Answer:
the volume of the rectangular prism is 100 ft³
Step-by-step explanation:
Given;
area of top face of a rectangular prism, A = 20 ft²
height of the rectangular prism, h = 5 ft
Volume of the rectangular prism = Area of top face x height of the rectangular prism
Volume of the rectangular prism = A x h
Volume of the rectangular prism = 20 ft² x 5 ft
= 100 ft³
Therefore, the volume of the rectangular prism is 100 ft³
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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The scale factor is six and the dilation is an enlargement.
Step-by-step explanation:
Consider the provided information.
For the condition statement
or equivalent "If p then q"
The rule for Contrapositive is: Negative both statements and interchange them. 
Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.
Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".
It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".
Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.
Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.
Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"
The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.
Remember negative means opposite.
Contrapositive: If xy < 0 then x<0 and y<0.
Answer:
Two answers:
22 ≥ v
OR
v ≤ 22
Step-by-step explanation:
It's the same as solving for a variable in an equality. Imagine it as 17 = v - 5 for a moment. Simplify by subtracting 5 from both sides and re-add the inequality sign. This can be easily done since we are not multiplying or dividing, just adding and subtracting.