All categories

2 years ago

Given LMNP ∼ QRST, find RS.

Mathematics

2 answers:

creativ13 [48]2 years ago

6 0

I can’t solve right now but if you know cross multiplication i can set up the equation for you

27/45=x/25
now cross multiply and get your answer :)

lianna [129]2 years ago

4 0

Answer and Step-by-step explanation:

We know that shape LMNP is similar to shape QRST.

This means that the side LM is similar to side QR.

The shapes look dilated, so to find the scale factor, we would divide 45 by 27.

$\frac{45}{27} = \frac{5}{3} , or 1.6^{-}$ is the dilation factor.

So, to find x, we would divide 25 by $\frac{5}{3}$ .

$\frac{25}{\frac{5}{3} } = 25 * \frac{3}{5} = 15$

X is equal to 15.

#teamtrees #WAP (Water And Plant)

You might be interested in

Describe the vector that defined the following translation. HELPPPPP RNN

siniylev [52]

Answer:

t.uy

Step-by-step explanation:

3 0

1 year ago

Find the common ratio of the geometric sequence-15,-30,-60

blondinia [14]

Answer:

Step-by-step explanation:

The common ratio of the sequence is 2 because between each term you are multiplying by 2 to get the next term

7 0

3 years ago

)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio

Ira Lisetskai [31]

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

5 0

3 years ago

What is the surface are for this figure??

UkoKoshka [18]

Answer:

31.5

Step-by-step explanation:

You need to first use the formula of calculating surface area of a cuboid

SA=2(lw+lh+wh)

now you put the values in as

H=3

W=1.5

L=2.5

You get 31.5

Hope this Helps!

7 0

2 years ago

Read 2 more answers

On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

3 years ago