Answer:
5 divided by 20= 1/4
Step-by-step explanation:
Answer: 6
Step-by-step explanation: 2x3=6 it’s the lowest multiple
Answer:
Step-by-step explanation:
one could be a square with side length of SQRT(1092)
The other could be a rectangle or a circle or an ellispe
Answer:
1402.5 Cubic Units
Step-by-step explanation:
Volume of a Triangular Prism: V = 
b - base
h - height
l - length
15 is the height, 17 is the length, and 11 is the width (assuming which is the base).
The volume of the prism should be 1402.5 cubic units.
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
