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2 years ago

The diagram shows corresponding lengths in two similar figures. Find the ratio of the areas of the two figures.

Mathematics

2 answers:

Eva8 [605]2 years ago

6 0

Hello.

The answer is

49:81

There exists the same question from other source with the figure.

The figure shows corresponding lengths in two similar figures. The ratio of the perimeters of the two figures is 49:81

Have a nice day

astra-53 [7]2 years ago

5 0

Your answer should be D. 49.81

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Cameron is designing a calendar as a fund raising project for math class. The cost of printing is $500, plus $2.50 per calendar.

belka [17]

Y = 2.5x - 500

I simplified it a bit, you could write it as y = 5x - 2.5x - 500

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3 years ago

Read 2 more answers

Greta must volunteer 225 hours for a community service project. She plans to volunteer for 6 hours

klemol [59]

Answer:

A. "an arithmetic sequence with a common difference (d) of -6."

B. 33 hours

C. $a_n=a_1+(n-1)d$

D. See below

Step-by-step explanation:

Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

The formula for term of arithmetic sequence is:

$a_n=a_1+d(n-1)$

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

$a_{33}=225 + (-6)(33-1)\\a_{33}=33$

She will have left 33 hours

We will use the arithmetic sequence term formula written above, that is:

$a_n=a_1+(n-1)d$

THis gives us the amount of hours left after a certain number of weeks.

We plug in 40 into n and find the hours left:

$a_{40}=225+(40-1)(-6)\\a_{40}=225-234\\a_{40}=-9$

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

6 0

3 years ago

Find the TWO integers whos product is -12 and whose sum is 1

ahrayia [7]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$