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3 years ago

How do you write an exact angle measure without approximating to a decimal value?

Mathematics

1 answer:

dimulka [17.4K]3 years ago

4 0

an exact angle measure without approximating to a decimal value is given below.

Step-by-step explanation:

Since an angle of 2 has degree measure 360° it follows that an angle of 1 radian has degree measure (180/ )°. Likewise, an angle of size 1° has radian measure /180. We now can easily obtain a formula to convert from degrees to radians and vice-versa. To convert from degrees to radians, multiply the angle by /180.

convert decimal degrees to DMS :

For the degrees use the whole number part of the decimal.
For the minutes multiply the remaining decimal by 60. Use the whole number part of the answer as minutes.
For the seconds multiply the new remaining decimal by 60.

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What number is represented in the expanded notation below?

MArishka [77]

Answer:

90,502,084.19

Step-by-step explanation:

Just add them together

3 0

2 years ago

In this problem,y = 1/(x2 + c)is a one-parameter family of solutions of the first-order DEy' + 2xy2 = 0.Find a solution of the f

trasher [3.6K]

Differentiate the given solution:

$y=\dfrac1{x^2+C}\implies y'=-\dfrac{2x}{(x^2+C)^2}$

Substitute $y$ and $y'$ into the ODE:

$-\dfrac{2x}{(x^2+C)^2}+2x\left(\dfrac1{x^2+C}\right)^2=0$

and it's easy to see the left side indeed reduces to 0.

6 0

3 years ago

Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)

o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

$\ln x=\frac{3 \cdot 2 \ln (2)}{2}$

Simplifying, we get,

$\ln x=3 \ln 2$

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

5 0

3 years ago

I will give you 5 stars and a heart!

Artemon [7]

So from these given details will be right choice A. sure because given that 1 unit cube = 1 inch so from this result that 48 unit cubes = 48 cubic inches

hope this will help you

7 0

3 years ago

A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car?

Eddi Din [679]

D. 100 kilometers/hour

8 0

3 years ago