Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
<u />
<u>Geometric sequence</u>
General form of a geometric sequence: 
(where a is the first term and r is the common ratio)
Given:
Therefore:
<u>Sum of the first n terms of a geometric series</u>:
To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:
Base on the question where as asking to calculate the equation of the tangent line to the curve at the given point and base on the given data and in my further computation about the said given, I would say <span>y = 2√(3)x + 2 - (2pi√(3))/3. I hope you are satisfied with my answer and feel free to ask for more </span>
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:
- T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.
2. So, you have:
x=2y-4 (i)
x=48 (ii)
3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
x=2y-4
<span> 48=2y-4
4. Now, you must clear "y, as below:
48+4=2y
2y=52
y=52/2
y=26
</span><span>
How many alternative schools are in the county?
</span><span>
The answer is: There are 26 alternative schools.</span>
Step-by-step explanation:
Let x represent the missing sides measurement.
x+x+28=52
combine like terms
2x + 28 = 52
subtract 28 from both sides
2x + 28 = 52
- 28 - 28
2x = 24
divide both sides by 2
x = 12
plug it back in
one leg is 12 inches
the other leg is 40 inches
