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3 years ago

Find the measures of the angles of the ∆ABC if m∠A : m∠B:m∠C=2:3:4

Mathematics

1 answer:

dsp733 years ago

3 0

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PLEASE HELP! AS SOON AS POSSIBLE I HAVE TO BE DONE IN 10 MINS !

jolli1 [7]

Answer:

Step-by-step explanation:

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2 years ago

A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe

adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

$\frac{dC}{dt}=Ci*Qi-Co*Qo$

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

$\frac{dC}{dt}=-Co*Qo$

Rearranging the equation, it becomes

$\frac{dC}{C}=-Qo*dt$

Integrating both sides

$\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}$

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

$C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\$

The final equation for the concentration of salt at any given time is

$C=exp^{-3*t-0.693}$

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

$C=exp^{-3*t-0.693}\\(23/60)=exp^{-3*t-0.693}\\ln(23/60)=-3*t-0.693\\t=-\frac{ln(23/60)+0.693}{3}=-\frac{-0.959+0.693}{3}= -\frac{-0.266}{3}=0.088$

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2 years ago

PLEASE HELP!!! The data set shows the ages of people riding a bus.

labwork [276]

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

8 0

2 years ago

24 POINTS!!!!!!!!!!!!!!!!!!

4vir4ik [10]

The answer is the angles are neither complementary nor supplementary, because complementary is to add up to 90° and supplementary is to add up to 180°, and these angles add up to 169°. I hope this helps!

3 0

2 years ago

Read 2 more answers

Find the volume of this box of cookies with a length of 9 inches, width of 7 inches and height of 10.6 inches.

oee [108]

Answer:

667.8 cm³

Step-by-step explanation:

<u>To find the volume of a box;</u>

simply multiply the length, width, and height - and you're good to go! For this case, the box is 9x7x10.6 cm, then the volume of a box is 667.80 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy. Therefore, the volume of the box is 667.8 inches cubed

8 0

2 years ago