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konstantin123 [22]
3 years ago
10

If 3 tan A =cot A and A is an acute angle find angle APlease, I need detailed explaination​

Mathematics
1 answer:
kirill [66]3 years ago
7 0

Answer:

A is 30 degrees.

Step-by-step explanation:

cot A = 1/ tan A

Therefore 3 tan A = 1 / tan A

3 tan^2 A = 1

tan^2 A = 1/3

tan A = 1 /√3   is A is acute.

A = 30 degrees.

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If 3 students make up 10% of the class, how many students are there total in the class?
stealth61 [152]

Answer:

30 students

Step-by-step explanation:

3 students = 10% of the class.

x students = 90% of the class.

(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)

x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)

x= 9/1 × 3 students ( 9/1 is the same as 9)

x= 27 students

(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)

Total number of students in the class = 27 students + 3 students

= 30 students

7 0
3 years ago
Find the value of x.
umka2103 [35]
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4 0
3 years ago
Which of the following transformations always preserves the dimensions of a figure
Rina8888 [55]

Answer:

In Reflection, rotation and translation, dimensions of the figure are always preserved

Step-by-step explanation:

8 0
3 years ago
Please in desperate<br><br> Evaluate C(20, 18).
laila [671]
\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad &#10;\begin{cases}&#10;n=20\\&#10;r=18&#10;\end{cases}\implies _{20}C_{18}=\cfrac{20!}{18!(20-18)!}
6 0
4 years ago
X²-10+3x=0 la ecuación es completa o incompleta?
hjlf

Answer:

Yes, the equation is complete.

Step-by-step explanation:

The given quadratic equation, x² + 3x - 10 = 0 is expressed in standard form, <em>a</em>x² + <em>b</em>x + <em>c</em> = 0.

Where: a = 1, b = 3, and c = -10.

Using the quadratic formula:

x = \frac{-b (+/-) \sqrt{b^{2} - 4ac} }{2a}

We can solve for its solution by plugging in the values for <em>a, b</em>, and <em>c</em>.

x = \frac{-b (+/-) \sqrt{b^{2} - 4ac} }{2a}

x = \frac{-3 (+/-) \sqrt{(3)^{2} - 4(1)(-10)} }{2(1)}

x = \frac{-3 (+/-) \sqrt{9 + 40} }{2}

x = \frac{-3 (+/-) \sqrt{49} }{2}

x = \frac{-3 + 7 }{2},  x = \frac{-3 - 7 }{2}

x = \frac{4}{2} = 2,x = \frac{-10 }{2} = - 5

Therefore, the solutions of the quadratic equation, x² + 3x - 10 = 0 is:

x = 2, and x = -5

Please mark my answers as the Brainliest, if you find this helpful :)

6 0
3 years ago
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