Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
Find the distance between the 2 points shown on the number line.
Р
Q
-10
-5
0
5
10
12
13
14
15
Answer:
It's 12 please give brainliest
Step-by-step explanation:
-6 and 6 make it 12
Answer:
its B. 13
Step-by-step explanation:
Please help this is due right now!
Answer:
i believe its B
Step-by-step explanation:
Okay. B because your paying more than store A so B will pay the phone off faster than store A . if i am wrong let me know.
A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.
Step-by-step explanation:
1) 43
2) 61
3) 79
4)97
5)115
Answer:
popoverlover20 is correct I got it right
Step-by-step explanation:
In 2020, the United States population is 3.31 x 108. What is this number in standard form?
А
33,100,000
B
331,000,000,000
С
331,000,000
D
3,310,000
anybody know the answer??
Answer:331,000,000
Step-by-step explanation:
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:B if two lines are cut by a traversal, then corresponding angles are congruent.
Step-by-step explanation: the corresponding angles theorem proves this.
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answer:
22meter per second
Step-by-step explanation:
374/17=22
Answer:
Could I have branliest please and heart answer is below <>
Step-by-step explanation:
22
374meters. 17
(/). divided by (/)
17seconds 17
Equals 22 meters per second
I’ll mark you brainlist write in y=mx+b form
Answer:
y = -1/4x + 3
Step-by-step explanation:
:)
Callie pays for a cat toy with a $10 bill and receives $2.55 in change. The equation 10 - c = 2.55 gives the cost in dollars for the cat toy. Determine whether c=6.45, c=7.45 or c=8.45 is a solution of the equation, and tell what the solution means. The
Answer:
c = 7.45
Step-by-step explanation:
its easy and im smart that's why i got it
I need an answer for both of these
Answer:
1. x < -2
2. x < -9
Step-by-step explanation:
1. x + 15 < 13
Minus 15 on both sides.
x + 15 - 15 < 13 - 15
+15 - 15 makes a 0.
x < -2
2. x + 11 < 2
Minus 11 on both sides.
x + 11 - 11 < 2 - 11
+11 - 11 makes a 0.
x < -9
Answer:
1. x < -2
2. x < -9
3. x < 15
Step-by-step explanation:
Treat the < and > symbols as an equals sign to make it less confusing to solve. Then solve for x like you normally would.
1. x+ 15 = 13
subtract 15 from both sides
x=-2, or x < -2
2. x + 11 = 2
Subtract 11 from both sides.
x=-9, or x <-9
3. 19 > x + 4
19 = x + 4
Subtract 4.
15 > x, or x < 15
HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!
Answer:
97
Explanation:
Buddy- 6
Hermey-3
____________________________________________________________
It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!
6+94=100 years old!
3+94= 97 years old!
Answer:
He is going to be 50 years old
Step-by-step explanation:
if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50 because that would be half. You can divide it if you want some extra proof :)
Abby bought one package of cookies that weighed 24 ounces and another package that weighed 2 pounds 2 ounces. What was the combined weight of the two packages of cookies she bought?
Answer: If you place 10 packages per box, each box will weigh 10(3 lb 4 oz). This is 30 lb 40 oz. For 4 boxes you would have 4(30 lb 40 oz). This is 120 lb 160 oz. To put you answer in the correct form you need to change the 160 oz to pounds and ounces. 16 oz is equal to 1 pound, so divide 160 by 16. The 160 oz is equivalent to 10 lbs. Therefore the total weight of 4 boxes is 120 + 10 which equals 130 lbs.
What is the slope of a line perpendicular to the line whose equation is 12x-3y=81. Fully reduce your answer.
Answer:
-1/4
Step-by-step explanation:
-3y = 81-12x
y= 4x - 27
4m = -1 x 1/4
= -1/4
can someone help me
============================================================
Explanation:
Let's find the slope of the table. This will tell us the rate of change.
m = slope
m = (y2-y1)/(x2-x1)
m = (25250 - 26375)/(2 - 1) .... I used the first two rows
m = -1125/1
m = -1125
The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.
