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3 years ago

Find x using the trig ratios please

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

Answer:

12.9

Step-by-step explanation:

cos 72 = 4/x

x = 4/cos72

x = 12.9

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If you are going 50 miles per hour, how many feet per second are you traveling?

Karolina [17]

You would travel 73.333334ft per second because 50 miles/hour would make 73.333333repete foot/second.

5 0

3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

The initial quantity at T= 0 is 1000z the quantity grows by a factor 3%. What is the quantity at T=5?

fgiga [73]

Answer:

1,159

Step-by-step explanation:

1000*(1.03) = 1159.274 at t = 5

8 0

3 years ago

Find c.<br> Round to the nearest tenth.

solmaris [256]

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

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3 years ago

7x – 4 and 6x – 4 – x are equivalent using the interactive tool.

ss7ja [257]

7X-4=6X-4-X
7X-6X+X=0
2X=0
X=0

5 0

3 years ago

Read 2 more answers