Please I need help now! This is due today! Look at the pic below.

Find the missing angle in the triangle,<br> x°<br> 36°<br> 111°

andriy [413]

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

7 0

3 years ago

Enter the range of values for x:

kap26 [50]

12x because you multiply it

3 0

3 years ago

5. A tank initially contains 20 lb of salt dissolved in 200-gallon of water. Starting at time t = 0, a solution containing 0.5 l

sladkih [1.3K]

Answer:

(a) Amount of salt as a function of time

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.

(c) The amount of salt when t approaches to +inf is 100 lb.

Step-by-step explanation:

The rate of change of the amount of salt can be written as

$\frac{dA}{dt} =rate\,in\,-\,rate\,out\\\\\frac{dA}{dt}=C_i*q_i-C_o*q_o=C_i*q_i-\frac{A(t)}{V}*q_o\\\\\frac{dA}{dt}=0.5*4-\frac{A(t)}{200}*4\\\\\frac{dA}{dt} =\frac{100-A(t)}{50}=-(\frac{A(t)-100}{50})$

Then we can rearrange and integrate

$\frac{dA}{dt}= -(\frac{A(t)-100}{50})\\\\\int \frac{dA}{A-100}=-\frac{1}{50} \int dt\\\\ln(A-100)=-\frac{t}{50}+C_0\\\\ A-100=Ce^{-0.02*t}\\\\\\A(0)=20 \rightarrow 20-100=Ce^0=C\\C=-80\\\\A=100-80e^{-0.02t}$

Then we have the model of A(t) like

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt reaches 50 lb is

$A(t)=100-80e^{-0.02t}=50\\\\e^{-0.02t}=(50-100)/(-80)=0.625\\\\-0.02*t=ln(0.625)=-0.47\\\\t=(-0.47)/(-0.02)=23.5$

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.

7 0

3 years ago

PLEASE HELP ME WITH THANKS :)

Maurinko [17]

Answer

12855.04 ft³

Step-by-step explanation:

regular Octagon consists of 8 congruent triangles

B = (13.28 x 11) / 2 x 8=584.32

V = BH = 584.32 x 22 = 12855.04

8 0

3 years ago

Read 2 more answers

Slope of a = (3,-2) b = ( 7, 3 )

natali 33 [55]

Answer:

Down here VVVVVVVV

Step-by-step explanation:

The formula for slope is rise/run there a whole lot of variations of it tho see

(Srry abt my hand writing XD)

rise is basically how far away are the 2 y values from each other

(It will always be positive btw mate.

In this case the rise would be 5

because you need to move up 5 spaces to reach 3 from -2

Now the run which is how far away the 2 x values are from each other.

In this case it would be 4

because you need to move 4 spaces from 3 to reach 7

so it would the slope would be 5/4 :)

This may not be right but you can get the just of how to do it hopefully

Im learning this right now too XD

8 0

3 years ago