Answer:
- temperature is decreasing as time passes
- x-axis
- hot drink temperature (°C)
Step-by-step explanation:
1. Each value of temperature is lower than the one previous, so we can say the temperature is decreasing. We also notice that the rate of decrease is getting smaller, possibly because the temperature is approaching a horizontal asymptote.
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2. The horizontal axis, where temperature is plotted, is conventionally called the x-axis.
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3. The label on the vertical axis is "temperature" and the graph title is "cooling a hot drink ...", so we presume the dependent variable is the temperature of a hot drink.
Answer:
8✓2+4✓6
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors.
An infinite number of pairs of whole numbers have a sum of 40.
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 30/48
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 30/48)
? = 51.31781255
To the nearest degree
? = 51
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 40/53
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 40/53)
? = 40.99935365
To the nearest degree
? = 41
Since this is a right triangle, we can use trig functions
tan ? = opp/adj
tan ? = 1/2
Taking the inverse tan of each side
tan ^ -1 tan ? = tan ^ -1 ( 1/2)
? = 26.56505118
To the nearest degree
? = 27
Since this is a right triangle, we can use trig functions
sin ? = opp / hyp
sin ? = 29/35
Taking the inverse sin of each side
sin ^ -1 sin ? = sin ^ -1 ( 29/35)
? = 55.95226763
To the nearest degree
? = 56
To find the area the easyiest divide it into 2 shapes that we know the area formula for: a triangle and a rectangle
the rectangle is 5 units by 7 units
A=l*w
A=5*7
A=35
the triangle is 4 units at the base and 5 units in height
A=bh/2
A=(4)(5)/2
A=20/2
A=10
To get the total area add the 2 areas together
35+10=45
Answer: Area of the yellow shape is 45 sq units