Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A =
bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A =
× 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
Answer:
894
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The proportion is equal to 
We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

Dividing both sides by 5, we have the answer as

<u>Given</u>:
Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.
The money that he has saved so far is 30% of the cost of the bike.
We need to determine the total cost of the bike.
<u>Total cost of the bike:</u>
Let x denote the total cost of the bike.
The total cost of the bike is given by

The value of 30% can be written as 
Thus, we get;

Multiplying both sides by
, we have;

Simplifying, we have;


Thus, the value of x is 500.
Hence, the total cost of the bike is $500.