a circle is 360 degrees
472 - 360 = 112
so it is the same as 112 degrees
the distance from the origin is 5, so
sqrt(x²+y²)=5
x²+y²=25
substitue y=x²
y+y²=25
y²+y-25=0
solve using calculator or the formula
to get
y =( -1+sqrt(1+4*25))/2
or y = (-1-sqrt(1+4*25))/2
the second solution is rejected because a square cannot be negative
the value of x is the positive or negative (sqrt... or -sqrt...) or y
Answer:
<u>The first option is </u>
<u>The second option is:</u>
- B(0) = 1000
- B(1) = 1100
- The ratio is 1.1 and the zero term is 1000
<u>The equation for this option is:</u>
Now, which option is better?
It depends on the number of x. It is assumed the genie is offering money or similar reward.
For the values of x below 50 option A is better and option B is much better for x > 50.
See the graph in the attachment, where green line represents the option A and red line is option B.
Answer:
Area of sidewalk = 
Bags of concrete = 277
Step-by-step explanation:
The diameter of the circular fountain is 28 ft. Radius = 28 / 2 = 14 ft
The thickness of the sidewalk is 3.5 ft. This means they want to add 3.5 ft to each radius of the fountain.
To find the area of the sidewalk alone, we have to find the area of the sidewalk alone and then subtract it from the area of the sidewalk and fountain.
That is:

The fountain is circular and its radius is 14 ft. Hence, its area will be:


The sidewalk and fountain together also form a circular shape. Their joint radius will be:
R = 14 + 3.5 = 17.5 ft
Hence, the area will be:

Hence, the area of the sidewalk alone will be:

This is the area of the sidewalk.
For every square foot (
), 0.8 bag of concrete will be used. This means that for
:
Bags of concrete = 0.8 * 346.5 = 277.2 ≅ 277
At least 277 bags of concrete will be used for the new sidewalk.
Answer:
47/200
Step-by-step explanation:
to find experimental probability you have to find the number of times the desired outcome has happened the divide it by the total times the action has been performed. 19+13+15=47/200