# The perimeter of a rectangular pool 160 meters. The length of the pool is 20 meters more than it's width. What is the length?

QUESTION POSTED AT 05/12/2019 - 02:44 PM

QUESTION POSTED AT 05/12/2019 - 02:44 PM

Width=w

Length=l

Perimeter=p

p=2w+2l

l=20+w

p=2w+20+w+20+w

p=4w+40

4w+40=160

4w=160-40=120

w=120:4=30

w=30

l=20+w

l=20+30=50

Length=l

Perimeter=p

p=2w+2l

l=20+w

p=2w+20+w+20+w

p=4w+40

4w+40=160

4w=160-40=120

w=120:4=30

w=30

l=20+w

l=20+30=50

The answer is B.

ANSWERED AT 18/01/2020 - 01:13 PM

QUESTION POSTED AT 18/01/2020 - 01:13 PM

This can be answered through simple ratio and proportion

Let x = width

y = height

x/y = x2/y2 = x3/y3

since

for 18 inches width we have 26 inches as length, therefore

18/26 = 45/y2

y2 = 65 ft

there is no need to convert the units for the smaller dimensions since we are dealing with definite ratios thus unitless.

ANSWERED AT 18/01/2020 - 01:12 PM

QUESTION POSTED AT 18/01/2020 - 01:12 PM

Percent porportion 76 over x and 20 over 100 mutply 76x100 then divide by 20 x= youre anwser

ANSWERED AT 18/01/2020 - 01:09 PM

QUESTION POSTED AT 18/01/2020 - 01:09 PM

False, just divide 20 by -4 to get correct answere.

ANSWERED AT 18/01/2020 - 01:08 PM

QUESTION POSTED AT 18/01/2020 - 01:08 PM

ANSWERED AT 18/01/2020 - 01:07 PM

QUESTION POSTED AT 18/01/2020 - 01:07 PM

**Answer: Yes, the side lengths form a pythagorean triple.**

**Step-by-step explanation: **Given that the side lengths of triangle ABC are as follows :

We are to **check whether the side lengths form a pythagorean triple or not.**

**For making a pythagorean triple, the side lengths must satisfy the following :**

**We have**

**So,**

**Thus, the side lengths will form a pythagorean triple.**

ANSWERED AT 18/01/2020 - 01:06 PM

QUESTION POSTED AT 18/01/2020 - 01:06 PM

ANSWERED AT 18/01/2020 - 12:57 PM

QUESTION POSTED AT 18/01/2020 - 12:57 PM

Y= -20x+240 there ya go bud ;)

ANSWERED AT 18/01/2020 - 12:56 PM

QUESTION POSTED AT 18/01/2020 - 12:56 PM

16x2−4x−4x+1=4x(4x−1)−1(4x−1)=(4x−1)(4x−1)=(4x−1)2
Length of each side=4x-1

ANSWERED AT 18/01/2020 - 12:54 PM

QUESTION POSTED AT 18/01/2020 - 12:54 PM

B since 4 times 2 is 8 and 4 times 5 is 20

ANSWERED AT 18/01/2020 - 12:54 PM

QUESTION POSTED AT 18/01/2020 - 12:54 PM

Its a scalene triangle if it is a triangle

ANSWERED AT 18/01/2020 - 12:53 PM

QUESTION POSTED AT 18/01/2020 - 12:53 PM

**Answer:**

Option D. (120, 80, 40)

**Step-by-step explanation:**

Let the cost of 3 baseball cards bought by Andrew are $x, $y and $z.

Now we will form the equations to find the unknown values of x, y, and z.

**Statement 1** - Andrew bought 3 baseball cards for $240

Equation will be **(x + y + z) = 240 --------(1)**

**Statement 2** - Jack offered a deal to buy the first card for the double of its original value along with the second card for $320.

Equation will be **2x + y = 320 --------(2)**

**Statement 3** - Jack offered another deal to buy first card for the double of its original value along with third card for $280

Equation formed** 2x + z = 280 ------(3)**

Now we can solve these equations to get the values of x, y and z.

**From equation 2**

y = 320 - 2x

**From equation 3**

z = 280 - 2x

Now we can replace the values of y and z in equation number 1.

