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3 years ago

The hypotenuse of a 45°-45°-90° triangle measures 18 cm.

Mathematics

2 answers:

mojhsa [17]3 years ago

6 0

Answer: B

Step-by-step explanation:

alina1380 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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The pattern below starts with the number 20 and follows a rule. 5,15,35,75,155

Alex Ar [27]

5,10,20,40,110 that I think is the answer hope this helps

6 0

3 years ago

Read 2 more answers

William invested $5000 in an account that earns 3.5% interest, compounded

zvonat [6]

Answer:

Option B. $5737.62

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=4\ years\\ P=\$5,000\\ r=0.035\\n=1$

substitute

$A=\$5,000(1+\frac{0.035}{1})^{1*4}$

$A=\$5,000(1.035)^{4}$

$A=\$5,737.62$

5 0

3 years ago

HELP PLEASE 30 POINTS!!

Naya [18.7K]

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

4 0

3 years ago

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

.01,1/8,0.23,1/5 greatest to least

lorasvet [3.4K]

Answer:

.23 ,1/5 , 1/8 ,.01

Step-by-step explanation:

.I will put them all in decimal form

.01 = .01

1/8 = .125

.23 = .23

1/5 = .2

largest to smallest

.23 >..2 < .125 < .01

Put them back in their original form

.23 >1/5 > 1/8 >.01

.23 ,1/5 , 1/8 ,.01

5 0

4 years ago