Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
Answer:
48 µg of the complex should be added when a drug company is making a 6 kg batch of vitamins.
Step-by-step explanation:
Given : The concentration of Vitamin B complex in a certain vitamin mixture is 8 ppb.
To find : How many µg of the complex should be added when a drug company is making a 6 kg batch of vitamins?
Solution :
The formula used to find the mass is given by,
![\text{ppb of solute}=\frac{\text{Mass of solute}}{\text{Mass of solution}}\times 10^9](https://tex.z-dn.net/?f=%5Ctext%7Bppb%20of%20solute%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%7D%7B%5Ctext%7BMass%20of%20solution%7D%7D%5Ctimes%2010%5E9)
ppb denotes parts per billion.
We have given, concentration of vitamin B complex is 8 ppb.
Mass of solution is 6 kg =
(As
)
Substitute in the formula,
![8=\frac{\text{Mass of solute}}{6\times 10^9}\times 10^9](https://tex.z-dn.net/?f=8%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%7D%7B6%5Ctimes%2010%5E9%7D%5Ctimes%2010%5E9)
![8=\frac{\text{Mass of solute}}{6}](https://tex.z-dn.net/?f=8%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%7D%7B6%7D)
![Mass of solute=8\times 6](https://tex.z-dn.net/?f=Mass%20of%20solute%3D8%5Ctimes%206)
![Mass of solute=48\ \mu g](https://tex.z-dn.net/?f=Mass%20of%20solute%3D48%5C%20%5Cmu%20g)
Therefore, 48 µg of the complex should be added when a drug company is making a 6 kg batch of vitamins.
Answer:
176.71^2 in
Step-by-step explanation:
yeh
Answer: Option (2)
Step-by-step explanation:
The inverse of a function swaps the domain and range.