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Katena32 [7]
3 years ago
5

What is the value of x in the diagram of Circle O below? *

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

60 degrees

Step-by-step explanation:

As we know that a circle is 360 degrees, and as line AB bisects the circle, then the resulting "semi-circle" is 180 degrees. As we know that angle AC is 120 degrees, it's simple subtraction, to find that 180-120 is 60. Therefore, the value of <em>x</em> must be 60 degrees.

Hope this explanation helped!

Furkat [3]3 years ago
4 0
180 - 120 = 60
60 degrees
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Three friends split the cost of Dinner.Dinner was $24.18 How much did each friend s
boyakko [2]
You basically would just divide, $24.18 by 3 . since they split the cost.
3 0
3 years ago
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How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
What is the quotient in simplified form ? Need help please
Gre4nikov [31]

Answer:

  -\dfrac{4a^{12}b^8}{5}

Step-by-step explanation:

The applicable rules of exponents are ...

  \dfrac{1}{a^{-b}}=a^b\\\\a^ba^c=a^{b+c}

Your ratio simplifies to ...

  \dfrac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=-\dfrac{4}{5}a^{8-(-4)}b^{-2-(-10)}\\\\=-\dfrac{4a^{12}b^8}{5}

_____

Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))

8 0
4 years ago
The tangent line to y= f(x) at (4,-6) passes through the point (10,9) Compute the following, f(4) and f'(4)
Anni [7]
The solution to your problem is as follows:

The tangent line passes through (4,-6), so x = 4 when y = -6 

=> f(4) = -6 

The tangent line will have a constant gradient. 

gradient is m = (-6 - 9)/(4 - 10) => 5/2

Equation is y - 9 = (5/2)(x - 10) 

=> y - 9 = (5/2)(x-10) 

<span>i.e. y = (5/2)(x-10) + 9 
</span>      y = (5/2)x - 25 + 9 =   y = (5/2)x - 16

Now, f '(x) = dy/dx = 5/2

so, f '(4) = 5/2....i.e. gradient is 5/2 whatever the value of x. 


I hope my answer has come to your help. Thank you for posting your question here in Brainly.

3 0
3 years ago
Will mark brainliest if right
azamat

Answer: 5x^2 + 3x + 1

Step-by-step explanation:

1.) Put the two equations together into an addition problem.

<em>3x^2 + 4x + 2x^2 - x + 1</em>

2.) Combine like terms.

<em>3x^2 + 2x^2 = 5x^2</em>

<em>4x - x = 3x</em>

<em>1 = 1</em>

3.) Order the like terms together.

<em>5x^2 + 3x + 1</em>

8 0
3 years ago
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