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k0ka [10]
3 years ago
10

Can y’all please help

Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

F(5) = 3

g(x) = 3, x = -1 and maybe 6.5

Step-by-step explanation:

For the first question, count over 5 units on the x-axis and find what the y value equals for the f(x) line.

For the second question count up the y-axis 3 and see where the g(x) line intersects which is -1 and possibly 6.5

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Step-by-step explanation:

7 0
3 years ago
Chord AB is 3cm from the center of a circle, the radius of the circle is 5cm, calculate the length of the chord.​
yan [13]

Answer:

\large{\boxed{\sf Chord = 8cm }}

Step-by-step explanation:

First see figure in attachment . As we know that ,<em>P</em><em>e</em><em>r</em><em>p</em><em>e</em><em>n</em><em>d</em><em>i</em><em>c</em><em>u</em><em>l</em><em>a</em><em>r</em><em> </em><em>f</em><em>r</em><em>o</em><em>m</em><em> </em><em>c</em><em>e</em><em>n</em><em>t</em><em>r</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>c</em><em>i</em><em>r</em><em>c</em><em>l</em><em>e</em><em> </em><em>b</em><em>i</em><em>s</em><em>e</em><em>c</em><em>t</em><em>s</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>c</em><em>h</em><em>o</em><em>r</em><em>d</em><em> </em><em>.</em><em> </em>Hence here ,

  • OC is the perpendicular bisector of chord AB .
  • Let us assume that AC = x , therefore ,

\sf\qquad\longrightarrow AB = 2AC = 2x

Now in ∆OAC , by Pythagoras Theorem , we have ;

\sf\qquad\longrightarrow (5cm)^2= x^2+(3cm)^2\\

\sf\qquad\longrightarrow 25cm^2=x^2+9cm^2\\

\sf\qquad\longrightarrow x^2=25cm^2-9cm^2\\

\sf\qquad\longrightarrow x^2=16cm^2\\

\sf\qquad\longrightarrow \pink{ x = 4cm }

Therefore , the length of chord will be ,

\sf\qquad\longrightarrow AB = 2x \\

\sf\qquad\longrightarrow AB = 2(4cm)\\

\sf\qquad\longrightarrow \pink{ AB = 8cm }

<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>l</u><u>e</u><u>n</u><u>g</u><u>t</u><u>h</u><u> </u><u>o</u><u>f</u><u> </u><u>c</u><u>h</u><u>o</u><u>r</u><u>d</u><u> </u><u>i</u><u>s</u><u> </u><u>8</u><u>c</u><u>m</u><u> </u><u>.</u>

8 0
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A palindrome is chosen at random from the list of all $6$-digit palindromes, with all entries equally likely to be chosen. (Reca
kirill115 [55]

Answer:

Expected value 550,000

Step-by-step explanation:

Calculation of the expected value of the chosen number

We should know that each of the digit of the number may likely be thought of what we called a random variable, in which the first digits and the last digits comes uniformly from [1,2,3,4,5,6,7,8,9] while the last digit can't be 0 because of what we called the palindrome condition).

Therefore each of these two digits will have an expected value of 5 while the other four digits will come uniformly from this digits which are [0,1,2,3,4,5,6,7,8,9] in which each of the digits will have an expected value of 4.5.

Thus Expected value is additive, which means we have to also take place the value into account.

Now let find the EXPECTED VALUE

The expected value will be :

(100,000+1)⋅(5)+(10,000+1,000+100+10)⋅(4.5)

Expected value=550,000

Therefore the Expected value will be 550,000

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Answer:

3

Step-by-step explanation:

(6a+9)-7b

There are 3 terms

3 0
3 years ago
Read 2 more answers
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