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
Call T the price of the T-shirts and P de price of the jeans
Initially (without discount)
2T + P = 40
One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60
To solve the system of equations multiply the second equation by 2 and substract it from the first equation
2 T + 5P = 120
- (2 T + P = 40 )
________________
4P = 80
P = 80/4
P = 20
From 2T + P = 40
T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.
The price of a T-shirt is $10 and the price of a pair of jeans is $20.
Answer:
Step-by-step explanation:
0.32142857142
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The product of segment lengths is the same for the two chords.
9(21) = x(27)
x = 189/27 . . . . . divide by 27
x = 7
