What is the area of this trapezoid?
2 answers:
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Answer:
2640mm
Step-by-step explanation:
I'm assuming you need the area of the rectangle which the circles don't take up.
First, to find the area of the whole rectangle:
length x width
to find length:
the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm
to find width:
the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm
So, area of rectangle = 64 x 192 = 12288mm
Now to find the area the circles take up:
area of 1 circle =
=
=
As we have 3 circles, we multiply this by 3:
Finally we subtract the area of the three circles from the area of the rectangle:
As we need to round it to 3 significant figures, the answer is 2640mm
Answer:
(a) |-9| ≠ |9| is NOT TRUE.
(b) is TRUE
(c) -7 ≤ -5 is TRUE
(d) |-1| ≥ 0 is TRUE.
Step-by-step explanation:
Solving each expression separably:
(a) |-9| ≠ |9|
By the definition of <u>MODULUS FUNCTION</u>: IxI = x, if x > 0
= (-x) if x <, 0
⇒ I-9I = -(-9) = 9, and I9I = 9
So, I-9I = I9I . Hence, |-9| ≠ |9| is NOT TRUE.
(b)
⇒
and (-8) < 3.
Hence, is TRUE
(c) -7 ≤ -5
-7 < -5 on the number line of integers.
Hence, -7 ≤ -5 is TRUE
(d) |-1| ≥ 0
I(-1)I = -(-1) = 1
and 1 > 0
Hence, |-1| ≥ 0 is TRUE.