Equation 1 becomes after substitution of y and z values

x + (320 - 2x) + (280 - 2x) = 240

Now we will group the similar terms

(x - 2x - 2x) + (320 + 280) = 240

-3x + 600 = 240

-3x = 240 - 600

-3x = - 360

x =

x = 120

Now we put x = 120 in the value of y

y = 320 - 2x

y = 320 - 2×120

= 320 - 240

= 80

Similarly we put the value x = 120 in value of z

z = 280 - 2x

= 280 - 2×120

= 280 - 240

= 40

So the original values of 3 baseball cards are (120, 80, 40)

**Option D**. will be the answer.

ANSWERED AT 18/01/2020 - 12:53 PM

QUESTION POSTED AT 18/01/2020 - 12:53 PM

Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a

1 rectangular play ground = 2l + 2w

total fencing material = 8a + 2l + 2w

2 square flower beds = 2 x 4a = 8a

1 rectangular play ground = 2l + 2w

total fencing material = 8a + 2l + 2w

ANSWERED AT 18/01/2020 - 12:50 PM

QUESTION POSTED AT 18/01/2020 - 12:50 PM

192=1/2 x b x 12

192=6b

b=32mm

192=6b

b=32mm

ANSWERED AT 18/01/2020 - 12:48 PM

QUESTION POSTED AT 18/01/2020 - 12:48 PM

**Answer:**

No triangles can be constructed

**Step-by-step explanation:**

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

In this problem

------> is not true

therefore

No triangles can be constructed with the given side lengths

ANSWERED AT 18/01/2020 - 12:46 PM

QUESTION POSTED AT 18/01/2020 - 12:46 PM

Answer – 19 inches

The smallest possible whole-number length of the longest side of an obtuse triangle is the next integer greater than the Pythagorean distance of the other two sides.

Given,

A = 10

B = 15

Pythagoras theorem;

C^2 = A^2 + B^2

C^2 = 15^2 + 10^2

C^2 = 225 + 100

C^2 = 325

C = 18.03

Therefore, the smallest possible whole-number length of the longest side is the next integer greater than 18.03 inches.

The smallest possible whole-number length of the longest side is 19 inches

The smallest possible whole-number length of the longest side of an obtuse triangle is the next integer greater than the Pythagorean distance of the other two sides.

Given,

A = 10

B = 15

Pythagoras theorem;

C^2 = A^2 + B^2

C^2 = 15^2 + 10^2

C^2 = 225 + 100

C^2 = 325

C = 18.03

Therefore, the smallest possible whole-number length of the longest side is the next integer greater than 18.03 inches.

The smallest possible whole-number length of the longest side is 19 inches

ANSWERED AT 18/01/2020 - 12:45 PM

QUESTION POSTED AT 18/01/2020 - 12:45 PM

The length is 112 because 16*7=112

ANSWERED AT 18/01/2020 - 12:38 PM

QUESTION POSTED AT 18/01/2020 - 12:38 PM

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.

If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:

Let's express 3 1/6 as 19/6:

Similarly, 1 1/3 = 4/3:

This can be calculated using the proportion.

If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:

Let's express 3 1/6 as 19/6:

Similarly, 1 1/3 = 4/3:

ANSWERED AT 18/01/2020 - 12:37 PM

QUESTION POSTED AT 18/01/2020 - 12:37 PM

It could be alot the easest is 20° and 20°

ANSWERED AT 18/01/2020 - 12:32 PM

QUESTION POSTED AT 18/01/2020 - 12:32 PM

Given the model:

s(t) = gt2 + v0t + s0

and the details of the system, we have:

g = -4.9

v0 = 39.2 m/s

s0 = 0

Plugging in these values to the model, we have:

s(t) = -4.9t2 + 39.2t

The second options is the answer.

s(t) = gt2 + v0t + s0

and the details of the system, we have:

g = -4.9

v0 = 39.2 m/s

s0 = 0

Plugging in these values to the model, we have:

s(t) = -4.9t2 + 39.2t

The second options is the answer.

