# The length of a rectangle is 9 inches more than three times the width. the perimeter is 98 inches. find the length and width

QUESTION POSTED AT 05/12/2019 - 08:23 AM

QUESTION POSTED AT 05/12/2019 - 08:23 AM

Here is the equation:

Your goal is to get a number variable

2w+2(3w+9)=98

Solve the parentheses first, namely "w" by itself on one side

2w+6w+18=98

Add common values

8w+18=98

Minus 18 from both sides

8w+18-18=98-18

It is now

8w=80

Now, divide 80 by 8

80÷8=10

w=10

Lets check:

2(10)+ 2(30+9)=98

20+60+18=98

Which is correct

So that means each side of the width is 10 inches

and each length side is 39 inches

**Answer: So that means that width side is 10 inches each and each length side is 39 inches each. 10+10+39+39=98 inches**

Your goal is to get a number variable

2w+2(3w+9)=98

Solve the parentheses first, namely "w" by itself on one side

2w+6w+18=98

Add common values

8w+18=98

Minus 18 from both sides

8w+18-18=98-18

It is now

8w=80

Now, divide 80 by 8

80÷8=10

w=10

Lets check:

2(10)+ 2(30+9)=98

20+60+18=98

Which is correct

So that means each side of the width is 10 inches

and each length side is 39 inches

Area of rectangle A = l*w so area equal length time width

in case of a parallelogram A = length what is base time height what is the width corresponding of rectangle case

hope this is understandably sure easy

in case of a parallelogram A = length what is base time height what is the width corresponding of rectangle case

hope this is understandably sure easy

ANSWERED AT 18/01/2020 - 01:14 PM

QUESTION POSTED AT 18/01/2020 - 01:14 PM

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

We let

r1 = the original radius of the cylinder

r2 = the new radius of the cylinder

h1 = the original height of the cylinder

h2 = the new height of the cylinder

SA = surface are of the cylinder

the radius and the height are shrunk down to a third of their value therefore

r2 = r1/3

h2 = h1/3

SA = 2(PI)r^2 + 2(PI)rh

SA = 2(PI)[(r1^2)/9] +2(PI)(r1/3)(h1/3)

Simplifying

SA = [2(PI)r]/9 * (r1 + h1)

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

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

**Answer:**

**10 in**

**Step-by-step explanation:**

We are given that

Diameter of cactus=d=12 in

Radius of cactus=

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

**Pythagorous theorem: **

Using pythagorous theorem

**Hence, the direct distance of lizard from cactus=10 in**

ANSWERED AT 18/01/2020 - 01:11 PM

QUESTION POSTED AT 18/01/2020 - 01:11 PM

A. because pi is a irrational #

ANSWERED AT 18/01/2020 - 01:10 PM

QUESTION POSTED AT 18/01/2020 - 01:10 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

Time (weeks) 0 1 2 3 4 5 6 7 8

Weight (lb) 150 144 143 141 140 137 137 132 129

__Change in time (weeks)__ = __ 5 - 0 __ = __ 5 __ = -0.3846

Change in weight (lbs) 137 -150 -13

The average rate of change of weight with respect to time over the first five weeks of the program is -0.3846. It is a negative sign because the weight is decreasing.

Weight (lb) 150 144 143 141 140 137 137 132 129

Change in weight (lbs) 137 -150 -13

The average rate of change of weight with respect to time over the first five weeks of the program is -0.3846. It is a negative sign because the weight is decreasing.

ANSWERED AT 18/01/2020 - 01:04 PM

QUESTION POSTED AT 18/01/2020 - 01:04 PM

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

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

The answer is 300,000

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

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

32.5? that could be an accuret answer

ANSWERED AT 18/01/2020 - 12:55 PM

QUESTION POSTED AT 18/01/2020 - 12:55 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

Hello,

if the aim is to factorise:

81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....

if the aim is to factorise:

81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....

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

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

Do you have the 4th problem typed correctly? The two given numbers have no factor (other than 1) in common (i.e., they are relatively prime) so the GCF is 1.

48 = 2^4 * 3

Therefore, GCF of 16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 is 16a^2 b^4, so

16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 = (16a^2 b^4)(a^2 + 2ab - 3b^2) = (16a

48 = 2^4 * 3

Therefore, GCF of 16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 is 16a^2 b^4, so

16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 = (16a^2 b^4)(a^2 + 2ab - 3b^2) = (16a

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

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

5(-11)+6y=-37

-55+6y=-37

6y=18

y=3

-55+6y=-37

6y=18

y=3

ANSWERED AT 18/01/2020 - 12:51 PM

QUESTION POSTED AT 18/01/2020 - 12:51 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

To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,

f(x) = y = 3x/ (8 + x)

y (8 + x) = 3x

8y + xy = 3x

8y = 3x - xy

8y = x (3 - y)

8y / (3-y) = x

x = 8y / (3 -y)

Therefore,

f-(x) = f(y) = x = 8y/ (3 - y)

f(x) = y = 3x/ (8 + x)

y (8 + x) = 3x

8y + xy = 3x

8y = 3x - xy

8y = x (3 - y)

8y / (3-y) = x

x = 8y / (3 -y)

Therefore,

f-(x) = f(y) = x = 8y/ (3 - y)

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

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

#1. Let x be the number of hours spent dog walking, then the amount of money earned dog working is 12x.

#2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y.

#3.

#2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y.

#3.

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

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

Hello,

Let y the smaller

x the greater

x+2y=98 ==>x+2y=98 (1)

x=3y-22 ==> x-3y=-22 (2)

(1)-(2)==>5y=98+22==>y=120/5==>y=24

(2)==>x=3*24-22==>x=72-22==>x=50

Let y the smaller

x the greater

x+2y=98 ==>x+2y=98 (1)

x=3y-22 ==> x-3y=-22 (2)

(1)-(2)==>5y=98+22==>y=120/5==>y=24

(2)==>x=3*24-22==>x=72-22==>x=50

ANSWERED AT 18/01/2020 - 12:49 PM

QUESTION POSTED AT 18/01/2020 - 12:49 PM

Jane would double it in order to get her enlarged photograph? what is the question?

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

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

-3(4)+9y=-57

-12+9y=-57

9y=-45

y=-5

-12+9y=-57

9y=-45

y=-5

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

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

9(1)+7y=-12

9+7y=-12

7y=-12-9

7y=-21

y=-3

9+7y=-12

7y=-12-9

7y=-21

y=-3

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

**Answer: There exists 100000 possible outcomes.**

**Step-by-step explanation: **Given that a computer simulation tossed a 10-faced die 5 times.

We are to **find the number of possible outcomes that exists.**

Since there are 10 faces of the die, s**o we have 10 possible options for each of the 5 tosses.**

**Therefore, the total number of possible outcomes is**

**Thus, there exists 100000 possible outcomes.**

ANSWERED AT 18/01/2020 - 12:42 PM

QUESTION POSTED AT 18/01/2020 - 12:42 PM

Answer:x=2

Step-by-step explanation:

ANSWERED AT 18/01/2020 - 12:39 PM

QUESTION POSTED AT 18/01/2020 - 12:39 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