Hmmm to tell if they're orthogonal(perpendicular) to each other, we can simply get their dot-product, if their dot-product is 0, then they indeed are perpendicular, let's check
well, no luck there... now, let's introspect the digits a little
notice, the second vector, -28, 16, is just a multiple of the first one, that simply means, they're
parallel.
you can always just do a b/a check and simplify both vectors, if they yield the same ratio, they're parallel, since they're just multiples of each other.
Answer:
Diana finshed playing volleyball at 8am
Step-by-step explanation:
So we know she started at 5:35 AM
And she hiked for an hour and 30 minutes
so 5:35+1 hour is 6:35
and 6:35+35 is 7:05
So before playing volley ball, the time is 7:05 am
Now volley ball was 55 minutes
so 7:05+55 is 8
So 8am
The value of y if the perimeter of the figure is 5y is 15meters.
<h3>How to find the perimeter of a polygon?</h3>
The perimeter of a polygon is the sum of the length of the whole sides.
Therefore,
perimeter = y + 2y + 30
perimeter = 5y
Hence,
5y = 3y + 30
5y - 3y = 30
2y = 30
divide both sides by 2
2y / 2 = 30 / 2
y = 15
Therefore, the value of y is 15m.
learn more on perimeter here: brainly.com/question/21727079
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Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874
Answer:
34 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between adjacent and opposite sides of a right triangle and the trig function of the associated angle. Here, the relevant relation is ...
Tan = Opposite/Adjacent
tan(10°) = (height of lifeguard)/(distance from shore)
Then the distance from shore is ...
distance from shore = (height of lifeguard)/tan(10°) ≈ (6 ft)/(0.17633)
distance from shore ≈ 34 ft