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ruslelena [56]
3 years ago
10

The lengths of the three sides of a right triangle are 25,15,20. Which equation correctly expresses the relationship between the

lengths of the three sides?
Question 1 options:

A 202+252=152

B 252+152=202

C 152+202=252

D 252+202=152
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

Option C. 15^2 + 20^2 = 25^2

Step-by-step explanation:from the question, we obtained the following:

The sides = 25, 15, 20

Since it is a right angle triangle, 25 is the longest side. Therefore their relationship is:

15^2 + 20^2 = 25^2

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Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknig
pentagon [3]

Answer:

  1. Probability [No customers in system] = 0.375
  2. Customers waiting for service = 25/24
  3. Average time customer wait = 1.25/1.5
  4. May be wait
  5. Per customer average time = 1.33 (Approx)

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)

7 0
3 years ago
Find the area of a circle with a diameter of 1.5 m.<br><br><br> 4.71 m2<br><br><br> 1.77 m2
nikdorinn [45]
I hope this helps you



radius=diameter/2



radius=1,5/2


radius=0,75


Area=pi. r^2


Area=3,14. (0,75)^2


Area=1,76
7 0
3 years ago
What is the value of x in the equation x−23+16=56?
Anvisha [2.4K]
56-16=40+23=63. ×=63

63-23=40+16=56

Reverse the problem it helps!
3 0
3 years ago
In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a rand
bogdanovich [222]

Answer:

0.0019390

Step-by-step explanation:

10% of people do not like the taste of cilantro

A researcher takes a random sample of 15 people and surveys whether they like cilantro

Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.

Probability of success = 0.10 = p

Probability of failure = 0.9 =q

n = 15

r = 6

Formula : P(X=r)=^nC_rp^r q^{n-r}

P(X=6)=^{15}C_6 (0.1)^6 (0.9)^{15-6}

P(X=6)=\frac{15!}{6!(15-6)!} (0.1)^6 (0.9)^{15-6}

P(X=6)=0.0019390

Hence  the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390

3 0
3 years ago
Number 11 please , someone? Thank you .
KIM [24]
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.

Also, in a triangle, the sum of the measures of the interior angles is 180.

We can now calculate the measures of the three angles by writing and solving an equation.

m<A + m<B + m<C = 180

9x - 7 + 7x - 9 + 28 - 2x = 180

Collect like terms on the left side.

9x + 7x - 2x - 7 - 9 + 28 = 180

14x + 12 = 180

Subtract 12 from both sides.

14x = 168

x = 12

Now that we know x, we can find the measure of each angle.

m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4

(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)

Now that we know the angle measures, the opposite sides are in the same order of size.

AB < AC < BC

The sides are, in increasing order of length:

AB, AC, BC
8 0
3 years ago
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