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3 years ago

I’ll give you a huge virtual bear hug if you answer this right

Mathematics

1 answer:

Olegator [25]3 years ago

3 0

Answer:

x = 12, y = 8

Step-by-step explanation:

Since we know that the two triangles are similar that means we can find the ratio. The larger triangle is two times larger, we can find that out using 7/3.5 = 2. That means x + 4 = 2y and 3y = 2x. We can solve for y using substitution. We can double the first equation. 2x + 8 = 4y. We know that 2x = 3y so we can plug that in. 3y + 8 = 4y. Solving for y, gets us y = 8. Now we can plug that into any of the prior equations. I'll use 3y = 2x. 3(8) = 2x. 24 = 2x. Divide both sides by 2. x = 12.

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

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2 years ago

The table below shows the numbers of students at 4 middle schools.

Naddik [55]

Answer:

(a) 300

(b)100

Step-by-step explanation:

(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300

(b) DuBois=3*100=300

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3 years ago

Is a parallelogram a square. <br><br> JUST SAY YES OR NO, SKIP THE EXPLANATION

allochka39001 [22]

Answer:

You said skip the explanation, so ok

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3 years ago

When solving the equation x/5 - 12 = 10, what is your last step?

Fittoniya [83]

Answer:

A multiply by 5

Step-by-step explanation:

x/5-12=10

x/5=10+12

x/5=22

multiple each side by 5

x=22*5

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3 years ago