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3 years ago

Find x in the given figure. (The vertical chord is a diameter.)

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Step-by-step explanation:

Let the center of the circle be point O.

A right-angled triangle can be drawn using one side of chord X as the base and its height up to point O.

The height of the triangle will be 4 - 2 = 2, and the hypotenuse is the radius of the circle, which is 4.

By Pythagoras' Theorem, 2^2 + (X/2)^2 = 4^2.

So (X/2)^2 = 14, and X = 2√14.

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What’s the answer for this question?

qaws [65]

Answer:

Step-by-step explanation:

you would put 4 in the x places and 2 in the yplaces and then you would distribute 4^2 +3(2)/4(2)

16+6/2=22/8=2 3/4

8 0

3 years ago

A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

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3 years ago

X= -5 y=2 work out the VALUE if 3x + 4y

Orlov [11]

3(-5) + 4(2)
= -15 + 8
= -7

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3 years ago

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I need help. Please help me with this

In-s [12.5K]

Answer:

c not sure tho

Step-by-step explanation:

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3 years ago

Help me with my homework pls :)

vesna_86 [32]

Answer:

That smile tho lol

anywayssssss

b= 16 mm

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2= c^2, so-

12^2 +b^2= 20^2

144+b^2=400

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3 years ago

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