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3 years ago

Triangle PQR is transformed to the image of triangle P'Q'R'.

Mathematics

1 answer:

babymother [125]3 years ago

7 0

Answer:

Step-by-step explanation:

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Why are 4(5) and 20 equivalent expressions?

Studentka2010 [4]

Answer:

4 times 5 = 20, and 20 is... well.. 20

Step-by-step explanation:

When a number has another number in parentheses by it, it means you multiply the numbers together. So 4(5) is the same as 4 times 5, which equals 20

5 0

3 years ago

Read 2 more answers

Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount

boyakko [2]

$\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200$

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus $\bf 110\%\implies \cfrac{110}{100}\implies 1.1$ .

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1} \right)\\\\\\S_4=2000(4.641)\implies S_4=9282$

7 0

3 years ago

Look at the rectangle and the square: Ada says that the length of diagonal SQ is two times the length of diagonal OM. Is Ada cor

Musya8 [376]

Answer:

No, she is wrong.

Step-by-step explanation:

A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :

${c}^{2} = {a}^{2} + {b}^{2}$

Rectangle,

${qs}^{2} = {rs}^{2} + {qr}^{2}$

${qs}^{2} = {16}^{2} + {8}^{2} = 320$

$qs = \sqrt{320} = 17.9 \: inches$

Square,

${om}^{2} = {lo}^{2} + {lm}^{2}$

${om}^{2} = {8}^{2} + {8}^{2} = 128$

$om = \sqrt{128} = 11.3 \: inches$

Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.

$17.9 \div 11.3 = 1.58 \: (not \: equals \: to \: 2)$

7 0

3 years ago

How many solutions does 3r-4=11-2r have

horsena [70]

Answer:

it only has one solution and it is r = 3

Step-by-step explanation:

4 0

3 years ago

2. What are the measures of

hodyreva [135]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

To answer the above question based on the image, the answer is <span>EBG=45; EBG is acute. EBC=100; EBC is obtuse</span>

6 0

4 years ago