Answer:
50 lb
Step-by-step explanation:
Before drying, the cranberries have ...
(100% -99%)(100 lb) = 1 lb
of "meat."
After drying, that represents (100% -98%) = 2% of the total weight. Then the total weight is ...
1 lb = 2%·x
x = (1 lb)/0.02 = 50 lb
The dried cranberries will weigh 50 lb.
Answer:
You need to cross multiply 37/45+x/100 which equals 17%
Step-by-step explanation:
The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent. This would be 17%
Answer:
Step-by-step explanation:
It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.
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<h3>20.</h3>
You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.
Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are
150° and 210°
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<h3>Bonus</h3>
You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...
√2/2 + (-√2/2) = 0
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<em>Additional comments</em>
Your calculator can help you with both of these problems.
The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Answer:
y = 2x - 7
Step-by-step explanation:
The question is asking for slope-intercept form, y = mx + a.
Given:
(1, -5) and (9, 11)
Find the slope (m) between the two points:
m = (y2 - y1) / (x2 - x1)
x1 = 1
x2 = 9
y1 = -5
y2 = 11
m = ( 11 - (-5) )/(9 - 1)
= 16/8
m = 2
y = 2x + a
Use one of the two points to find a (I will use (1, -5)):
-5 = 2(1) + a
-5 = 2 + a
-7 = a
a = -7
y = 2x + (-7)
y = 2x - 7
