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3 years ago

6

A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a peri

meter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides. What is the base of the largest triangular flag Sara can make?

2 answers:

kiruha [24]3 years ago

8 0

Answer:

9.36

Step-by-step explanation:

combine like terms. x+2x+2x=46.8

get x by itself 5x=46.8

x=9.36

s344n2d4d5 [400]3 years ago

5 0

Lets assume the sides of the isosceles triangle are:

Side A: x

Side B: x

Base: x/2

x+x+x/2= 46.8cm

2x+x/2=46.8cm

4x+x=93.6

5x=93.6

x= 18.72

Side A: 18.72cm

Side B: 18.72cm

Base: 9.36cm

The base of the largest triangular flag Sara can make is 9.36cm.

2x+x/2= 46.8cm

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1. If $c(x)=\frac{x}{0.5}+x$

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When x=0.027 the result is: $y=\frac{0.027}{0.5}+0.027=0.054+0.027=0.081$

When x=0.064 the result is: $y=\frac{0.064}{0.5}+0.064=0.128+0.064=0.192$

When x=0.125 the result is: $y=\frac{0.125}{0.5}+0.125=0.25+0.125=0.375$

When x=0.216 the result is: $y=\frac{0.216}{0.5}+0.216=0.432+0.216=0.648$

When x=0.343 the result is: $y=\frac{0.343}{0.5}+0.343=0.686+0.343=1.029$

When x=0.512 the result is: $y=\frac{0.512}{0.5}+0.512=1.024+0.512=1.536$

When x=0.729 the result is: $y=\frac{0.729}{0.5}+0.729=1.458+0.729=2.187$

When x=1 the result is: $y=\frac{1}{0.5}+1=2+1=3$

2. If $c(x)=sin(x)+2x$

Then

$y=c(x)$

$y=sin(x)+2x$

Using each of the values for x we have.

When x=0 the result is: $y=sin(0)+2(0)=0$

When x=0.008 the result is: $y=sin(0.008)+2(0.008)=0.000139+0.016=0.016139$

When x=0.027 the result is: $y=sin(0.027)+2(0.027)=0.000471+0.054=0.054471$

When x=0.064 the result is: $y=sin(0.064)+2(0.064)=0.001117+0.128=0.129117$

When x=0.125 the result is: $y=sin(0.125)+2(0.125)=0.002182+0.25=0.252182$

When x=0.216 the result is: $y=sin(0.216)+2(0.216)=0.003769+0.432=0.435769$

When x=0.343 the result is: $y=sin(0.343)+2(0.343)=0.005986+0.686=0.691986$

When x=0.512 the result is: $y=sin(0.512)+2(0.512)=0.008936+1.024=1.032936$

When x=0.729 the result is: $y=sin(0.729)+2(0.729)=0.012723+1.458=1.470723$

When x=1 the result is: $y=sin(1)+2(1)=0.017452+2=2.017452$

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