X=270 units
270 units can be manufactured per month
Answer:
1. y = 14.718
2. ??
3. y = 39.794°
Step-by-step explanation:
<em>HINT the side we already know and the side we are trying to find, we use the first letters of their names and the phrase "SOHCAHTOA" to decide which function:
</em>
SOH...
Sine: sin(θ) = Opposite / Hypotenuse
...CAH...
Cosine: cos(θ) = Adjacent / Hypotenuse
...TOA
Tangent: tan(θ) = Opposite / Adjacent
1. Sine: sin(θ) = Opposite / Hypotenuse
sin(42°) = y / 22
so on your calculator enter 42 then sin = 0.669
0.669 = y/22 multiply both sides by 22 to get y
y = 14.718
2. is there any other information??
3. The two sides we know are Opposite 40 and Adjacent 48.
SOHCAHTOA tells us we must use Tangent.
Calculate Opposite/Adjacent = 40/48 = 0.833
Find the angle from your calculator using tan-1
Tan y° = opposite/adjacent = 40/48 = 0.833
tan-1 of 0.833 = 39.794°
For the first 3 you just have to divide (forget about the square root for now) and then reduce its result by finding two numbers (one of them have to be able to be squared rotted) that multiplied gives the fist result. Then you just have to square root one of the numbers and leave the other one as it is.
For the last 4; you cannot have radicals in the denominator, so you have to multiply both top and bottom by the square root, after that you just reduce.
Hope you understand, if you have any questions please let me know.
Answer:
3⅘ lb
Step-by-step explanation:
(a) <em>Amount eaten</em>
Eaten = 10⅖ + 10⅘
Think of pounds as pies. Each pie has 5 slices.
10⅖ pies = 10 pies + 2 slices = 50 slices + 2 slices = 52 slices
10⅘ pies = 10 pies + 2 slices = 50 slices + 4 slices = 54 slices
Eaten = 52 slices + 54 slices = 106 slices
(b) <em>Amount remaining</em>
Remaining = Original – Eaten
Original = 25 pies = 125 slices
Eaten = 106 slices
Remaining = 125 slices -106 slices
Remaining = 19 slices Convert slices to pies
Remaining = 15 slices + 4 slices
Remaining = 3 pies + 4 slices Convert to mixed fraction
Remaining = 3⅘ pies Convert pies to pounds
Remaining dog food = 3⅘ lb
