Answer: perimeter = 96mm, Area = 564mm².
Step-by-step explanation:
From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x
Therefore,
25² = ײ + 7²
625 = x² + 49
x² = 625 - 49
x² = 576
x. = √576
= 24.
Now the perimeter
= 20 + 25 + 7 + 20 + 24
= 96mm.
Area of the figure will be
= 1/2( a + b )h
Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values
( 20 + 27) x 24
---------------------
2
= 47 x 24/2
= 47 x 12
= 564mm²
Step-by-step explanation:
7-4 =33333333333333333333
Answer:
8x+1
Step-by-step explanation:
4+2x+3(2x-1)
1) Distribute the 3 to 2x and -1:
4+2x+6x-3
2) Combine alike terms:
8x+1
If you need any more help let me know in the comments :)
if / means absolute value, then the answer is -3. The absolute value of 3 is 3, then you take the negative value of it, which is -3.
Btw, the absolute sign is ||, not //.
Let x = 1st positive integer
Let x + 1 = 2nd positive integer
As give, their sum of squares is 841
factor 2 out,
(x+21)(x-20)
This gives, x=20 and =-21 (neglect the negative value)
So, x = 20
x+1 = 21
So, the two numbers are : 20 and 21