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IceJOKER [234]
3 years ago
13

What is 9 29/40 as a decimal

Mathematics
2 answers:
earnstyle [38]3 years ago
5 0

Answer:

The answer is 9.725

Step-by-step explanation:

We have been given the mixed fraction 9\frac{29}{40}

First we will concert this to improper fraction.

\frac{40(9)+29}{40}

= \frac{389}{40}

Now we will divide this using long division or calculator and get the answer  9.725.

Verizon [17]3 years ago
3 0

Answer:

The given fraction can be written as decimal 9.725

Step-by-step explanation:

We are given the following in the question.

We are given a fraction. We have to write the fraction in decimal form.

The given fraction is:

9\displaystyle\frac{29}{40}

First converting the mixed fraction into improper fraction, we have:

9\displaystyle\frac{29}{40}\\\\=\frac{40\times 9 + 29}{40} = \frac{389}{40}

Now, we have obtained the improper fraction.

Now, we can use the long division method to perform the division.

The decimal form of the given fraction is :

\displaystyle\frac{389}{40} = 9.725

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Find the values of x and y. <br> x + 7i = y − yi
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Answer: X = y - yi - 7i

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Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

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Step-by-step explanation:

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2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
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The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

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What is the value of h?
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Answer:

10ft

Step-by-step explanation:

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