Answer:
Surface area of the composite figure = 508cm²
Step-by-step explanation:
Composite figures :- A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons. These shapes include squares, rectangles, triangles, circles.
Surface area of cuboid = 2(LB + LH + BH)
There are 2 cuboids in the question therefore solving them separately,
- For bigger cuboid
L = 12cm
B = 2cm
H = 10cm
putting these values in the above formula,
SA of bigger cuboid = 2(12×2 + 12×10 + 2×10)
SA = 328cm²
- For smaller cuboid
L = 8cm
B =3cm
H = 6cm
SA = 2(8×3 + 8×6 + 3×6)
SA = 2×90
SA = 180cm²
now surface area of whole figure,
SA of bigger cuboid + SA of smaller cuboid
328cm² + 180cm²
508cm² answer
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Answer:-4
Step-by-step explanation:
Answer: Segment BD = 15
Step-by-step explanation: Ok. So, we know that segment DE is parallel to segment BC and segment EF is parallel to segment AB. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and also intersects the other two sides, the line divides the sides proportionally. To put it more simply; because segment EF is parallel to segment AB, triangles ADE and EFC are proportional and similar. From there we must find the scale factor by which these two triangles are proportional.
We can do this by dividing the corresponding segments by; each other.
24 ÷ 20 = 1.2
Scale Factor = 1.2
Then we divide segment AD (18) by the scale factor (1.2).
18 ÷ 1.2 = 15
Since segment EF is parallel to segment AB, segment EF corresponds and is congruent to segment DB.
So,
Segment BD = 15
M = 6w - 31
m + w < 11
6w - 31 + w < 11
7w - 31 < 11
7w < 11 + 31
7w < 42
w < 42/7
w < 6
oldest age warren can be is 5...but I do not see how that is possibly because if warren is 5, then marty is : 6(5) - 31= 30 - 31 = -1
unless u make warrens age 5 1/2....making warrens age 2...wait, that wont work because u need a whole number
Answer:
The solution to the inequality is:

Please also check the graph of the solution to the inequality.
Step-by-step explanation:
Given the inequality

switch sides

Multiply both sides by -1 (reverse the inequality)

Simplify

Multiply both sides by 4

Simplify

Therefore, the solution to the inequality is:

Please also check the graph of the solution to the inequality.