All categories

3 years ago

Please help! For the 3 questions please

Mathematics

1 answer:

faltersainse [42]3 years ago

6 0

Answer:

Step-by-step explanation:

Triangles ADC and ACB are similar.

Therefore AC / AB = AD / AC

6 / AB = 4 / 6

4AB = 36

AB = 9 (answer).

You might be interested in

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

1 year ago

GIVING BRAINLIST!!! SHORT QUESTION PLS ANSWER

SVEN [57.7K]

Answer:

Terms:4x, -2x

Coefficients:4, 2

Constant:3

7 0

3 years ago

It took Melinda 60 minutes to run 5 miles. How many miles per minute did it take Melinda?

shusha [124]

It took her 12 minutes

3 0

4 years ago

Shane y Abha obtuvieron una medalla del equipo que requería que su equipo recolectara no menos de 2000 latas para reciclar. Abha

Usimov [2.4K]

Answer: Shane collected more than 911 cans

Step-by-step explanation:

S is the number of cans that shane collected.

A is the number of cans that Abha collected.

We know that:

together collected more than 2000 cans

A + S > 2000

Abha collected 178 more cans that Shane:

A = S + 178

Now, we can replace this equation in the inequality and get:

A + S > 2000

S + 178 + S > 2000

2*S > 2000 - 178 = 1822

S > 1822/2 = 911

This means that shane collected more than 911 cans.

6 0

4 years ago

!50 POINTS! GIVE REAL ANSWER OR I REPORT PLZ NO TROLLS! An executive drove from his home at an average speed of 35 mph to an air

bixtya [17]

Answer:

it took him 3 hours to get to work

Step-by-step explanation:

For the first part of the trip, the executive covered a distance "d" in time 't" at 35 mph, therefore we can write that the time it took to get to the helicopter was:

$t-\frac{d}{35}$

which if the distance is in miles, will render the time in hours.

We can write something similar for the second part of the trip", using the same "t" since it took the same time as for the first one, and using for distance 169.5 - d (since it is the distance to complete the total traveled distance :

$t=\frac{169.5-d}{78}$

Now we equal those two equations because the time "t" is the same, and solve for "d":

$\frac{d}{35} =\frac{169.5-d}{78} \\78\,d=35\,(169.5-d)\\78\,d=5932.5-35\,d\\(78+35)\,d=5932.5\\d=\frac{5932.5}{113} \\d=52.5$

Now, knowing the distance covered in the first trip, we can find the time of that first trip:

$t=\frac{52.5}{35} =1.5\,\,hours$

Therefore, the time it took for thye total trip is: 1.5 h + 1.5 h = 3 hours

7 0

3 years ago