Answer:
Cos B = 4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine B = 3/5
Cos B =?
Recall:
Sine B = Opposite / Hypothenus
Sine B = 3/5
Therefore,
Opposite = 3
Hypothenus = 5
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = 3
Hypothenus = 5
Adjacent =?
Hypo² = Adj² + Opp²
5² = Adj² + 3²
25 = Adj² + 9
Collect like terms
Adj² = 25 – 9
Adj² = 16
Take the square root of both side
Adj = √16
Adjacent = 4
Finally, we shall determine Cos B. This can be obtained as follow:
Hypothenus = 5
Adjacent = 4
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 4/5
It takes 1.5 hours for 4 workers to paint the same room
<em><u>Solution:</u></em>
Given that 3 workers can paint a room in 2 hours
To find: Time taken for 4 workers to paint the same room
Assume the time needed to paint the room is inversely proportional to the number of worker
Where, "k" is the constant of proportionality
<em><u>3 workers can paint a room in 2 hours</u></em>
Substitute number of workers = 3 and time = 2 hours
Therefore,
To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression
Thus it takes 1.5 hours for 4 workers to paint the same room
Ok so we can see for every 2 cups of medium coffee, the balance goes down 5.30$. So that means that for every coffee, her balance goes down 2.65$. Solving for the x-intercept means how many medium coffees can I get until my balance is 0. First, we have to find the y-int so it's easy. The slope is -2.65 because for every medium coffee, her balance goes down 2.65$. So we have y=-2.65x+b. Plugging in any point, I choose (4,14.40), we get 14.4 = -2.65 × 4 +b. Solving for b we get 25 for the y intercept, meaning the equation is y = -2.65x + 25 . To find the x intercept, we set y=0. So we have 0 = -2.65x+25. Solving for x we get approx. 9.4. We can't have decimals so we round down to 9. So the x int is ≈ 9.4 meaning we can only buy 9 coffee and have a little extra. But, if the problem said how many more coffees can she get, then here is how we do it. Since she already got 4 coffees, and the max is 9, we do 9-4 and we get 5, so she can buy 5 coffeed more.
Answer:
Step-by-step explanation: An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible after 16 years, A.$2115 B. $1017 C.$856 D.933
Answer:
D
Step-by-step explanation:
In the graph, there are only two values for a graph. In this case, those two values are crackers and calories.