ANSWERED AT 18/01/2020 - 12:27 PM

QUESTION POSTED AT 18/01/2020 - 12:27 PM

Well if you have a congruent lines, and you have P = 50 and xz = 15
P = xz + 2 * wz so to find wz you need to subtract xz and divide by 2
50 - 15 = 35
and then divide by 2 to get 17.5

ANSWERED AT 18/01/2020 - 12:26 PM

QUESTION POSTED AT 18/01/2020 - 12:26 PM

The answer to the problem is 299.85 m.

ANSWERED AT 18/01/2020 - 12:26 PM

QUESTION POSTED AT 18/01/2020 - 12:26 PM

If it was more details, it would be easier to solve. But I can suggest a logical way. ZB + BA = ZA. If B is the midpoint it devides line on two equal lines.

ANSWERED AT 18/01/2020 - 12:25 PM

QUESTION POSTED AT 18/01/2020 - 12:25 PM

Hello,

4x²-12x+9=(2x)²-2*(2x)*3+3²=(2x-3)²

4x²-12x+9=(2x)²-2*(2x)*3+3²=(2x-3)²

ANSWERED AT 18/01/2020 - 12:24 PM

QUESTION POSTED AT 18/01/2020 - 12:24 PM

6 feet by 10 feet would use 60 feet of fencing. that's the biggest I can think of without going over 62 feet

ANSWERED AT 18/01/2020 - 12:15 PM

QUESTION POSTED AT 18/01/2020 - 12:15 PM

Given:

62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31

16 + 15 = 16 * 15 = 240 ft²

17 + 14 = 17 * 14 = 238 ft²

18 + 13 = 18 * 13 = 234 ft²

19 + 12 = 19 * 12 = 228 ft²

20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.

62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31

16 + 15 = 16 * 15 = 240 ft²

17 + 14 = 17 * 14 = 238 ft²

18 + 13 = 18 * 13 = 234 ft²

19 + 12 = 19 * 12 = 228 ft²

20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.

ANSWERED AT 18/01/2020 - 12:15 PM

QUESTION POSTED AT 18/01/2020 - 12:15 PM

Let us assume the width of the rectangle = w

Let us assume the length of the rectangle = l

Then

l = 2w

Also

Perimeter of the rectangle = 2 (l + w)

24 = 2 (2w + w)

24 = 2 (3w)

24 = 6w

w = 24/6

= 4 inches

Now

The length of the rectangle = 2w

= 2 * 4 inches

= 8 inches

So the length of the rectangle is 8 inches and the width is 4 inches.

Let us assume the length of the rectangle = l

Then

l = 2w

Also

Perimeter of the rectangle = 2 (l + w)

24 = 2 (2w + w)

24 = 2 (3w)

24 = 6w

w = 24/6

= 4 inches

Now

The length of the rectangle = 2w

= 2 * 4 inches

= 8 inches

So the length of the rectangle is 8 inches and the width is 4 inches.

ANSWERED AT 18/01/2020 - 12:13 PM

QUESTION POSTED AT 18/01/2020 - 12:13 PM

120 different arrangements

ANSWERED AT 18/01/2020 - 12:13 PM

QUESTION POSTED AT 18/01/2020 - 12:13 PM

Given:

square shaped traffic sign. side measure of 8x - 2

A square has 4 equal sides. To find the area of a square, simply square the measure of 1 side.

Area of a square = a²

A = (8x-2)²

A = (8x-2)(8x-2)

A = 8x(8x-2) - 2(8x-2)

A = 64x² - 16x - 16x + 4

**A = 64x² - 32x + 4**

square shaped traffic sign. side measure of 8x - 2

A square has 4 equal sides. To find the area of a square, simply square the measure of 1 side.

Area of a square = a²

A = (8x-2)²

A = (8x-2)(8x-2)

A = 8x(8x-2) - 2(8x-2)

A = 64x² - 16x - 16x + 4

ANSWERED AT 18/01/2020 - 12:13 PM

QUESTION POSTED AT 18/01/2020 - 12:13 PM

**Answer:**

x = 3; the diver hits the water 3 feet away horizontally from the board

**Step-by-step explanation:**

ANSWERED AT 18/01/2020 - 12:08 PM

QUESTION POSTED AT 18/01/2020 - 12:08 PM