Miss Kito is building a rectangular pen for her lea.She will use the side of her house for one wall of the pen;therefore she will not need any fencing on that side.On the other three sides, she will use special fencing that costs $12 per foot . She wants the entire enclosed area to be 2400 square feet. Lastly,she needs four corner that costs $5 each ?

Let x represent the length of each side of the pen perpendicular to the house and let y represent the length of the side of the pen parallel to the house.Write a function c(x) for the cost of the materials for the llama pen in terms of x. Simplify

Please explain and thank you

Answer:

40

Step-by-step explanation:

Use this picture as a reference.

So, using remote angles theorem, which states that; the angle formed from the extension of a side in a triangle is equal to the sum of the two angles which it does not make contact with, within the triangle. One can conclude that :

m< BCD = m<B + m<A

substitute:

m<BCD = 80 + 25

Simplify:

m<BCD = 105

Since it is given that m< BCE is 50, then  one has to subtract m<BCE from m<BCD to get m<ECD

m<BCD - m<BCE = m<ECD

Subsitute:

105 - 50 = m<ECD

Simplify:

55 = m<ECD

Using the sum of angles in a triangle, which states that the sum of all the angles in a triangle is 180 degrees, one can say that:

m<D + m<ECD + m<E = 180

Substitute:

85 + 55 + m<E = 180

Simplify, inverse operations:

140 + m<E = 180

-40               -140

m<E = 40

Answer:

1) x = 1  ,  y = 2

2) x=3, y=-2

3) x=3, y=-4

4) x=0, y=-3

Step-by-step explanation:

I hope this helped! please mark as brailiest

Answer:

y=1/3x-2

Step-by-step explanation:

Answer:

It is 5....

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Answer:

3,960 feet per minute, brainliest pls

Step-by-step explanation:

Answer:

3960 feet per minute

Step-by-step explanation:

1 mile = 5280 feet

Therefore,

180 miles = 180*5280

180 miles = 950400 feet

1 hour = 60 minutes

So, 4 hours = 240 minutes

Speed if the car

= 950400/240

= 3960 feet per minute

Answer:

Only line A is a well-placed line of best fit.

Step-by-step explanation:

I did this on Plato and got it correct.

Answer:

Step-by-step explanation:

==================

Let the parts be x, y and z

As per given we get below system of equations:

Substitute 0.1x + 0.2y in the second equation:

Now we have:

and

Multiply the second equation and then subtract the first one:

Then

So the parts are:

Answer:

false

Step-by-step explanation:

Answer:

75 hamburgers per minute

Step-by-step explanation:

We’ll it’s 4500 per hour, or every 60 minutes, to find 1 min, you can divide by 60.

4500/60 = 75

Answer:  

Step-by-step explanation:  To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.

For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.

The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.

The reciprocal of any number or fraction is whatever you multiply it by to get 1.  4 times 1/4 is  1  5/4 times 4/5 is 1.  What about 1 ?  1 times 1 is 1. So one is its own reciprocal!

I hope this helps. (we're not supposed to give answers to t e s t s.)

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Answer:

-2

Step-by-step explanation:

Answer:

Square root of 81 is 9

9 multiply with 4 is 36

Permiter is 36cm.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

5 hours; 4x+10=32

Step-by-step explanation:

4x = 4 multiplied by the amount of hours

10 = the cost for the lock

so y = 4x+10

In this case y= 32 so plug it in

4x+10=32

    -10  -10

4x=22

/4   /4

x=5.5

So assuming you can only rent whole hours, it would be 5 hours

Hope this helps.

Answer:

he can rent the bike for 5 hours

Step-by-step explanation:

32-10=22

22*4=5

Answer:

41.6

Step-by-step explanation:

32 x 0.3 = 9.6

9.6 + 32 = 41.6

41.6

i had the same question

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

[tex]A=A_0b^{\frac{t}{c}}[/tex]

Where [tex]A[/tex] is the final population

[tex]A_0[/tex] is the initial population

[tex]b[/tex] is the growth factor

[tex]c[/tex] is the time taken for the growth 'b'

[tex]t[/tex] is the amount of time

Here, we are given that:

[tex]A[/tex] = 6. 9 grams

[tex]A_0[/tex] = 110.4 grams

[tex]b = \dfrac{1}{2}[/tex]

[tex]c = 2.347[/tex] min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].

Putting the values in the formula, we get:

[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]

Therefore, the answer is:

4 half lives have passed.

b.) Total time of decay. We have to find the value of [tex]t[/tex] here.

From answer of part a.):

[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]

Answer:

f(x) = 7x-10

Step-by-step explanation:

Complete question;

Write and algebraic expression for 10 less than the product of seven and a number.

Let the number be x;

The product of seven and the number is expressed as;

= 7 * x

= 7x

If 10 is less than the product of seven and a number then the expression becomes

7x - 10

The required algebraic expression is f(x) = 7x-10

Answer:

y = 3/2 ⋅  4^x

Step-by-step explanation:

I hope this helped! please mark as brainliest

Answer:

-2x+10

Step-by-step explanation:

f(x)=5x+8

g(x)=7x-2

(f-g)(x)= 5x+8-7x+2= -2x+10

Answer:

-4w^3

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The answer of this problem would be 5.5, so you are missing the 0.5

Answer :

1/2

Explanation :

Completed the assignment on Edge.

===================================================

Work Shown:

For any triangle, the three interior angles always add to 180

(4x-12) + (6x-17) + (2x+5) = 180

(4x+6x+2x) + (-12-17+5) = 180

12x - 24 = 180

12x = 180+24 ..... adding 24 to both sides

12x = 204

x = 204/12 ..... dividing both sides by 12

x = 17

We can use this x value to find the three angles

4x-12 = 4*17-12 = 56

6x-17 = 6*17-17 = 85

2x+5 = 2*17+5 = 39

As a check,

56+85+39 = 180

which confirms we have the right x value.

We see that 56 is the middle angle, so this is the second largest angle.

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

Answer:

b

Step-by-step explanation: