answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amiraneli [1.4K]
2 years ago
3

I included a photo with the information! Here are the questions. A thorough explanation and diagram would help IMMENSELY. Thank

you so much!
Question 1: reate a labeled diagram of the Brick. Use x to represent the length of a side of the base of the candle. Then write an equation for the volume of the candle in terms of x. Write the polynomial in standard form.


Question 2: Create a labeled diagram of the Egyptian. Use x to represent the length of a side of the base of the candle. Then write an equation for the volume of the candle in terms of x. Write the polynomial in standard form.

Question 3: 1. To impress management, you decide to propose your own original candle design based on solid figures. Make your candle design attractive and make sure it will be practical to manufacture. Draw the candle in the space below and label the drawing with dimensions. Then write an equation for the volume of the candle in terms of x, where x is a dimension that defines the area of the candle’s base. Write the polynomial in standard form.

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
7 0

Answer:

1) Labeled diagram in the first figure attached

Volume of the rectangular prism: x^2*(x-1) = x^3 - x^2 ; x in cm, volume in cm^3

2) Labeled diagram in the second figure attached

Volume of the right square pyramid: (1/3)*(x^2)*21 = 7*x^2, x in cm, volume in cm^3

3) A cylinder is proposed, where x is the radius of the base and the height is 4 times the radius. Labeled diagram in the third figure attached .

Volume of the cylinder: π*x^2*(4*x) = 4*π*x^3, x in cm, volume in cm^3

ololo11 [35]2 years ago
3 0
1. If the length of the side of the base of the Brick is x then, the volume in cubic centimeters of the candle is:
V = x² (x - 1)
or
V = x³ - x²

2. If the length of the side of the base of the Pyramid is x then, the volume in cubic centimeters of the candle is:
V = (1/3) (21) x²
or
V = 7x²

3. The new design involves the two original designs, with the Pyramid placed on top of the Brick. Therefore, the volume is:
V = x³ - x² + 7x²
or
V = x³ + 6x²
You might be interested in
A ball is thrown upward and outward from a height of 77 feet. the height of the​ ball, f(x), in​ feet, can be modeled by f left
Oksi-84 [34.3K]
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x), 
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft

b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.


 c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
6 0
2 years ago
How many pairs of whole numbers have a sum of 99
alexandr402 [8]

With the sum of 99, we will get 50 pairs whole numbers. Why?

Let’s start with

0+ 99

1 + 98

2 + 97

3 + 96

4 + 95

5 + 94

6 + 93

7 + 92

8 + 91

9 + 90

10 + 89

………

……..

43 + 49

44 + 50


Therefore, if you’re going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99.

Hope this helps!

4 0
2 years ago
Read 2 more answers
A computer shop charges 20 pesos per hour for first two hours and an additional 10 pesos per hour for each succeeding hour. Repr
SCORPION-xisa [38]
R(t)=10t+20. This shows the first 20 pesos, and the additional 10 pesos for every hour. Hope this helps.
4 0
2 years ago
Read 2 more answers
The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost
VMariaS [17]
The answer is 60 dollars
5 0
2 years ago
Read 2 more answers
The choir club at a local school is running a field to a waterpark. There are 6 parks the club is considering. The director has
ddd [48]

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r


is the formula which gives us the total number of ways of forming groups of r objects out of n objects.


for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.


<span>Thus, there are C(6, 3) many ways of forming different triples out of 6.</span>


C(6, 3)= \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=\frac{6\cdot5\cdot4\cdot3!}{3!3!}=\frac{6\cdot5\cdot4}{3!}=\frac{6\cdot5\cdot4}{3\cdot2\cdot1}=5\cdot4=20


Answer: A.20

5 0
2 years ago
Read 2 more answers
Other questions:
  • The amount of red blood cells in a blood sample is equal to the total amount in the sample minus the amount of plasma. What is t
    8·1 answer
  • The chicken coup at the petting farm is 10 by 14 feet. The farm would like to double the current area
    6·1 answer
  • Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is ap
    13·1 answer
  • Bill has x pence.
    5·1 answer
  • A fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour. The fisherman will keep fishing for two
    11·1 answer
  • ellen buys 24 ounces of green beans at the grocery store. the green beans cost $1.90 per pound. how much does she pay for the gr
    11·1 answer
  • Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 i
    11·1 answer
  • A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recover
    7·2 answers
  • HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted
    12·1 answer
  • The probability that Brian wins a raffle is given by the expression n n + 2 . Write down an expression, in the form of a combine
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!