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PIT_PIT [208]
3 years ago
6

Find the value of x.

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

Answer:

<h2>           x = 84°</h2>

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠OAB = m∠OCB = 90°

m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o

The sum of the angles in the quadrilateral is 360°, so:

x = 360° - 2•90° - 96° = 84°

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Find dy/dx for (y^2/x) = 18 by implicit differentiation
Natasha2012 [34]

9514 1404 393

Answer:

  dy/dx = y/(2x)

Step-by-step explanation:

The product formula can be used, along with the power rule.

  d(uv) = du·v +u·dv

__

  d(y^2/x) = d(18)

  2y·dy/x -y^2/x^2·dx = 0

  2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y

  dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx

6 0
2 years ago
Harold earns $10.50 per hour working at a doctor’s office. On Monday he spent 1 5/12 hours filing paper work, 1 3/4 sending emai
maks197457 [2]

Answer:$57.75

Step-by-step explanation:

Find the total amount of hours he worked

1\frac{5}{12} +1\frac{3}{4} +2\frac{1}{3}\\\\\frac{17}{12}+ \frac{7}{4} +\frac{7}{3} \\\\\frac{17+21+28}{12} \\\\\frac{66}{12}=\frac{66/2}{12/2}=\frac{33/3}{6/3}=  \frac{11}{2} or 5\frac{1}{2} or 5.5h

So, he worked 5.5h and he earns $10.50 an hour.

($10.50)(5.5h)=$57.75

5 0
3 years ago
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepare
fiasKO [112]

Answer:

2. Alex sent the questionnaire only to those who live near her.

Step-by-step explanation:

Given scenario is :

Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood.

She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond.  

We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.

4 0
3 years ago
Simplify sqrt 3× sqrt 27
sleet_krkn [62]
√3√27

=√(3*27)

=√81

=9

As 9*9=81.

----------------------

RULES:

√a√b=√ab

As (√a√b)²=((√a)²(√b)²)=√a√a√b√b=ab

When:

(√a√b)²=ab

√a√b=√ab
4 0
3 years ago
Read 2 more answers
Trigonometry question
Yuri [45]

Step-by-step explanation:

phytagora:

a^2+b^2=c^2

10^2+24^2=c^2

100+576=c^2

676=c^2

c=√676

c=√169×4

c=13×2

=26

5 0
2 years ago
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