0.08 and 0.4 as fractions in simplest form

Mathematics

1 answer:

IRISSAK [1]3 years ago

6 0

0.08 equals 2/25
0.4 equals 2/5

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For A I somehow got 41.05 but its 2.95cm can someone show me the working and what I did wrong?

777dan777 [17]

Answer:

Step-by-step explanation:

a). tan(75°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{11}{k}$

k = $\frac{11}{\text{tan}(75)}$

k = 2.947

k = 2.95 cm

b). cos(52°) = $\frac{16}{s}$

s = $\frac{16}{\text{cos}(52)}$

s = 25.988

s ≈ 25.99 cm

c). sin(5°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

= $\frac{16.1}{q}$

q = $\frac{16.1}{\text{sin}(5)}$

q = 184.727

q ≈ 184.73 cm

4 0

2 years ago

Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

vazorg [7]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)$