The component of the cars velocity eastward is 14 m/s
A vector is an quantity that has both magnitude and direction.
Vector resolution is the method of separating a vector into its horizontal component as well as its vertical component.
The horizontal component of a vector is the influence of the velocity on the object horizontally.
Given that the velocity (V) = 24 m/s, the angle (θ) = 90° - 35° = 55°
Therefore:
Car velocity eastward (Vₓ) = Vcos(θ) = 24 * cos(55) = 14 m/s
The component of the cars velocity eastward is 14 m/s
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Simplifying <span>4y + -70 = 12y + 2
</span>
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y
<span>Add 70 to each side of the equation.
-70 + 70 + -8y = 2 + 70
</span>
Divide each side by -8.
<span>
</span>So y = -9 is your answer.
Hope I Helped!!!
Answer:
1 : 36
Step-by-step explanation:
To obtain the scale factor, the dimensions must be in the same units.
Using the conversion
1 foot = 12 inches, then
15 feet = 15 × 12 = 180 inches, thus
scale factor = 5 : 180 ← divide both parts by 5
scale factor = 1 : 36
Substitute z with 3.
3(4)^3
Cube 4 with 3
3(64)
Multiply 3 and 64
=192
there are 4 Aces and 4 8's for a total of 8 cards
52 cards in a deck
so probability of picking an Ace or 8 = 8/52
