as far as I can make it, the vectors will be like the ones in the picture below, where the green one is the motorboat and the current is in red, and their sum will be the gray one.
since the boat is going 6 m/s in 1 second the motorboat has a magnitude of 6, and since it's due East, is just a horizontal line with an angle of 0°.
the current is due North, therefore has an angle of 90° and since the current is going 3 m/s, so in 1 second it has a magnitude of 3.
so, that will be the angle of the resultant vector, now, we know the river is 100 meters wide, so we can use cosine of θ to get the length and therefore the magnitude of the resultant vector. Keeping in mind that the angle of elevation θ is about 26.57° and that the adjacent side is 100.
Answer:
Step-by-step explanation:
The maximum is always obtained when a square is used for some part of a rectangular prism. That would mean the bottom of the box would be 9 by 9. because those dimensions would give a square. Suppose that me which I take to be the height or h = 5.
The maximum volume would be 9*9*5 = 405 cubic units.
Does D come closer?
V = l * w * h
V = 8*10*5
V = 400 cubic units which is less than 405.
It would be a great idea to narrowing it down to (2^3)^134 mod 5. now it is easier cause <span> 8 = 3 (mod 5), let's compute 3^402 (mod 5).
</span><span>3^4 = 81 = 1 (mod 5). </span>
<span>Therefore, 3^402 = (3^4)^100 * 2^2 = 1^100 * 4 = 4 (mod 5). </span>
Answer: z=45 x=45 y=90
Step-by-step explanation:
Z is linear pair to 135 so 180-135 =45
the opposite sides of X and Z are congruent therefore by ITT or CITT one of them i don’t remember which the opposite angles are congruent. lastly all angles in a triangle are 180 so 45+45 =90 180-90=90
Answer:
5m-50
Step-by-step explanation:
Let Diego current age be x,
Given that Diego’s current age is five times Martina’s age ten years ago
Martina current age = m years
10 years ago Martina's age = m-10
Hence we have
x = 5(m-10) = 5m-50
So we find that Diego's current age can be expressed in terms of m as
Deigo's current age= 5m-50
Verify:
Deigo current age = 5m-50
Hence Martina age 10 years ago = 5m-50 divided by 5 = m-10
Martina current age = m-10+10 = m
Verified.