Answer:
V ≈ 8.67x10^7 ft^3
Step-by-step explanation:
We know that the volume of a pyramid is V= (lwh)/3
Since it is a square pyramid, it means that the length and the width are the same:
Length=755.9 feet
Width=755.9 feet
Height=455.4 feet
So, the volume is :
V = [(755.9)(755.9)(455.4)]/3
V = 86736214.158 ft^3
V ≈ 8.67x10^7 ft^3
Hope this helps!
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Answer: 16 square units
Step-by-step explanation:
let the vertex in quadrant I be (x,y)
then the vertex in quadratnt II is (-x,y)
base of the rectangle = 2x
height of the rectangle = y
Area = xy
= x(12 - x²)
= -x³ + 12x
d(area)/dx = 3x² - 12 = 0 for a maximum of area
3x² = 12
x² = 4
x = ±2
y = 12-4 = 8
So, the largest area = 2 x 8 = 16 square units
9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
- a+b > c ⇒ 3n+3 > 3n-2 . . . always true
- b+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2
- c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4
That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
9-8 1
----- = -----.
8-1 7
The answer is 1/7.
The correct answer is C) 20 cents.
I got that answer by: 1.60/8=0.20
Hope this helps! =)