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Tom [10]
3 years ago
11

Given the circle below with the secant FED and tangent CD, find the length of FE. Round to the nearest tenth if necessary.

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

<h3>How to determine the length FE?</h3>

The lengths are given as:

  • DE = 12 units
  • CD = 16 units

Start calculating the length DF using:

DE * DF = CD²

So, we have:

12 * DF = 16²

Evaluate the exponent

12 * DF = 256

Divide both sides by 12

DF = 21.3

The length FE is then calculated using:

DF = FE + DE

Substitute DE = 12 and DF = 21.3

21.3 = FE + 12

Subtract 12 from both sides

FE = 21.3 - 12

Evaluate the difference

FE = 9.3

Hence, the length of FE in the circle is 9.3 units

Read more about tangents and secants at:

brainly.com/question/14697178

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2 factors that add to 6 but multiply to 60
hodyreva [135]

Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

x * y = 60

x + y = 7

Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

(x + y) - x = 7 - x

.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

.: 7 - x = 60 / x

Now, solve for x:

(7 - x) * x = (60 / x) * x

.: x * 7 - x^2 = 60

This is quadratic, so write it in the form of ax2 + bx + x = 0

(-1)x^2 + (7)x + (-60) = 0

.: a = -1, b = 7, c = -60

Finally solve for b:

x = (-b +- sqrt(b^2 - 4*a*c)) / 2a

.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)

.: x = (-7 +- sqrt(49 - 240)) / -2

.: x = (-7 +- sqrt(-191)) / -2

The square root of a negative value is imaginary and thus there’s no real answer to this problem.

8 0
3 years ago
Let f(x)= {4 for x&lt;= 3 and 7- x for x&gt; 3. Use geometric formulas to evaluate the integral from 1 to 7 of f(x) dx.
olga55 [171]
The correct answer is 16
7 0
3 years ago
The library had 124,000 books find how many books are classified as children fiction l
Mrrafil [7]
Take 124,000 books and multiply it by the percentage of children fiction which is 23%

124,000 x 0.23 = 28,520 children fiction books
6 0
4 years ago
What is the product of the binomials below?
Minchanka [31]

Answer:

B. 6x^2 + 15x + 9

Step-by-step explanation:

You will have to take the 1st term in the 1st parentheses. Multiply it with the other 2 terms in the 2nd parentheses. Do the same thing with the 2nd tems in 1st parentheses.

2x*3x + 2x*3 + 3*3x + 3*3

6x^2 + 6x +9x +9

Now add like terms and simplify

<u>6x^2+15x+9</u>

There's your answer. :)

5 0
3 years ago
Help me pls i keep getting 3/2 but thats not the answer
Gemiola [76]

\huge\text{Hey there!}

\large\boxed{\mathsf{\dfrac{6x^2}{y^3}}}\\\\\large\boxed{= \mathsf{\dfrac{6(4^2)}{4^3}}}\\\\\large\boxed{= \mathsf{\dfrac{6(4\times4)}{4\times4\times4}}}\\\\\large\boxed{= \mathsf{\dfrac{96}{16\times4}}}}\\\\\large\boxed{= \mathsf{\dfrac{96}{64}}}\\\large\boxed{\approx \mathsf{\dfrac{96\div32}{64\div32}}}\\\large\boxed{\approx \mathsf{\dfrac{3}{2} \rightarrow \bf \dfrac{96}{64}}}

\huge\text{Thus, your answer is: \boxed{\mathsf{Option\ A. } \  \mathsf{\dfrac{96}{64}}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy}\\\huge\text{your day!}

~\frak{Amphitrite1040:)}

3 0
3 years ago
Read 2 more answers
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