Subtract. (5r2+5r+9)

The length of a rectangle is (x+3) inches long,and the width is 3⅖ inches.If the area is 15 3/10 square inches,write an equation

tino4ka555 [31]

Answer:

(x + 3) = 9/2

Step-by-step explanation:

Here, we want to write an equation to find the length of the rectangle

Mathematically;

Area of rectangle = length * breadth

15 3/10 = (x + 3) * 3 2/5

(x + 3) = 15 3/10 divided by 3 2/5

(x + 3) = 153/10 * 5/17

(x + 3) = 9/2

8 0

3 years ago

Suppose a South Korean inspirational speaker speaks from a rectangular stage measuring 30 feet by 70 feet. Find the area of the

OleMash [197]

The area of a rectangle is calculated my multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 70 feet while the width (shorter side) is 30 feet. Hence the area is 2,100 ft2.

4 0

3 years ago

A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the le

Jlenok [28]

Answer:

$l=238\ yards$

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

$l=9w-14$

Where

$w=width\ of\ triangle$

Generally the equation for Area of Rectangle is mathematically given by

$A=(9w-14)w$

$A=9w^2-14w$

$6183=9w^2-14w$

$9w^2-14w-6183=0$

$w=28$

Therefore

$l=9(28)-14$

$l=238\ yards$

4 0

3 years ago

Circle O has a circumference of 88π cm.

Lena [83]

Answer

44

Step-by-step explanation:

R = C/(2*Pi).

So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.

8 0

3 years ago

Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15

tatuchka [14]

Answer:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

a column for the values of x in each equation
a column for the values of y in each equation
a column for the independent values of each equation

since our system of equations is:

$3x-5y=12\\ 4x-2y=15$

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

$\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]$

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

$\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]$

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

$\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]$

usually there is a line separating the columns for the values of x and y, and the independent values:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

this is the matrix of the system of equations

6 0

3 years ago

Subtract. (5r2+5r+9)–(3r+2)