Answer:
250 - 20 < 80 + 15x
Step-by-step explanation:
Given that
Beth has 250 books and 20 books sold each week
While on the other hand, Martin has 80 books and sell 15 books each week
Let us assume each week be x
Now the equations are
Beth 250 - 20x
Martin 80 + 15 x
Now the inequality would be
250 - 20 < 80 + 15x
<span>What is the arc length when Θ=3 pi/5 and the radius is 7 cm?
</span><span>Here are the available answers...
21pi/5 cm
12pi/5 cm
6pi/5 cm
3pi/35 cm
</span>
Given:
arc length = theta * radius
arc length = (3 pi/5)(7cm)
arc length = 21pi/5 cm Answer is the 1st option.
The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
<em />
Learn more on area of composite figures here: brainly.com/question/15981553
Answer:
A
Step-by-step explanation:
The triangles are not similar because the smallest sides are 6/10 = 3/5, the medium sides are 8/24 = 1/3, and the longest sides are 10/26 = 5/13 and similar triangles must have the same ratio for all three sides.