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lesantik [10]
3 years ago
12

HELP DUE IN 15 MINS! ΔLMN ~ ΔPQR. Which of the following sets of side lengths could be those of ΔLMN?

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

  • D. 9 cm, 12 cm, 15 cm

Step-by-step explanation:

<u>Given</u>

  • ΔLMN ~ ΔPQR

ΔPQR has sides ratio 3 : 4 : 5

ΔLMN should also have same ratio and the ratio of corresponding sides should be same.

<u>Let's verify the options:</u>

<u>A. 2 : 3: 4</u>

  • 2/3 = 3/4 = 4/5 - this is incorrect

<u>B. 6 : 7 : 8</u>

  • 6/3 = 7/4 = 8/5  - this is incorrect

<u>C. 8 : 15 : 17</u>

  • 8/3 = 15/4 = 17/5  - this is incorrect

<u>D. 9 : 12 : 15</u>

  • 9/3 = 12/4 = 15/5 = 3  - this is correct
yulyashka [42]3 years ago
3 0

Answer: D.

Step-by-step explanation:

If the triangle PQR has sides from biggest to smallest 3,4,5 we need another triangle with a similar ratio to compare it to.

9/3= 3  12/3=4   15/3=5

So the answer is D because I can divide all the sides of the new triangle by the same number to get the sides of triangle PQR

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The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0
3 years ago
Please help this is a project.
Aliun [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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dezoksy [38]

Answer:

GE

Step-by-step explanation:

6 0
3 years ago
Word form for571082346090
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571,082,346,090 in word form would be Five hundred seventy one billion eighty two million three hundred forty six thousand ninety.
7 0
3 years ago
The manufacturer of a CD player has found that the revenue R​ (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com
AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

R(p) = -5p^2 + 1550p

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550

Equating the first derivative to zero, we get,

\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155

Again differentiation R(p), with respect to p, we get,

\dfrac{d^2(R(p))}{dp^2} = -10

At p = 155

\dfrac{d^2(R(p))}{dp^2} < 0

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

R(155) = -5(155)^2 + 1550(155) = 120125

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

6 0
3 years ago
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