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4 years ago

PLZ help!!

Mathematics

1 answer:

nlexa [21]4 years ago

7 0

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 =

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.

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What is the percent of change from 60 to 87?

stiv31 [10]

Answer:

45% increase

Step-by-step explanation:

The new number (87) is bigger than the original number (60), so this is a percent increase.

To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.

Subtract to find the change.

87 - 60 is 27.

27 is the amount of change.

change/original

= 27/60

= .45

Times by 100 to change to a percent.

.45 × 100

= 45%

8 0

2 years ago

Domain and range and function , need ASAP

Diano4ka-milaya [45]

Answer:

Domain: $-2\leq x\leq 2$

Range: $0\leq y\leq 4$

Step-by-step explanation:

The domain of a function is the set of values that one can input into a function and get a valid result.

The range of a function is the set of valid outputs that one can attain when a value is substituted into a function.

6 0

3 years ago

4, percent of a number is what fraction of that number?

Rama09 [41]

Answer:

a tenth of it i think is what you're asking.

Step-by-step explanation:

7 0

3 years ago

A 100 - foot fence is used to enclose a rectangular land plot. If the area of the land plot is 456 square feet, which equation c

quester [9]

Answer:

$x^2-50x+456=0$

Step-by-step explanation:

GIVEN: A $100\text{ foot}$ fence is used to enclose a rectangular land plot. If the area of the land plot is $456\text{ feet}^2$ .

TO FIND: equation to determine the length $x$ of the land plot.

SOLUTION:

total length of fence $=100\text{ foot}$

let the width of land plot be $y$

perimeter of plot $=2(x+y)=100$

$x+y=50$

area of rectangular plot $=\text{length}\times\text{breadth}$

$xy=456$

$y=\frac{456}{x}$

putting value of $y$

$x+\frac{456}{x}=50$

$x^2-50x+456=0$

Hence required equation to get length $x$ of land plot is $x^2-50x+456=0$

on solving

$x=38,12$

possible length of land plot is $38\text{ foot}$ and $12\text{ foot}$

6 0

3 years ago

what is the domain of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}? a. {1, 3, 5, 7, 9} b. {1, 3, 5, 7} c. {1, 9} d. {3, 5, 7,

Papessa [141]

B. 1, 3, 5, and 7 are x values. Domain is the x value.

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3 years ago