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mario62 [17]
3 years ago
15

In circle A, tangent FH and chord EG intersect to form angle HEG. FInd the measure of angle HEG.

Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Option B is correct, i.e. 72 degrees.

Step-by-step explanation:

Given is a diagram of circle in which tangent-chord angle is formed i.e. angle ∠HEG.

We can find the angle ∠HEG using the Tangent-Chord Angle formula as follows:-

Tangent-chord angle = Half of intercepted arc.

angle ∠HEG = 1/2 arcEG.

(3x + 18) = 1/2 * (9x - 18)

6x + 36 = 9x - 18

9x - 6x = 36 + 18

3x = 54

x = 18.

angle ∠HEG = 3x+18 = 3*18 + 18 = 72 degrees.

Hence, option B is correct, i.e. 72 degrees.

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Marysya12 [62]
152... cuz 28 is perpendicular so... 180-28
5 0
3 years ago
What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
Tanya [424]

The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.

<h3>What is a Rhombus ?</h3>

A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.

Let x be the half of the other diagonal.

tan 60 = x / 9

x = 9 tan 60

x = 9√3

Area of the Rhombus = (d1 * d2 /2 )

d1 and d2 are the length of the diagonal.

Area of the Rhombus = (9*2)(2 *9√3)/2

Area of the Rhombus =162√3 sq.unit

To know more about Rhombus

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6 0
2 years ago
Memory module consists of 9 chips. The device is designed with redundancy so that it works even if one of its chips is defective
soldier1979 [14.2K]

Answer:

a) P[C]=p^n

b) P[M]=p^{8n}(9-8p^n)

c) n=62

d) n=138

Step-by-step explanation:

Note: "Each chip contains n transistors"

a) A chip needs all n transistor working to function correctly. If p is the probability that a transistor is working ok, then:

P[C]=p^n

b) The memory module works with when even one of the chips is defective. It means it works either if 8 chips or 9 chips are ok. The probability of the chips failing is independent of each other.

We can calculate this as a binomial distribution problem, with n=9 and k≥8:

P[M]=P[C_9]+P[C_8]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)\\\\P[M]=p^{8n}(p^{n}+9(1-p^n))\\\\P[M]=p^{8n}(9-8p^n)

c)

P[M]=(0.999)^{8n}(9-8(0.999)^n)=0.9

This equation was solved graphically and the result is that the maximum number of chips to have a reliability of the memory module equal or bigger than 0.9 is 62 transistors per chip. See picture attached.

d) If the memoty module tolerates 2 defective chips:

P[M]=P[C_9]+P[C_8]+P[C_7]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1+\binom{9}{7}P[C]^7(1-P[C])^2\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])+36P[C]^7(1-P[C])^2\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)+36p^{7n}(1-p^n)^2

We again calculate numerically and graphically and determine that the maximum number of transistor per chip in this conditions is n=138. See graph attached.

6 0
3 years ago
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
inessss [21]
It would be 20.15 because the 65% of 31 is 20.15
8 0
3 years ago
What is 105,159 rounded to the nearest ten thousand
ludmilkaskok [199]
The answer will be 100,000 I hoped this helped;)
3 0
3 years ago
Read 2 more answers
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