The length of one side of the octagon is given by:
Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
To solve this problem you must apply the proccedure shown below:
1. You have:
<span>
In(2x+3)=7
2. Then, you must apply log(e), as below:
</span><span>
In(2x+3)=ln(e^7)
3. Now, you obtain:
2x+3=e^7
4. Youy must clear the variable "x", as below:
2x=e^7-3
</span> x=(e^7-3)/2
<span>
5. Therefore, the value of "x" is:
x=546.817
</span><span>
The answer is: </span>x=546.817<span> </span>
3y = x - 6
y = 1/3x - 2.
slope her is 1/3. A perpendicular line will have anegative reciprocal slope. To find the negative reciprocal of a number, u flip the number and change the sign. So the slope we need os -3/1 or just -3.(see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = -3
(3,-5)...x = 3 and y = -5
now we sub and find b, the y int
-5 = -3(3) + b
-5 = -9 + b
-5 + 9 = b
4 = b
so ur perpendicular equation is : y = -3x + 4
8/8 hours because he can play for a longer amount of time
Try this option:
1) if V(0;0) and x= -4, then common view of the required equiation is:
(y-k)²=4p(x-h), where focus is in (h-p;k), the vertex is in (h;k), the directrix is x=h+p, p<0 and y=k is simmetry axis;
2) if the V(0;0), then h=k=0 and the required equiation is:
y²=4px;
3) if the directrix equation is x=h+p, where h=0, then p= -4 (according to the condition the directrix equation is x= -4), then the required equation is:
y²= -16x
answer: y²= -16x
