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4 years ago

3. Two mathematicians are neighbors. Each owns a separate rectangular plot of land that shares a boundary and has the

Mathematics

1 answer:

Dvinal [7]4 years ago

3 0

Answer:

shared short side: 10x +6
shared long side: 8x +6

Step-by-step explanation:

The factors of the given polynomial are (2x+1) and (x+1). We presume these are the side lengths of each rectangular plot. If the short side (x+1) was common, then the perimeter of the combined lot is ...

4(2x+1) +2(x +1) = 10x +6 . . . units of fence for short side common

If the long side (2x+1) was common, then the perimeter of the combined lot is ...

4(x+1) +2(2x+1) = 8x +6 . . . units of fence for long side common

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Which rational number represents the number of months that Callie has to pay off the bill? what does the sign on the number mean

pentagon [3]

Callie will have $104.12 less than what she earned each month.

<h3>What are Rational Numbers ?</h3>

A number which can be represented in the form p/q where q ≠ 0 are called Rational Numbers.

The complete question is

Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account.

What is the net change in her bank account balance after each monthly payment? The net change to Callie’s bank account is -$416.48.

The negative sign indicates money leaving Callie’s account. Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?

Write an expression to represent the net change to Callie’s account balance each month.

The number of months Callie has to pay the bill is for 4 months, as there are 4 equal installments

The net change in account in Callie's Account balance each month is

-$416.48 / 4 = -$104.12.

The (-) sign indicate the reduction of the net balance from her account.

Callie will have $104.12 less than what she earned each month.

To know more about Rational Number

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4 0

2 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 5 10

snow_lady [41]

Answer:

$\boxed {\boxed {\sf 8.7}}$

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

$a^2 + b^2 =c^2$

In this theorem, <em>a</em> and <em>b</em> are the legs of the triangle and <em>c</em> is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5
c= 10

Substitute the values into the formula.

$a^2 + (5)^2 = (10)^2$

Solve the exponents.

(5)²= 5*5 = 25
(10)²= 10*10= 100

$a^2 + 25=100$

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

$a^2 +25-25=100-25$