Since we're told the initial altitude was 27500 ft, this means b = 27500
This means y = mx+b turns into y = -1125x+27500
x is the number of minutes and y is the altitude at time x
As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.
------------------
Now plug in y = 16250 and solve for x
y = -1125x+27500
16250 = -1125x+27500
-1125x+27500 = 16250
-1125x = 16250-27500
-1125x = -11250
x = -11250/(-1125)
x = 10
It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.
Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.
......ah....................
Answer:
a infinatley many
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are no solutions.
Hope this helps!
True or False:
The geometric meaning of the word normal is perpendicular.
Answer:
A normal is an object such as a line or vector that is perpendicular to a given object. ... If normal is 90 degree to the surface, that means normal is used in 3D. Perpendicular in that case is more in 2D referring two same entities (line-line) with 90 degree angle between them.
A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls
$5,520.00 there ya go
help ;-; Im almost overdue and I'n only on Q.13/24
My teacher is gonna kill me, this is the third assignment that's gonna be overdue
Answer: C (-7/18)
Step-by-step explanation: you flip the denominator and numerator and keep the negative
2. Express each of the following percentages as a decimal.
12%
Answer:
.12
Step-by-step explanation:
if it is out of 100% then 12% is equal to .12 from 1
Planes A and B are shown. If a new line, p, is drawn parallel to line l, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same plane as line l.
O Line p must be drawn in the same plane as line n
Answer: the second one
Step-by-step explanation:
I’m smart I have al a’s
The true statement is - Line p must be drawn so that it can lie in the same plane as line l.
What is plane?"It is a two-dimensional flat surface with no edges or thickness."
What are parallel lines?"Two lines in the same plane that are at equal distance from each other and never meet."
For given question,
Planes A and B are shown.
If a new line, p, is drawn parallel to line l, must be drawn so that it can lie in the same plane as line l.
Line l lie in plane A.
So, the line p must be drawn in the plane A.
Therefore, the true statement is - Line p must be drawn so that it can lie in the same plane as line l.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ3
PLEASE HELP PLEASE EMERGENCY
Answer:First one is first step. 2 is Last step. 3 is fourth step. 4 is second step. 5 is Third step
Step-by-step explanation:
I went down the column
What is this i dont know pls help me
HELPP ASAPPPP
Evaluate the expression 10m - 11
if m=4
Answer:
is the answer 45444.2453 jd
Step-by-step explanation:
Answer:
10m -11 ( plug in the given value for m)
10 (4) -11 (do multiplication first because of PEMDAS)
40 -11 (subtract)
29 (the answer)
What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1,5, 3,5)?
Answer:
B
Step-by-step explanation:
slope equals 1 and y-int equals 5
the question is on the sheet.
I need help asap
Less then 5 minutes
Answer:
um well he would be well rested so he would score higher than others but I'm not sure on the exact number maybe around 90-100
The length and width of one rectangle are 8 and 5.
The width of the other rectangle is 5, but its length is unknown so we label it `x`.
Answer:
fksfk
Step-by-step explanation:
Answer: x is 8
Step-by-step explanation:
Pleass HELP I GIVE BRILLIANT ANSWER
Answer:
The Best answer will be D having to add 7 then subtracting 8, becoming -1, then dividing to become D.
Step-by-step explanation:
Which pair of angles are complementary but not adjacent?
O 1 and 25
O 1and 3
O 4 and 1
O 4 and 5
please help someone
Answer:
m1 =131 degrees
m2=49 degrees
Step-by-step explanation:
Alternate interior angles are always congruent, so they will be equal to each other, so m1=131 degrees.
Straight angles always add up to 180 degrees, so 180-131=49, so m2=49 degrees
rewrite y=-8x+1 in standard form
Answer:
8x+y=1
Step-by-step explanation:
Hope this helps!!
