The dimensions are 9x4. 9+4 adds up to 13, which is half of 26, or half of the perimeter, and 9x4 is equal to 36.
The surface area of rectangular prism is 360 square inches
<em><u>Solution:</u></em>
Given that rectangular prism of the length is 18 cm the width 6 cm and the height 3 cm
To find: Surface area of rectangular prism
<em><u>The Surface area of rectangular prism is given by formula:</u></em>
Where,
"l" is the length and "h" is the height and "w" is the width of prism
From given,
l = 18 cm
w = 6 cm
h = 3 cm
<em><u>Substituting the values in formula,</u></em>
Thus surface area of rectangular prism is 360 square inches
Answer:
m<PQR = 80°
Step-by-step explanation:
<u>Points to remember</u>
Sum angles in a linear pair is 180
<u>To find the value of x</u>
It is given that, angle PQR and angle RQS are linear pairs, and
m< PQR =5x+5 and m<RQS =11x-65
m<PQR + m<RQS = 180
5x + 5 + 11x - 65 = 180
16x -60 = 180
16x = 180 + 60
16x = 240
x = 15
<u>To find the value of angle PQR</u>
m<PQR = 5x + 5
= 5*15 + 5
= 75 + 5 = 80
Therefore m<PQR = 80°
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
