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gavmur [86]
3 years ago
9

What is the radical form of each of the given expressions?

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

  • 2^(1/2) = √2
  • 2^(2/3) = ∛(2^3)
  • 3^(3/2) = √(3^3)
  • 3^(1/2) = √3

Step-by-step explanation:

For each of these, you can make use of the form

\displaystyle a^{\frac{m}{n}}=\sqrt[n]{a^{m}}

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The point (1/3,1/4) lies on the terminal said of an angle. Find the exact value of the six trig functions and explain which func
katrin2010 [14]

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle (\frac{1}{3},\frac{1}4).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A(\frac{1}{3},\frac{1}4)

Let O be the origin i.e. (0,0)

Point B will be (\frac{1}{3},0)

Now, let us consider the right angled triangle \triangle OBA:

Sides:

Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}

Using Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}

sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}

\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}

cos\angle AOB = \dfrac{Base}{Hypotenuse}

\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}

tan\angle AOB = \dfrac{Perpendicular}{Base}

\Rightarrow tan\angle AOB = \dfrac{3}{4}

cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}

\Rightarrow cosec\angle AOB = \dfrac{5}{3}

sec\angle AOB = \dfrac{Hypotenuse}{Base}

\Rightarrow sec\angle AOB = \dfrac{5}{4}

cot\angle AOB = \dfrac{Base}{Perpendicular}

\Rightarrow cot\angle AOB = \dfrac{4}{3}

3 0
3 years ago
Cell phone users can obtain a clear signal when they are within a 42−mile radius of cell tower A. The radius that cell tower B c
Basile [38]

Answer:

It will have 16 times more coverage than cell tower A.

4 0
3 years ago
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Solve for a.<br><br> ​ 1/3(21−3a)=6−a​
Tems11 [23]
<span>1/3(21-3a)=6-a
I simplified the equation to the form, which is simple to understand
<span>1/3(21-3a)=6-a
Simplifying:
<span> + 0.333333333333*(21-3a)=6-a
Reorder the terms in parentheses
<span>+(+7-1a)=6-a
Remove unnecessary parentheses
<span>+7-1a=+6-a
We move all terms containing a to the left and all other terms to the right.
<span>-1a+1a=+6-7
We simplify left and right side of the equation.
<span>a=-1
<span>0=-1
The left and right sides are not equal, therefore there is no solution. This equation is invalid
Hope this helped

</span></span></span></span></span></span></span></span>
3 0
3 years ago
Read 2 more answers
10 hours to 6 hours percent of change
Novay_Z [31]
60%

I pretty sure this is right
4 0
3 years ago
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Please Help Asap Please And Thank You!
masha68 [24]

Answer:

Rate of change: 4/3

Step-by-step explanation:

Number of sodas/Total cost

pick a number

24/18 = 4/3

7 0
2 years ago
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