Answer:
a.) 61 square feet
b.) $152.50
Step-by-step explanation:
first you find the area for the rectangle
LxW=A
10x4=40
then you find the area for the triangle
(bxh)1/2=a
(6x7)1/2=21
-we get 7 from adding the height that we know (3ft) and using logic, a rectangle has equal parallel lines so the dotted line has to equal 4ft. so 3ft+4ft=7ft
then you add both areas together
40 square feet+21 square feet= 61 square feet
<em>Now</em><em> </em><em>for</em><em> </em><em>B</em><em>.</em><em>)</em>
as we know, the area of the room floor is 61sq feet. so by multiplying 2.5 and 61 you get the cost as $152.50
He pays $86.70 for the carpet. 8 time 10.2 equals 81.6.
10.2 divided by 2 equals 5.1. you will use 5.1 later.
81.6 + 5.1 = 86.7
Answer:
so 1- 2 is negative 3 so minus tha by 3 than 4x2
Step-by-step explanation:
Simplifying
b2 + -4b + -14 = 0
Reorder the terms:
-14 + -4b + b2 = 0
Solving
-14 + -4b + b2 = 0
Solving for variable 'b'.
Begin completing the square.
Move the constant term to the right:
Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14
Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14
Combine like terms: 0 + 14 = 14
-4b + b2 = 14
The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.
Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4
Reorder the terms:
4 + -4b + b2 = 14 + 4
Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18
Factor a perfect square on the left side:
(b + -2)(b + -2) = 18
Calculate the square root of the right side: 4.242640687
Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687
Simplifying
b + -2 = 4.242640687
Reorder the terms:
-2 + b = 4.242640687
Solving
-2 + b = 4.242640687
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2
Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2
Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687
Subproblem 2
b + -2 = -4.242640687
Simplifying
b + -2 = -4.242640687
Reorder the terms:
-2 + b = -4.242640687
Solving
-2 + b = -4.242640687
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2
Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2
Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687
Simplifying
b = -2.242640687
Answer:
The first number should be a number between 1 and 10 (see explanation)
Step-by-step explanation:
For a number to be in scientific notation, a number between 1 and 10 has to be multiplied by a power of 10.
36.5 is not between 1 and 10, alternatively, you can rearrange it:
3.65 x 10^7 <----This would be the correct scientific notation
