All categories

3 years ago

Help please asp. !!!

Mathematics

1 answer:

pentagon [3]3 years ago

4 0

Answer:

12.86 cm³ of water is saved

Step-by-step explanation:

✔️Since width of new ice ball must be the same as the length of original cube, therefore, diameter of the ice ball = 3 cm

Radius of ice ball = ½(3) = 1.5 cm

Volume of the new sphere ice ball = ⁴/3πr³

Substitute

Volume of new sphere ice ball = ⁴/3 × π × 1.5³ = 14.14 cm³

✔️To find out how much water would be saved using the new sphere ice ball, let's find the volume of the cube then find the difference of both.

Volume of original ice cube with length 3 cm:

Volume of cube = s³

s = 3 cm

Volume of cube = 3³ = 27 cm³

Volume of water saved = 27 cm³ - 14.14 cm³

= 12.86 cm³

You might be interested in

Determine the missing information in the paragraph proof.

dmitriy555 [2]

The information given is sufficient for this proof .

Slope of a line passing through x1 ,y1) and ( x2,y2) is given by the formula :

M = ( y2 - y1)/ ( x2-x1)

________________________________

Let us start finding the slope of line PQ

the given points are ( a,b) and ( c,d)

using the slope formula we get :

slope of line PQ = m= ( d-b) /( c-a)

Let us now try finidng slope of the another line P'Q'

It is passing through ( -b ,a) and (-d,c)

using the formula we get slope of P'Q' = m' = ( c-a) /( -d - -b)

m'= ( c-a) /( -d+b)

m'= ( c-a) / -( b-d Let us find the product of m and m' :

( d-b ) * ( c-a)

----------- ------------ = -1

(c-a) - ( b-d)

Because we got product of m and m' = -1 hence proved product of perpendicular lines are negative reciprocal of each other .

8 0

4 years ago

Read 2 more answers

Please understand the explanation

aivan3 [116]

$answer = 12.56 \: square \: km\\ radius = 4km \\ area \: of \: quarter \: circle = \frac{\pi {r}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times {4}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times 16}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12.56 \: square \: km \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment$

4 0

4 years ago

How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de

lesantik [10]

Answer:

amount is 1000 × $e^{0.08t}$

$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × $e^{rt}$ ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × $e^{rt}$

amount = 1000 × $e^{0.08t}$

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal

rt = 0.08 × 40 = 3.2

amount = principal × $e^{rt}$

1000000 = principal × $e^{3.2}$

principal = 1000000 / $e^{3.2}$

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × $e^{rt}$

1000000 = 2500 × $e^{40r}$

take ln both side

ln $e^{40r}$ = ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

5 0

3 years ago

The price of a pair of shoes increases from $55 to $77. What is the percent increase to the nearest percent?

Rom4ik [11]

Answer:

40%

Step-by-step explanation:

40% of 55 is 22 and 55+22=77

hoped this helped :)

6 0

3 years ago

Evaluate 5(x - 1) - 2 when x = 3. O A. -4 Ос. O D.O

12345 [234]

Answer:

Step-by-step explanation

First you have to plug in 3 for x:

5(3-1)-2

Then using PEMDAS you would simplify that:

5(2)-2

10-2

4 0

4 years ago