Answer:
Step-by-step explanation:
Ok so the formula for a circle is
A=πr2
The diameter of the semicircle is 15, so if you divide that by 2 you will get a radius of 7.5. Then, the next part of the formula is to square the radius, and to do that you need to multiply the radius by itself. You will then get an answer of 56.25. And then finally, you multiply 56.25 by pi, which is 3.14 and get 176.625. Then for the quarter circle, you have 2 side lengths of 15 feet. To find the area of the quarter circle, do pi times the radius(15), and square the answer. Then, divide the answer by 4 to get the quotient, 554.6025. 176.25 + 554.6025 is 730.8525
. That rounded to the nearest 100th is 730.85.
I really hope this helped and I'm sorry if it is incorrect.
Answer:
<h2>The lengths of the bases of the trapezoid:</h2><h2>
42/h cm and 84/h cm.</h2>
Step-by-step explanation:
The formula of an area of a triangle:
<em>b</em><em> </em>- base
<em>h</em> - height
We have <em>b = 21cm, h = 6cm</em>.
Substitute:
The formula of an area of a trapezoid:
<em>b₁, b₂</em> - bases
<em>h</em><em> - </em>height
We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.
The area of a triangle and the area of a trapezoid are the same.
Therefore
<em>multiply both sides by 2</em>
<em>divide both sides by 3</em>
<em>divide both sides by h</em>
4/5 is the answer unless you need it in decimal
Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.
1600e^0.3x = 1000
Divide 600 for both sides you will get:
5/3 = e^0.3x
Multiply ( ln ) for both sides and then divide by 0.3.
(ln 5/3)/(0.3) = x
x = 1.7
So there will be 1000 flies in approximately 1.7 days
