The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the he
1 answer:
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Answer:
<h2>The x-coordinate after the rotation is -10.</h2>Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule
The given coordinate is . Using the rule, we have
Therefore, the x-coordinate after the rotation is -10.
Answer:
a) 70
b) 10π ft²/ft
c) 0.24 ft/sec
Step-by-step explanation:
1) y = x³ + 2x
or
=
at and x = 2
=
or
= 60 + 10 = 70
2) A = πr² ft²
or
= 2(πr)
at r = 5 ft
= 2(π × 5) ft²/ft
or
= 10π ft²/ft
3) From Pythagoras theorem
Base² + Perpendicular² = Hypotenuse²
Thus,
B² + P² = H² .............(1)
here, H = length of the ladder
P is the height of the wall
B is the distance from the wall at bottom
or
B² + P² = 25² ...........(1)
at B = 20 ft
20² + P² = 25²
or
P² = 625 - 400
or
P = √225
or
P = 15 ft
differentiating (1) with respect to time, we get
at B = 20 ft, and P = 15 ft
⇒ 2(20)(0.18) + = 0
or
= - 7.2
or
= - 0.24 ft/sec (Here negative sign depicts the ladder slides down)
The domain of the function will be [-4, 6). Then the correct option is B.
The complete question is attached below.
<h3>What are domain and range?</h3>The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
Then the domain of the function will be [-4, 6).
Then the correct option is B.
More about the domain and range link is given below.
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