than<br> twenty is at most ten<br> Inequality:<br> help please
frozen [14]

Answer:

20 x 4 + 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help needed asap !!!!!!
Zinaida [17]

Answer:

b)0, yes

Step-by-step explanation:

Given:

Vectors (4,8) . (6,-3)

Finding inner product of vectors:

= 4x6 + 8x-3

=24-24

=0

Now to check the angle between them using formula a.b=|a|.|b|cosθ

|a|= \sqrt{4^{2} +8^{2} } \\\sqrt{16+64}

   =8.9

|b|=\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}

   =6.7

Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,

0= 8.9(6.7)cosθ

cosθ =0

θ=90 degrees

Hence the two vectors are perpendicular !

7 0
3 years ago
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