Answer:
40 degrees
Step-by-step explanation:
A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.
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You may be expected to solve this using the Law of Cosines. If we name the sides ...
the law of cosines tells us the relationship is ...
c² = a² + b² -2ab·cos(θ)
Then the angle is ...
θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))
= arccos(8.0625/10.5) ≈ 39.838° ≈ 40°
This is a parabola that opens downward.
Remember that the axis of symmetry is located at x=-b/(2a).
So the vertex is at (3,-1)
So functions slope is positive or increasing on (-co, 3] and decreasing on [3,co).
Answer:
$159
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
where
y is the balance in the saving account
x is the number of years
a is the initial amount
r is the percent rate of change
we have
substitute
For x= 1 year
substitute
Answer:
Final mean value = 24.
Mean value decreased by 6 finally.
Step-by-step explanation:
Total number of restaurant initially = 4
Mean number of tables in restaurants = 30
So, total number of tables in restaurants = 4×30 = 120
Now,
He buys 2 new restaurants with 15 tables and 9 tables .
So, final number of tables = 120 + 15 + 9 = 144.
And, final number of restaurants = 4 initially + 2 newly added = 6 restaurants.
Thus , final mean value of tables in restaurants = 
= 24.
Thus , mean value decreased by 6 finally
Answer:
Answer number c (0.3 liters per hour is the average rate)
Step-by-step explanation:
