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guapka [62]
3 years ago
11

PLZ HELP ASAP LAST SIMMILAR TRIANGLES

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
8 0
QR/KL=PQ/JK=PR/JL
t/1.5=25/5=22.5/4.5
t/1.5=5=5
t/1.5=5
solving for t:
1.5(t/1.5)=1.5(5)
t=7.5

Answer: t=7.5

Viktor [21]3 years ago
7 0

<span>By similarity of triangles we have the following relationship:</span>

<span> (t) / (22.5) = (1.5) / (4.5)</span>

<span> Clearing the value of t we have:</span>

<span> t = ((1.5) / (4.5)) * 22.5</span>

<span> Simplifying we have:</span>

<span> t = ((1) / (3)) * 22.5</span>

<span> The value of t is:</span>

<span> T = 7.5</span>

<span> Answer:</span>

<span> <span>T = 7.5</span></span>

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oee [108]

Simplified to its simplest form, your answer would be 20%. Since there are 30 students in total, and 6 of them are male sophomores, you would have 6/30. This can be simplified down to 2/10 and even further to 1/5. In decimals, this becomes 0.2, which as a percent becomes 20%.

4 0
3 years ago
Geoffrey is evaluating the expression (-3)^6(2^6)/(-3)^5(2^2) as shown below.
Alekssandra [29.7K]

Answer:

48.

Step-by-step explanation:

First you multiply the number by itself as many times as the number of the exponent is. In this case you <u>multiply -3 to itself 6 times which makes -729</u>, <u>2 to the 6th power is 64</u>, <u>-3 to the 5th power is -243, and 2 to the 2nd power is 4.</u> Then you <u>multiply -729 by 64 which makes -46656</u> and <u>multiply -243 by 4 which makes -972</u>, and then <u>divide -972 from -46656</u> <em>which makes 48</em>.

3 0
3 years ago
8 more than a number x
alexandr1967 [171]
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7 0
3 years ago
Read 2 more answers
Find the distance between (0, 0) and (3, 4).
Orlov [11]

Answer:

L²=(3-0)²+(4-0)²

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L²=25

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5 0
3 years ago
At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday. Let
Kamila [148]

Answer:

a) Cancellations are independent and similar to arrivals.

b) 22.31% probability that no cancellations will occur on a particular Wednesday

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Mean rate of 1.5 per day on a typical Wednesday.

This means that \mu = 1.5

(a) Justify the use of the Poisson model.

Each wednesday is independent of each other, and each wednesday has the same mean number of cancellations.

So the answer is:

Cancellations are independent and similar to arrivals.

(b) What is the probability that no cancellations will occur on a particular Wednesday

This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231

22.31% probability that no cancellations will occur on a particular Wednesday

5 0
4 years ago
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