MATHEMATICS COLLEGE

Stanley is building a rectangular fence 44feet of fencing. If the width is two less than half the length, what is the width of the fence? Write an equation and solve.

Answers

Answer 1

Answer:

Answer:

The width of the fence measures 6 feet

Step-by-step explanation:

Firstly, we assign variables.

Let the width of the fence be represented by w and the length by l

Now let’s get what the length would be. width is 2 less than half length

w = l/2 - 2

or simply l/2 = w + 2

which is same as l = 2(w + 2)

Now the perimeter of the fencing is 44. The perimeter of a rectangle can be calculated using the formula

P = 2(l + w)

Now let’s insert what we have:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 44-8

6w = 36

w = 36/6

w = 6 feet

Step-by-step explanation:

Answer 2

Answer:

the width of the fence is 6 feet. Let's denote the length of the rectangular fence as "L" and the width as "W." According to the problem, we have two pieces of information:

1. The total length of fencing available is 44 feet, which means the perimeter of the rectangle (the sum of all sides) should be 44 feet. The formula for the perimeter (P) of a rectangle is P = 2L + 2W.

2. The width is two less than half the length, which can be written as: W = (1/2)L - 2.

Now, we can set up an equation using this information and solve for the values of L and W:

First, we have the perimeter equation:

2L + 2W = 44

Now, we can substitute the expression for W from the second piece of information:

2L + 2((1/2)L - 2) = 44

Now, simplify and solve for L:

2L + (L - 4) = 44

Combine like terms:

3L - 4 = 44

Add 4 to both sides:

3L = 48

Now, divide by 3:

L = 48 / 3

L = 16

Now that we've found the length (L), we can find the width (W) using the second piece of information:

W = (1/2)L - 2

W = (1/2)(16) - 2

W = 8 - 2

W = 6

So, the width of the fence is 6 feet.

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Help me on this please (10 points)Also, this question relates with the first one so...___x 9=___

ABCD is a rectangle. Find the length of each diagonal.AC = 3(x - 5) and BD = x + 11
AC =
BD =
Please help!

Answers

Answer:

AC=BD

3(x-5)=x+11

3x-15 = x+11

2x=26

x= 13

AC= 3(13 -5)= 24

BD= 13+11 = 24

Step-by-step explanation:

9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M. a. What expression represents the change in temperature for City A? b. What integer represents the change in temperature for City A? c. What expression represents the change in temperature for City B? d. What integer represents the change in temperature for City B? e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.

Answers

a.The expression for temperature change in City A is 9 + (-8)

b.The amount the temperature changes for City A = 1°F

c.The expression for temperature change in City B is -1 + (-3) = -4°F

d.The amount the temperature changes for City B = -4°F

What is temperature?

The degree of hotness or coldness of an object is called as temperature.

Now it is given that,

In City A,

rise in temperature from 8 am to 9 am = 9°F

drop in temperature from 9 am to 10 am = 8°F

In City B,

drop in temperature from 8 am to 9 am = 1°F

drop in temperature from 9 am to 10 am = 3°F

a.The expression for temperature change in City A

rise in temperature = +9°F

drop in temperature = -8°F

∴the expression for change in temperature for City A = 9 + (-8)

b.The amount the temperature changes for City A = 9 + (-8)= 1°F

c.The expression for temperature change in City B

drop in temperature = -1°F

drop in temperature = -3°F

∴the expression for change in temperature for City A = -1 + (-3)

d.The amount the temperature changes for City B = -1 + (-3)= -4°F

Hence,the required answers are,

a.The expression for temperature change in City A is 9 + (-8)

b.The amount the temperature changes for City A = 1°F

c.The expression for temperature change in City B is -1 + (-3) = -4°F

d.The amount the temperature changes for City B = -4°F

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In ΔUVW, the measure of ∠W=90°, VW = 29 feet, and UV = 69 feet. Find the measure of ∠U to the nearest degree.

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

Three instrument panel designs are being considered. We are interested in pilot response times as a function of these panel designs. Randomly selected pilots are randomly given simulated emergency situations and response times are measured. We are concerned that pilot experience may also influence our results. Analyze the data both including and not including the covariate of experience. Does including the covariate matter in this case? Is there another covariate we should have included?

Answers

Answer:

see the analysis below

Step-by-step explanation:

Simone buys a painting for 24000 later she sells it for 60000 how much is her percentage profit

Answers

Answer:

percentage profit = 150%

Step-by-step explanation:

percentage profit = sp - cp/cp * 100

sp is the selling price = 60000

cp is the cost price = 24000

percentage profit = 60000-24000/24000 * 100

percentage profit = 36000/24000 * 100

percentage profit = 36000/240

percentage profit = 150%

Helpppppp , quick answer with work pleaseeee

Answers

Answer:

Step-by-step explanation:

$√(x-2)+8=x\n\n√(x-2)=x-8\n$

Square both sides,

$x-2=(x-8)^(2)\n\nx-2=x^(2)-2*x*8+8^(2)\n\nx-2=x^(2)-16x+64\n\nx^(2)-16x+64=x-2\n\nx^(2)-16x+64-x+2=0\n\nx^(2)-17x+66=0$

Sum = - 17

Product = 66

Factors = -6 , -11

x² - 6x -11x + (-6)*(-11) = 0

x(x - 6) -11(x - 6) = 0

(x-6) (x - 11) = 0

x -6 = 0 ; x - 11 = 0

x = 6 ; x =11

Here, x = 6 is a extraneous solution

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