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Inessa [10]
3 years ago
13

15. convert the following values into scientific notation, a) 42,670,000 B) 0.0000008

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

8x10^-7

Step-by-step explanation:

First one you have correct however the second one you were close lets figure it out:

0.0000008

In order to move the decimal in front of the eight we have to "jump" 7 times to the right.  Furthermore since we have to move the decimal to the right our exponent will be negative.  That means that we have:

0.0000008=8 \times 10^{-7}


~~~Brainliest Appreciated~~~

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20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.
vivado [14]

\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\  \end{gathered}

Explanation

Step 1

a) let

\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}

b) b value

to find the measure of side b we can use cosine function

\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}

c) angle B

to find the measure of Angle B we can use sine function

\begin{gathered} sin\theta=\frac{opposite\text{  side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}

d) side a

\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}

so, the answer is

\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\  \end{gathered}

I hope this helps you

7 0
1 year ago
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