Answer:
The total area is 300 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 24*10 = 240
Then find the area of the triangle on the top
A = 1/2 bh
The base is 24 and the height is 15-10 = 5
A = 1/2 (24)*5 = 60
Add them together
240+60 = 300
The total area is 300 ft^2
Circumference = square root (Area * 4 * PI)
circumference = square root (
<span>
<span>
<span>
452.3893421169
</span>
</span>
</span>
* 4 * PI )
<span>circumference = square root (
5,684.8921350275)
</span>circumference =
<span>
<span>
<span>
75.3982236862
</span>
</span>
</span>
9514 1404 393
Answer:
2√5
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
The longest side (x) is 2 times the length of the shortest side (√5), so ...
x = 2√5
Answer:
x = 9.5
Step-by-step explanation:
We see that the entire length of DF is equal to 34. That means segment DE and segment EF must combine to equal 34:
3x - 6 + x + 2 = 34
4x - 6 + 2 = 34
4x - 4 = 34
4x = 38
x = 9.5
Answer:
The estimated Rabbit population by the year 2036 is 32,309 rabbits
Step-by-step explanation:
In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.
An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.
Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I
Mathematically, we have the decay function as;
P = I(1-r)^t
From the question, we identify these values as;
P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years
Let's plug these values;
P = 144,000(1-0.072)^20
P = 144,000(0.928)^20
P= 32,309
