The first ring is $50, the second ring is 37.50 and the third ring is 25.00
The total of the rings before tax is 112.50 and $121.50 after tax
Answer:
(x+5)(x+24)
Step-by-step explanation:
Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
The area would be 83.67 cm.
A semicircle is half of a circle. The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle. The formula for circumference is:
C=πd
Using our information, we have
22.92 = 0.5(3.14)d
22.92 = 1.57d
Divide both sides by 1.57:
22.92/1.57 = 1.57d/1.57
14.6≈d
Since the diameter is 14.6, the radius is 14.6/2 = 7.3.
We use the radius for the area of the semicircle:
A=0.5πr²
=0.5(3.14)(7.3)²
=83.67
Answer:
X=34°
Y= 56°
Angle HIF are 90° when we bisectors YI 90-34
Therfore y = 56°
FGI are a triangle sum of it is 180 = 90+56
146 - 180
X= 34
