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irinina [24]
3 years ago
9

Consider the diagram below, CD is tangent to circle A at point B. EB bisects triangle ABC. Select all of the statements that are

true about the diagram.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

<em>m∠ABC = 90° , m∠ABE = 30° , m∠EBC= 45°</em>

Step-by-step explanation:

If I were to remember correctly;

m∠ABC = 90°

m∠ABE = 30°

m∠EBC= 45°

Hope you're doing alright during the quarantine. Best of luck!

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Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

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I got a. I multiplied 0.125 by 45 and got 5.625. I then divided 5.625 by five an got 1.125. I'm not really sure about my answer, so I did it another way. I divided .125 by five and got .025 so I multiplied that by 45 and got 1.125. I multiplied 1.125 by 1000 and got A.
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3 years ago
Big ideas math cumulative practice
worty [1.4K]
There are 30 kids in the class and 6 voted for Sunday which means that there is a 6/30 chance that the student picked Sunday or a 20% chance the kid picked Sunday.
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3 years ago
Hello what is the answer please 5+30÷10=
Brilliant_brown [7]

Answer:

Mizuki is here to help! The answer is 8!

Step-by-step explanation:

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