Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
Answer:
<h3>
Step-by-step explanation:</h3>
A)answer: A cross section is the two-dimensional shape that results from cutting a three-dimensional with a plane.
B)answer: A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. ... When a plane intersects a solid figure, the cross sectional face may be a point, a line segment, or a two-dimensional shape such as, but not limited to, a circle, rectangle, oval, or hexagon.
You are given a vector in the XY plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. The direction of the vector V is;
<h3>How to know the direction of a vector?</h3>
We know that the formula for 2 vectors like this in the x and y directions is; A = xi^ + yj^
Where A is the magnitude of the resultant
x is the value of the x-component
y is the value of the y-component
We are given;
Magnitude of vector = 84 units
Y-component of the vector = -67 units
Thus,

From A above, let us take the positive value of the x-component and as such our original vector will be;
A = 56.68i^ - 66j^
The direction of the vector V is;

Since it points entirely to the negative x-axis, then the angle is;
180 - (-27.15) = 207.15°
Learn more about vectors;
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Answer:
Shenika invites 7 friends and each one gets 5 cookies.
= 7*5
= 35
Based on above answer, Shenika will need a total of 35 cookies for all.
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Each box has 12 cookies.
Total cookies = 35
Let the number of boxes be x.
12*x = 35
x = 35/12
x = 2.9
This means she would need <em><u>3 boxes</u></em>.
Answer:
27 temporary employees
Step-by-step explanation:
Given information: 30 employees, 90% temporary
To find the number of temporary employees we can do 30*90%=30*0.9=27 There are 27 temporary employees