Y - 2x=4 3x -5y =15 ddddddddddd
1 answer:
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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
Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 12 and
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
Area of a triangle:
A= (1/2)(bh)
In this problem we are given:
A= 178.5
b= h+4 in
h= UNKNOWN ("h")
Plug in our values into the area equation and solve for "h":
(multiply each side by 2 to get rid of the 1/2)
(357/21=17)
(solve both inequalities separately)
( a negative height is not possible so, this answer is incorrect.)
Answer: base = (h+4)= (17+ 4) b= 21 in h= 17in
Please comment with any further questions! :)
A= (1/2)(bh)
In this problem we are given:
A= 178.5
b= h+4 in
h= UNKNOWN ("h")
Plug in our values into the area equation and solve for "h":
(357/21=17)
Answer: base = (h+4)= (17+ 4) b= 21 in h= 17in
Please comment with any further questions! :)