Answer:
a.) 16
b.) 8
Step-by-step explanation:
a. how much lower was the 6am temperature in Nome than in Wyoming
Essentially this question is asking us to find the difference of the temperatures of Nome and Wyoming at 6am
Temperature of Nome at 6am: -31
Temperature of Wyoming at 6am: -15
Difference between two temperatures: -31 - (-15)
The two negative signs cancel out and the sign changes to +
-31 + 15 = -16
The temperature in Nome was 16 degrees lower then in Wyoming
b. At noon the temperature of Boston had risen by 14 degrees. what was the temperature of boston at noon.
All we have to do for this one is add 14 to the temperature of Boston at 6am. ( This is because the question tells us the temperature has risen 14 degrees by noon )
-6 + 14 = 8
At noon the temperature would be 8 degrees in Boston.
Answer:
1 in 5
Step-by-step explanation:
Multiples of 3 from 1 to 15:
3, 6, 9, 12, 15
Find the lowest multiple of 3.
Formula for probability:
Probability number is drawn/total
3/15
Convert it to simplest form.
1/5
I am not so sure about this, but I have seen people do this, hope I'm not wrong.
Answer:
? = 85°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum of the angles around a point = 360° , so
interior angle on right = 360° - 250° = 110°
sum the interior angles and equate to 540°
110° + 115° + 120° + 110° + ? = 540° , that is
455° + ? = 540° ( subtract 455° from both sides )
? = 85°
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
