The sinusoidal function graph has a period of 2·π and a minimum point
with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...
Response:
- The minimum value of the function is -6
<h3>How to find the minimum value of a function?</h3>
The minimum value of a function is the lowest vertex value of the
function.
The given graph description, is the graph of the following function;
f(t) = 0.5·sin(t) - 5.5
The minimum value is given at the location where, sin(t) = -1, which gives;
f(t) = 0.5 × (-1) - 5.5 = -6
The minimum value of the function is therefore;
Learn more about the graphs of functions here:
brainly.com/question/26254100
1.) 168 inches
2.) 96 inches
Answer:
cosine of angle a = 8/17
Step-by-step explanation:
Hello there!
Remember these are the trigonometric ratios
SOC CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
And we are asked to find the Cosine of angle A
Remember cosine is adjacent over hypotenuse
Hypotenuse - The longest side
Adjacent - the side that's not the hypotenuse nor the opposite
The adjacent side length of angle A is equal to 8 and the hypotenuse is equal to 17
so the cosine of angle a = 8/17
you will be left with 12 dollars.
<u>
</u><u>Step-by-step explanation:
</u>
Given:
The actual money you have = 10 dollars.
The bet amount for each trade= 1$
For each win, you get extra +1 dollar.
Step 1:
So, you won 6 trades= (6*1)= 6$
Step 2:
For each lose, you loss -1 dollar.
Step 3:
So, you lose 4 trades= (4)*(-1)= -4$
Step 4:
After 10 trades, the money you earned is= 6$ -4$= 2 dollars.
Finally, the total money left after 10 trades is= actual money + earned money
= $10 + $2= 12 dollars.
6 bills in the deposit were $10 bills.
<u>Step-by-step explanation:</u>
The total number of bills he gave the teller = 24 bills
x + y = 24 ------------(1)
Let,
x be the number of $5 bills.
y be the number of $10 bills.
The total bank deposit made using $5 and $10 bills are $150.
<u>He deposits $5 bills and $10 bills. So, the equation can be framed as :
</u>
5x + 10y = 150 --------(2)
The question is asked for how many $10 bills were in the deposit,
Here 'y' is the number of $10 bills.
<u>To solve for y value :
</u>
The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),
5x + 5y = 120
-(<u>5x + 10y = 150</u>)
<u>-5y = -30 </u>
⇒ y = 30/5
⇒ y = 6
Therefore, there were 6 bills in the deposit that are $10 bills.
