Answer:
BD = 3 units
Step-by-step explanation:
Since, AD is an angle bisector of ∠BAC,
m∠BAD = m∠CAD = 20°
CD = 3 units
In ΔACD and ΔABD,
m∠BAD = m∠CAD = 20° (Given)
AD ≅ AD [Reflexive property]
Therefore, by H-A property of congruence both the triangles will be congruent.
And by CPCTC,
CD ≅ BD = 3 units
42.87*0.15= $6.43 rounded
Answer:
To use division to find the decimal equivalent of a rational number, divide the top number by the bottom number. You will get a decimal number.
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:
The volume of the solid is π/40 cubic units.
Let's rewrite the given expression correctly:
(2y3 + 3y2 - 4y - 5) / (y + 1)
Dividing the expression between y + 1 we have:
2y2 + y - 5
We can check the result:
(2y2 + y - 5) * (y + 1)
= (2y3 + y2 - 5y + 2y2 + y - 5)
= (2y3 + 3y2 - 4y - 5)
Division OK.
Answer:
The result of the division is:
2y2 + y - 5
