5.

The perimeter of this hexagon is 52in. Each longer side measure 1 in. less than 4 times the length of a shorter side. Find the l

amm1812

Answer:

x=4.5 inches

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a hexagon is the sum of its six length sides

Let

x ----> the length of a shorter side

y ---> the length of a longer side

The perimeter of the hexagon is equal to

$P=4x+2y$

$P=52\ in$

so

$52=4x+2y$ ---->equation A

Each longer side measure 1 in. less than 4 times the length of a shorter side

so

$y=4x-1$ ----> equation B

substitute equation B in equation A

$52=4x+2(4x-1)$

Solve for x

$4x+8x=52+2\\12x=54\\x=4.5\ in$

7 0

3 years ago

P(It will rain tomorrow) = 1 - P(It will not rain tomorrow) true or false

Crazy boy [7]

The answer is TRUE

There are only two possible outcomes

- Tomorrow it rains.

- Tomorrow it does not rain.

Thus the probability of one outcome dictates the probability of the other.

For example, imagine that

P(It will rain tomorrow) = 1  (This means that you are 100% sure it will rain)

Then you can assure that

P(It will rain tomorrow) = 1 - P(It will not rain tomorrow)

P(It will not rain tomorrow) = 0

3 0

3 years ago

Help me please, Domain & Range problem

son4ous [18]

Answer:

Domain: all reals

Range: 4 ≤y <∞

Step-by-step explanation:

The domain is the possible input values(x)

From the arrows at the left and right ends on the graph, the inputs can be all reals

The range is the possible output values (y)

Y goes from 4 to infinity

4 ≤y <∞

8 0

3 years ago

Consider the following incomplete deposit ticket where "X" represents an unknown number: A deposit ticket. The amounts deposited

ELEN [110]

Considering that the amount deposited is the total deposited subtracted by the cash received, it is found that the amount that Kay deposit in cash and coins is given by:

d. $284. 50.

<h3>What is the net amount deposited?</h3>

It is given by the total deposited subtracted by the cash received.

In this problem, we have that:

The total deposited is 498 dollars and 1 cent.

The cash received was 213 dollars and 51 cents.

Hence, the deposit is of:

D = 498.01 - 213.51 = 284.5.

Hence option D is correct.

A similar problem, in which an expression is built and solved, is given at brainly.com/question/24812278

6 0

2 years ago

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as

qwelly [4]

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

$blue\ pleated = 5 * gray\ pleated$ (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

$blue\ nonpleated = 2 * gray\ nonpleated$ (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

$blue\ pleated + blue\ nonpleated = 333$ (eq3)

$gray\ pleated + gray\ nonpleated = 225$ (eq4)

If we add (eq1) and (eq2), we have:

$blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated$ (eq5)

Using (eq3) and (eq4) in (eq5), we have:

$333 = 2*225 + 3*gray\ pleated$

$gray\ pleated = 117/3 = 39$

From (eq1), we have:

$blue\ pleated = 5*39 = 195$

From (eq3), we have:

$blue\ nonpleated = 333 - 195 = 138$

3 0

3 years ago