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ICE Princess25 [194]
2 years ago
10

Three copies of this rectangle were connected along a side to make a larger rectangle. What could the perimeter of the new recta

ngle be? Consider all possibilities.

Mathematics
1 answer:
cupoosta [38]2 years ago
5 0

Answer:

388in or 202in

Step-by-step explanation:

I decided to connect three copies of this rectangle, all along the right side of the rectangle in the picture above.

When this is done the new length along the bottom and top become 45×4=180.

Now to find the perimeter, 180+180+14+14=388in

Other possibility

Connect the three copies along the top.

Now we need to do 14×4=56, which is the new side length.

Now to find the perimeter, 56+56+45+45=202in

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To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.
yawa3891 [41]

Answer:

To make f continuous at x=2, f(2) should be defined x = 2.

Step-by-step explanation:

A function, let say f(x), is defined at x = c is continuous at x = c

If the limit of f(x) as x approaches c is equal to the value of f(x) at  x = c.

Mathematically it is written as:

if

\lim _{x\to c}\:f\left(x\right)=f\left(c\right)

then

f(x) is continuous at  x = c.

So from the above definition, we conclude that:

To make f continuous at x=2, f(2) should be defined x = 2.

i.e.

if

\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)

then

f(x) is continuous at  x = 2.

8 0
1 year ago
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality  (20 + 0.5x) + 0.15(20 + 0.5x)   ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x:  39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0
2 years ago
The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the  length of the Idita rod Trail Invitational ultra-marathon in meters

we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0
2 years ago
Perform the following computations. retail price of steel-belted radial tire = $89.50 discount offered = 10% federal tax = 12% l
RUDIKE [14]
For the answer to the question above
Retail price of steel-belted radial tire = $89.50 
Discount offered = 10% = $8.95 
Value before federal tax = $89.50 - $8.95 = $80.55 
Federal tax = 12%=$80.55(0.12) =$9.67 
Local sales tax = 5% =$80.55(0.05)=$4.03 

Selling price = $80.55 +$9.67+$4.03 =$94.25
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
4 0
2 years ago
Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep
Viktor [21]

<u>Answer:</u>

Consistent and dependent

<u>Step-by-step explanation:</u>

We are given the following equation:

1. 3x+6y-12z=36

2. x+2y-4z=12

3. 4x+8y-16z=48

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with x+2y-4z=12 which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

6 0
1 year ago
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