384/6 (amount of faces) = 64
64/2 (area= l*w) = 32
32*3 (volume=l*w*h) = 96
I'm pretty sure this is correct, maybe just double check and see if this makes any sense according to what you're learning? I'm almost 100% sure. Hope this helps!
Answer:
The answer to your question is below
Step-by-step explanation:
csc²x - csc²x cos²x = 1
Process
1.- Convert the second term to sines
csc²x - cos²x/sin²x = 1
2.- Convert cos²x/sin²x to cot²x
csc²x - cot²x = 1
3.- Solve for csc²x
csc²x = 1 + cot²x
We have verified it, because there is a Pythagorean identity which sets that
csc²x = 1 + cot²x
See the picture attached to better understand the problem
we know that
<span>the formula for calculate the sum of the internal angles in a regular polygon is
</span>Sum=(n-2)*180
for n=8
sum=(8-2)*180----> 1080°
1080°----> divide by number of sides
1080/8=135°
so
in the figure
∠ BAD=135°
∠ BAC=∠ BAD/2---> 135°/2---> 67.5°
∠ BAC=67.5°
the triangle ABC is an isosceles triangle
so
∠ ABC=∠ BAC
∠ ABC=67.5°
the sum of the internal angles of the triangle is equal to 180 degrees
∠ BCA=180-(67.5+67.5)------> 45°
∠ BCA=45°
t<span>he measures of the three angles in the isosceles triangle are
</span>
∠ BAC=67.5°∠ ABC=67.5°∠ BCA=45°
Answer:
65 ft by 39 ft
Step-by-step explanation:
Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is

The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is

From the first equation,

Substitute it into the area expression:

Find the derivative:

Equate it to 0:

Then
