Answer: The derivative of the function 
is 
.
Step-by-step explanation:
We know that the derivative of 
with respect to x is given by :
(1)
The given function is
Differential both sides with respect to x , we get
( Using (1))
Therefore , the derivative of the function is .
Answer: 70.5°
Solution:
Call B, the measure of the angle CBA
cos(B) = adjacent-leg / hypotenuse = 3 / 9 = 1 / 3
=> B = arc cos (1/3) ≈ 70.5°
I will calculate other measures for you, trying to cover the most common ratios: sine, cosine, tangent
1) (segment CA)^2 + (segment BC)^2 = (hypotenuse)^2
=> (segment CA )^2 = (hypotenuse)^2 - (segment BC)^2 = 9^2 - 3^2 = 81 - 9 = 72
=> segment CA = √72 = 6√2
2) sin(B) = opposite-leg / hypotenuse = 6√2 / 9 =2√2 / 3
3) sin(A) = cos(B) = 1/3
4) cos(A) = sin(B) = 2√2 / 3
5) tan(B) = opposite-leg / adjacent-leg = (2√2 / 3 ) / 3 = 2√2 / 9
6) tang(A) = 3 / (2√2 /3) = 9 /( 2√2) = 9√2 / 4
I guess the only way to use subtraction is to take the total area of the grid and subtract it by the total area around the figure. So it since it is a 10 by 10 grid, it would be 100 (since 10*10=100) minus the area around the shape.
Answer:
<h2>The answer is 314.96 g</h2>
Step-by-step explanation:
The mass of a substance when given the density and volume can be found by using the formula
<h3>mass = Density × volume</h3>
From the question
volume of liquid = 254 mL
Density = 1.24 g/cm³
The mass is
mass = 254 × 1.24
We have the final answer as
<h3>314.96 g</h3>
Hope this helps you
Answer:
<h2><u><em>
the circumference of a circle is defined as:</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
c = pi*diameter</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
if we have x segments of length y, then we can fit:</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
c/y = z</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
we can fit z segments of size y on the circumference c</em></u></h2><h2><u><em>
</em></u></h2>
<u><em></em></u>
