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EastWind [94]
3 years ago
6

In the triangle shown below, what is the approximate value of x?

Mathematics
2 answers:
mamaluj [8]3 years ago
8 0

Answer:

24.25 units for a.pe.x if the triangle has the sides x,14, and 28

Step-by-step explanation:

Verdich [7]3 years ago
3 0

Answer:

the answer the answer is the answer is C

Step-by-step explanation:

21 Unity

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What is the measure of ∠H? <br>1. 115<br>2. 65<br>3. 50<br>4. 25
ddd [48]

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

3 0
2 years ago
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
A fair coin is flipped 5 times
wolverine [178]

Answer:

2/5

Step-by-step explanation:

The answer is common sense.

4 0
3 years ago
Please help ill give brainiest
vaieri [72.5K]

Answer:

give it

Step-by-step explanation:

the answer is m=1/4

8 0
3 years ago
Read 2 more answers
What is the inverse of g? <br> g(x) = 3/x+7
ikadub [295]

Given function :-

\bf \implies g(x) = \dfrac{3}{x}+7

  • To find its reverse , substitute y = g(x) .

\bf \implies y = \dfrac{3}{x}+7

  • Interchange x and y .

\bf \implies x = \dfrac{3}{y}+7

  • Solve for y .

\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7}

  • Replace y with f-¹(x) .

\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}

6 0
3 years ago
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