Answer:
Total surface area = 184.86 cm²
Step-by-step explanation:
If we see the the diagram, we can find that the net of this triangular prism includes:
2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm
3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm
Surface area of triangle with a,b and c side:
s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)
Area = 11.18cm²
For 2 triangle:
Area = 22.36cm²
Surface Area of Rectangles:
Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm
Area = 162.5 cm²
Total surface area = area of 2 triangle + area of 3 rectangles:
Total surface area = 22.36 + 162.5
Total surface area = 184.86 cm²
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
Answer:
B 10x+5
Step-by-step explanation:
:)
Answer:
The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it's a parallelogram (converse of a property). If the diagonals of a quadrilateral bisect each other, then it's a parallelogram (converse of a property).
Step-by-step explanation:
1.
5514 divided by 82 you have to find out how many times 82 goes into 551 (because it won't go into 5 or 55 now 82 goes into 551 6 times and you multiply 82 and 6 to get 492 (which is the closest you can get to 551 without going over) now you subtract 551-492 to get 59 now you carry down your 4 and add it to the end of the equation and your number changes into 594 now 82 times 7 is 574 when you subtract you get 20 now you add a decimal point and you carry down the 0 to make your number 200 now you do 82 times 2 to get 164 when you subtract you get 36 now you carry down the 0 and get 360 so you multiply 82 by 4 to get 328 so your answer is 67.24.Hope this helps. I can add a picture if you need one.
