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3 years ago

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What is the area of the triangle? 10 26 units 2 Help please

1 answer:

elena-14-01-66 [18.8K]3 years ago

7 0

Answer:

130

Step-by-step explanation:

area of a triangle is (1÷2) × base × height

so we will have (1÷2 ) × 10 × 26

area is 130

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

NEED HELP ASAP! PLEASE SHOW WORK! <br><br><br><br><br><br> RANDOM ANSWERS WILL BE MODERATED! THANKS

jeka94

2(2.2)(3.0) + 2(2.2)(7.5) + 2(7.5)(3.0)
13.2 33 45
Theres the work the answer is (4) 91.2

3 0

3 years ago

The equation sin(40o) =b/20 can be used to determine the length of line segment AC. What is the length of AC? Round to the neare

boyakko [2]

For this case we have the following equation:
sin (40o) = b / 20
Clearing b we have:
20 * sin (40o) = b
Therefore, the length of the AC segment is given by:
b = 12.9
Answer:
the length of AC is:
b = 12.9

7 0

3 years ago

Kaitlen has 13 marbles. She gave 5 to Elissa. How many

AVprozaik [17]

Answer:

8

Step-by-step explanation:

13 - 5 = 8

7 0

3 years ago

Read 2 more answers

I need help right away!!!

Reptile [31]

Y=6 when x=18, find y when x=-12

so 6/18 = y/-12
cross multiplication
(6)(-12) = (18)(y)
-72 = 18y
divide both sides by 18
-4 = y

Hope this helps
XD

4 0

3 years ago