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
8
3/4
x/32
Solve for x, = 24
Subtract 24 from 32
Also another way
4 x n = 32
n = 8
3x8 = 24
Subtract and same result
Answer:
A
Step-by-step explanation:
<em>it passes the vertical line test.<3</em>
Replace the f(x) in the second equation will 6x + 5 so then it looks like 2(6x + 5) + 6. Then distribute so it’s 12x + 10 + 6 and then simplify to 12x + 16
Answer:
Yes, the event are mutually exclusive...
Step-by-step explanation:
Event are mutually exclusive if those event cannot occur at the same time. That is the definition of mutually exclusive for instance in a football match, a certain team canot score 0 and 2goals in a match, it is either he scored 2goals or zero goals... In a throw of a coin we cannot have head and tail at the same time, it is either we have a head or a tail, all the event are mutually exclusive.
Now if we have a dealer selling blue car and two doors car. Let say 20% are blue and 10% have two doors. Then, this are not mutually exclusive because we can have a car that is blue and have two doors.
Mutually exclusive events are like disjoint set in SET theory, where A intersection B intersection C is equal to empty set.
Where A n B n C= {} empty set
