We have the base measurement for the triangles composing the sides. We need their altitude.
Imagine a right triangle with these sides:
(1) from the apex of the pyramid to the point on the base directly underneath it (471 ft);
(2) from the middle of base edge to the point underneath the apex (half of 708 ft = 354 ft);
(3) the hypotenuse, the altitude of a triangular side.
Using the Pythagorean Theorem, we find the hypotenuse to be
√(471^2 + 354^2) = about 589.2 feet
Now we add up the four triangles' areas. Each is base * altitude / 2, so:
4 x 708 x 589.2 / 2
= 2 x 708 x 589.2
= 834,307.2 square feet, the lateral area.
The constant of proportionality is 1/5
Also flexing on us with that 5G
Answer:
The other number is 22.
Step-by-step explanation:
66 is the lowest common multiple of 6 and a number between 15 and 25.
The numbers between 15 and 25 include 16, 17, 18, 19, 20, 21, 22, 23 and 24.
Of all these numbers between 15 and 25, only 22 can divide 66 without a remainder.
And conveniently, the lowest common multiple of 6 and 22 is 66.
Hence, the other number is evidently 22.
Hope this Helps!!!
Answer:
0.001145
Step-by-step explanation:
Given that you are certain to get 3 jacks when selecting 51 cards from a shuffled deck.
When we draw 3 cards from 51 cards, we keep one card aside
The card can be either Jack or non Jack
Prob (the left over card to be Jack) = P(A) = 
Prob (the left over card to be non jack ) = P(B) = 
A and B are mutually exclusive and exhaustive
Let drawing 3 Jacks be the event C
P(C) = P(AC)+P(BC)

P(BC) = P(B)*P(C/B)\\
= \frac{28}{52} (4/51C3)\\
=1.034(10^{-4}
Adding we get
P(C)
= 
[- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).
<h3>What are linear equations?</h3>
- A linear equation in one variable is a mathematical expression for an equation with only one variable.
- While any two real integers can represent A and B, the ambiguous variable x has just one possible value.
- The formula is Ax + B = 0.
- 9x + 78 = 18 is an example of a linear equation with just one variable.
So, we have:
- (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
Now, calculate as follows:
- = (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
- = 3r²s+ 4rs+2-16r²s² - 7sr²- 10 + 13r²s²
- = 13r²s² - 16r²s² - 7sr² + 3r²s + 4rs - 10 + 2
- = - 3r²s² - 4sr² + 4rs - 8
Therefore, [- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).
Learn more about linear equations:
brainly.com/question/11897796
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