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BigorU [14]
3 years ago
9

What is the value of x? [Art not to scale.] x= 23 х = 35 х= 58 х = 93

Mathematics
1 answer:
finlep [7]3 years ago
7 0
X= 93
step by step
add 35+58=93
subtract 93 from 180 to get the missing inside angle 67
then subtract 67 from 180 to get 93
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Given the following equation of a circle in general form, find the equation in standard form by completing the square.
Artist 52 [7]

The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have an equation that represents the circle:

4x² + 8x + 4y² + 32y +52 = 0

Divide by 4 on both the sides:

x² + 2x + y² + 8y + 13 = 0

x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0

x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13

(x + 1)² + (y + 4)² = 4

(x + 1)² + (y + 4)² = 2²

Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

Learn more about circle here:

brainly.com/question/11833983

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3 0
2 years ago
If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?
julia-pushkina [17]

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

8 0
3 years ago
Please help me, <br> Thanks.
Lady_Fox [76]

Answer:

6.9

Step-by-step explanation:

6 \frac{4}{5}  = 6.8

6.9 > 6.8

6.9 < 7

3 0
3 years ago
Work for least common denominator for 3/4 and 1/6
Katen [24]

Answer:

3/4 and 1/6 are already reduced the farthest they can go.

6 0
3 years ago
In a survey of 1,003 adults concerning complaints about restaurants, 732 complained about dirty or ill-equipped bathrooms and 38
Ganezh [65]

Answer:

a

0.716  <  p <  0.744

b

0.3498  <  p <  0.4089

c

 With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at  a

and that

the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at  b

Step-by-step explanation:

From the question we are told that

The sample size is  n  =  1003

The number that complained about dirty or ill-equipped bathrooms is e = 732

 The number that complained about loud or distracting diners at other tables is  q =  381

Given that the the confidence level is  95% then the level of significance is mathematically represented as  

         \alpha = (100- 95)\%

         \alpha = 0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the value is  

         Z_{\frac{\alpha }{2} } =  1.96

Considering question a

The sample proportion is mathematically represented as

           \r p  =  \frac{e}{n}

=>        \r p  =  \frac{732}{1003}

=>        \r p  =  0.73

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{ \r p (1- \r p)}{n} }

          E =  1.96*  \sqrt{ \frac{ 0.73 (1- 0.73)}{1003} }

          E = 0.01402

The 95% confidence interval is  

        \r p  -  E  <  p  <  \r p +E

        0.73 - 0.01402 <  p <  0.73 +  0.01402

        0.716  <  p <  0.744

Considering question b

The sample proportion is mathematically represented as

           \r p  =  \frac{q}{n}

=>        \r p  =  \frac{381}{1003}

=>        \r p  =  0.3799

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{ \r p (1- \r p)}{n} }

          E =  1.96*  \sqrt{ \frac{ 0.3799 (1- 0.3799)}{1003} }

          E = 0.0300

The 95% confidence interval is  

        \r p  -  E  <  p  <  \r p +E

        0.3798 - 0.0300 <  p <  0.3798 + 0.0300

        0.3498  <  p <  0.4089

8 0
3 years ago
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