Answer:
0.06 is 10 times as much as 0.006
Step-by-step explanation:
let the number be x
as per the condition 0.06 is 10 times as much as x.
Solve for x:
10 times as much as x represents as
Then;
......[1]
Division property of equality states that you divide the same number to both sides of an equation.
divide by 10 to both sides in equation [1];
Simplify:
x = 0.006
Therefore, 0.06 is 10 times as much as 0.006
Answer:
1) Area of frame: ; Area of picture:
; Total Area:
.
2) Area 1 = ; Area 2 =
; total area =
[first answer line :
]
Step-by-step explanation:
1. So to answer this question, you have to find the inner photo area first (which you will then subtract from the overall rectangle area to get the photo frame area).
To find area, you multiply length x width. For this question, there are not enough measurements given to initially multiply length and width. So, assuming that the photo is centered on the frame and the frame width is consistent along all sides, you find the difference between the overall length (12) and the picture length (5).
12 - 5 = 7
The leftover area (outside of the picture) is 7 cm (half of seven on both sides), so one side can be assumed to be : 3.5 cm
this means that 15 cm - 3.5 cm of both sides lengths (difference between the two lengths given) is the height of the photo, 15 - 3.5(2) = 8
So, the dimensions/measurements of the photo are 5 cm by 8 cm.
This means that the inner photo area is 40 (5 x 8) cm
The area of the frame will be the area of the total rectangle [12 x 15] - the inner photo area [40]. [ (12)(15) - 40 ]
[180 - 40] = 140 cm
(area is measured in squared units, so the area of the frame should be written as ; and the area of the photo should be written as
)
The total area is the entire area of the rectangle: (12)(15) = 180. (This should be written as )
--------------------------------------
2) Finding the area of a shape that isn't a simple rectangle is easier if you separate the shape into smaller rectangles. I will separate the two rectangles into 4 x 12 and 2 x 6 [6 cm would be the remaining side length if you remove the length of 4].
{you can separate the shape in multiple ways, so my answer is only one answer to this problem out of other splits.}
as mentioned, the area is length x width.
4 x 12 = 48.
2 x 6 = 12. Once again, you should write area in squared units.
(the area 1 should be written as ; the area 2 should be written as
)
you can combine the separated areas (add them) to find the total area. 48 + 12 = 60.
(the total area should be written in squared units also, so the total area should be written as: )
The area of the figure is
The solutions for ‘x’ are 2 and -5
<u>Step-by-step explanation:</u>
Given equation:
Since the base on both sides as ‘12’ are the same, we can write it as
Often, the value of x is easiest to solve by by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.
<u>The Quadratic Formula:</u> For , the values of x which are the solutions of the equation are given by:
Where, a = 1, b = 3 and c = -10
So, the solutions for ‘x’ are
The solutions for ‘x’ are 2 and -5
