Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
Answer:
(6,5)
Step-by-step explanation:
okay so the original point is (1,4). we know 1 is our X which is the one that is going up. and 4 is our Y which is going to the right. if you are moving 5 units to the right you will add 5 to 1 (our original x) which equals 6. And going 1 unit up our original Y is 4 so we add the 1 and now we get 5. our new point is (6,5)
Answer: Choice A
A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
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Explanation:
These terms are just things you memorize. A diagram of two examples is shown below. The example shows a non-rectangular parallelogram, but you could go with rectangles or squares if you wanted to.
Answer:
<u>290</u>
Step-by-step explanation:
Formula :
<u>Number of action figures on wall = Total number of figures × % of figures on wall</u>
<u />
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Given :
⇒ Total number of action figures = 500
⇒ % of action figures on wall = 58%
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Solving :
⇒ Action figures on wall = 500 × 58%
⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)
⇒ Action figures on wall = 5 × 58
⇒ Action figures on wall = <u>290</u>
Answer:
20
Step-by-step explanation:
2 lions with 6 tigers, 4 bears and 8 monkeys
