Answer:
Step-by-step explanation:
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid.
Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm (as shown in figure below)
also, To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm
We have to find the number of wax cubes will Devin need in order to make the candle.
Consider Wax cubes of dimension 4 cm by 4 cm by 4 cm
Volume of cube = (side)³
Thus, Volume of one wax cube is given by = (side)³
Volume of one wax cube = (4)³= 64 cm³
Now we find the volume of square pyramid.
Volume of square pyramid =
Thus,Volume of given square base with base side 9 cm and height 10 cm is
Area of square = (side)²
Volume of square pyramid =
Volume of square pyramid =
Volume of square pyramid =
thus, the volume of square pyramid is 270 cm³
(approx)
Thus, the number of wax cubes required is 4.21. Rounding it off to the nearest whole number, we will get 5.
Thus,the number of wax cubes required is 5.
Answer:
t needs 68 feet to enclose the garden.
Step-by-step explanation:
In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.
Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.
Solving the problem
First, let us solve for r using the condition AD = BC
AD = BC
3r + 8 = 2r + 12
Simplify the equation
3r - 2r = 12 - 8
r = 4
Next, let us substitute the value of r to AB, BC, CD, and AD.
For AB:
AB = 4r - 2
AB = 4(4) - 2
AB = 16 - 2 = 14
For BC:
BC = 2r + 12
BC = 2(4) + 12
BC = 8 + 12 = 20
For AD:
AD = 3r + 8
AD = 3(4) + 8
AD = 12 + 8 = 20
For CD:
But AB = CD Therefore, CD = 14
Finally, let us solve the perimeter of the parallelogram
Perimeter = AB + BC + CD + AD
Perimeter = 14 + 20 + 20 + 14
Perimeter = 68 feet
Therefore, the fencing needed to enclose the garden is 68 feet.
To learn more, just click the following links:
Step-by-step explanation:
Find how fast she runs 1 km:
18/2 = 9 minutes.
So we know have K = 9t
Subtract 18 from both sides:
K-18 = 9t -18
Rewrite the right side:
K-18 = 9(t-2)
Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies.
For Job 'B', his salary would be: 62,000 + 2,000n
A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.
B.
a. 55,000 + 2,500n
b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a.
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]]
Anyway, I hope this helped! :D
