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damaskus [11]
2 years ago
10

How do you calculate the value of the height, base or width of a rectangle, when the given volume, is 10m^3 and the base is twic

e its width?
Mathematics
1 answer:
harkovskaia [24]2 years ago
3 0

The length and width of the rectangle is 2√5m and √5m respectively

<h3>Volume of a rectangle</h3>

The formula for calculating the volume of a rectangle is expressed as:

V = lw

where

l is the length

w is the width

h is the height

If base is twice its width, then l = 2w

Substitute

10 = w(2w)

10 = 2w²

5 = w²

w = √5 m

Since l = 2w

l = 2√5m

Hence the length and width of the rectangle is 2√5m and √5m respectively

Learn more on volume of rectangle here: brainly.com/question/4062480

#SPJ1

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A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of
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Remember that they were that age 15 years ago.

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A submarine is at the surface of the ocean. It begins its descent at a rate of 100 feet per minute. Write a linear model in the
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Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve
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Let a_n be the n'th term of a sequence, 

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----------------------------------------------------------------------------------------------------
a sequence is arithmetic if the difference between any 2 terms is equal:

so an arithmetic sequence, for the first term = t, and the common difference = d, has the following form:

a_1=t

a_2=t+d

a_3=t+d+d

a_4=t+d+d+d

so clearly a_n=t+d*(n-1)
---------------------------------------------------------------------------------------------------
A sequence is geometric, if the ratio between any 2 consecutive terms is the same, and it is called the common ratio.

a geometric ratio with first term = t, and common ratio = r is:

a_1=t

a_2=t*r

a_3=t*r*r

a_4=t*r*r*r

thus clearly a_n=t* r^{n-1}
--------------------------------------------------------------------------------------------------

Part 1:

"<span>Jasmine practices the piano for  __30___ minutes on Monday. Every day she ____increases_______ her practice time by ____5 minutes_____. </span>"


let a_n be the number of hours Jasmine practices the n'th day, 

for n=7, t=30, d=5 we have

a_7=30+5*(7-1)=30+5*6=30+30=60,
 
minutes is the time Jasmine practices on the 7the day.


Part 2

 "<span>Anthony goes to the gym for ___60___ minutes on Monday. Every day he ___increases______his gym time by ____1/10_of the previous day_____. </span>"

if S_n represents the minutes that Anthony goes to gym on the n'th day, 

then

S_1=60

S_2=60+1/10*60=10/10*60+1/10*60=11/10*60=1.1*60

S_3=1.1*1.1*60

S_4=1.1*1.1*1.1*60

S_5=1.1*1.1*1.1*1.1*60= (1.1)^{4}*60= 1.4641*60=87.85
 (minutes)

Part 3: it is clear that the formula that can be derived in Part 2 is:

S_n=60*(1.1)^{n-1}

so assume we want to find how many hours does Anthony spend in the gym on the 10th day,

then we calculate S_10=60*(1.1)^{9}=60*2.358=141.5  (minutes)





6 0
3 years ago
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