Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
Answer:
10. x = 3 ± 2√6
11. x = 4 ± √6
12. 
and 
Step-by-step explanation:
10. Given the quadratic equation (x - 3)² + 14 = 38
We have to solve it by square root.
Now, (x - 3)² + 14 = 38
⇒ (x - 3)² = 38 - 14 = 24
⇒ (x - 3)² = (2√6)²
Now, square rooting both sides we get,
(x - 3) = ± 2√6
⇒ x = 3 ± 2√6 (Answer)
11. Given the quadratic equation x² - 8x + 10 = 0
We have to solve it by completing the square.
Now, x² - 8x + 10 = 0
⇒ x² - 2(4)(x) + 4² = 4² - 10
⇒ (x - 4)² = (√6)²
Now, square rooting both sides we get,
x - 4 = ± √6
⇒ x = 4 ± √6 (Answer)
12. Given the quadratic equation 5x² + 7x - 3 = 0
We have to solve it by quadratic formula.
Hence,
and 
⇒ and (Answer)
Answer:
AB = 5.6 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 62°
Hypothenus = BC = 12 cm
Adjacent = AB =?
The lenght of side AB can be obtained by using Cos θ ratio. This is illustrated:
Cos θ = Adjacent / Hypothenus
Cos 62 = AB / 12
0.4695 = AB / 12
Cross multiply
AB = 0.4695 × 12
AB = 5.6 cm
Thus, length AB is 5.6 cm
Answer: d=70; f=45; e=65
Step-by-step explanation:
NUMBER 1 WAY
110+d=180
d=70
135+f=180
f=45
d+f+e=180
70+45+e=180
e=65
--------------------------------------------------
NUMBER 2 WAY
concept to know: exterior angle theorem
------------------------------
System of equation
d+e=135
f+e=110
d+e+f=180
------------------------
d=135-e
f=110-e
-------------------------
d+e+f=180
(135-e)+e+(110-e)=180
135-e+e+110-e=180
245-e=180
e=65
-----------------------
d=70
e=65
f=45
Answer:
a.) i dont know how to write equations
b.) 600 gallons
d.) 9 hours
Step-by-step explanation:
