Answer:
A. Would be your answer
Step-by-step explanation:
7 plus a number n is 7+n, so B and D are already incorrect.
The phrase “and then multiply” suggests parenthesis be around the numbers/variables you would need to do first, so that excludes C.
Making A. your only answer left
Hope I helped!
Answer:
- slant height: 6 units
- lateral area: 108 square units
Step-by-step explanation:
<u>Given</u>
A right regular hexagonal pyramid with ...
- base side length 6 units
- base apothem 3√3 units
- height 3 units
<u>Find</u>
- lateral face slant height
- pyramid lateral surface area
<u>Solution</u>
a) The apothem (a) and height (b) of the pyramid are two legs of the right triangle having the slant height as its hypotenuse (c). The Pythagorean theorem tells us the relationship is ...
c = √(a² +b²) = √((3√3)² +3²) = √(27+9) = √36
c = 6
The slant height of the pyramid is 6 units.
__
b) The lateral surface area of the pyramid is the area of each triangular face, multiplied by the number of faces. The area of one face will be ...
A = (1/2)bh = (1/2)(6 units)(6 units) = 18 units²
Then the lateral surface area is 6 times this value:
SA = 6(18 units²) = 108 units²
The lateral surface area of the pyramid is 108 square units.
Answer:
Suppose the fraction of blue balls at any given state n is
. At the start of the process we have:
=1.
Now consider the situation after having drawn n times.
The current fraction of blue balls is
, the number of blue balls is therefore 10
.
We either draw a red ball, with probability 1−
. and the number of red balls, blue balls stay the same (we swap red for red):
(red)=
or we draw a blue ball, with probability
and we obtain 10
−1 blue balls on a total of 10 balls, thus:
(blue) = (10
− 1)/10
The total probability of (fraction of) blue balls after this n'th draw is therefore:
=
(red)(1−
)+
(blue)
which can be simplified to:
=0.9
which leads to:
fn=0.9
At the end of the 10'th draw the fraction of blue balls is equal to:
=
≈ 0.348678
Answer:
a) a=8, b=3, c=-4
b) (-3 +
)/16, (-3 -
)/16)
c) roots in decimal form are 0.54 and -0.92
Step-by-step explanation:
a) 8n² + 3n - 4
b) (-3±
) ÷ 16
Answer:
56
Step-by-step explanation:
Howard's answer is completely wrong at least the way I completed the problem. When you want to calculate the percentage of a number in any case you multiply. Instead of multiplying 140 by 40 percent you multiply it by 0.4 (140*0.4) which will give you 56 which is the correct answer and is 40 percent of 140.