Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³
Answer:
The new amount paid to mechanics per after by new owner is $ 19 Answer
Step-by-step explanation:
Given as :
The amount paid to mechanics initially = $ 20 per hour
Now, The new owner paid less at the rate = 5%
Let the amount paid to the mechanics after 5 % less = x per hour
So, According to question
The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 -
)
or, The new amount paid to mechanics per hour = $ 20 × ( 1 -
)
I.e The new amount paid to mechanics per hour = $ 20 × 0.95
∴ The new amount paid to mechanics per hour = $ 19
Hence The new amount paid to mechanics per after by new owner is $ 19 Answer
IT IS 80 PLS MARK MEH BRALIEST:):):):):):):): also I did the this
Box A has 12 balls and Box B has 8 balls.
OR
Box A has 60 balls and Box B has 40 balls.
OR
Box A has 48 balls and Box B has 32 balls.
Answer:
x = 9
Step-by-step explanation:
This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). A 30-60-90 triangle is special because of the relationship of its sides. The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.
Since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:
2x = 18 or x = 9