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Luda [366]
3 years ago
7

(3 points)

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

The exponential Function is 20+12h=200.

Farmer will have 200 sheep after <u>15 years</u>.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = \frac{60}{100}\times20 = 12

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years  is equal to 200.

Framing in equation form we get;

20+12h=200

The exponential Function is 20+12h=200.

Subtracting both side by 20 using subtraction property we get;

20+12h-20=200-20\\\\12h=180

Now Dividing both side by 12 using Division property we get;

\frac{12h}{12} = \frac{180}{12}\\\\h =15

Hence Farmer will have 200 sheep after <u>15 years</u>.

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In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.
Sphinxa [80]

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

3 0
3 years ago
What equation represents the model shown below?
g100num [7]

Given:

The algebra tiles of an equation.

To find:

The equation represented by the given model.

Solution:

On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,

LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)

LHS=-4x+(-3)

LHS=-4x-3

On the right side of the model we have 8 tiles of (-1). So,

RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)

RHS=-8

Now, equate the LHS and RHS to get the equation.

-4x-3=-8

Therefore, the equation for the given model is -4x-3=-8.

7 0
3 years ago
Explain the difference between prime and composite numbers
Fed [463]
Prime only has two factors one and its self a composite number has more factor than one and its self
exsample:     12 -  1,2,3,4,6,12  = 12 is a composite number
                       7  -  1,7                 =prime number 
4 0
3 years ago
How to do the problem
trapecia [35]

Step-by-step explanation:

g(0.5) = 2 \\  \\ h(x) = g(x).f(x) \\  \therefore \: h(2) = g(2).f(2) \\  \therefore \: h(2) = 5 \times 2\\ \therefore \: h(2) = 10\\  \\ \\  j(x) = g(x) - f(x) \\  \therefore \: j(4) = g(4) - f(4) \\  \therefore \: j(4) = 9 - 8\\ \therefore \: j(4)  = 1\\  \\  \\

4 0
3 years ago
AC is tangent to circle O at A. The Diagram is not to scale.
statuscvo [17]

Answer:

  • B. 64°

Step-by-step explanation:

<u>Given:</u>

  • mBY = 52°

<u>Inscribed angle measure is half the intercepted arc:</u>

  • m∠BAY = 1/2(52°) = 26°

<u>The angle between the diameter and tangent is right angle:</u>

  • m∠BAC = 90°

<u>According to angle addition postulate:</u>

  • m∠YAC = m∠BAC - m∠BAY
  • m∠YAC = 90° - 26° = 64°

Correct choice is B

7 0
2 years ago
Read 2 more answers
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