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PilotLPTM [1.2K]
3 years ago
5

Can someone help me with these 2 questions? I'll give u the brainliest.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0

Hello!

In geometry, the Triangle Inequality theorem states that the sum of any two sides of the triangle must be greater than the third side, the one not added to another. This must work for all 3 combos of pairs of sides.

So we can look at your first problem, two sides are 18 and 11. The first thing you want to see is how much would have to be added to 11 so it would be greater than 18, as 11 + x > 18 is one of the pairs. If we subtract 11 from both sides of that inequality, 11 + x - 11 > 18 - 11, then you get x > 7. And since there's only one selection where it has 7 < x, or 7 < x < 29, then you know your answer is that.

Next question. We can go through the answer choices. 4 would obviously not work, as 8 + 4 = 12, and that's less than 15. 7 wouldn't either, as 8 + 7 = 15, and 15 = 15, and it has to be greater. Same case for 23, as 15 + 8 = 23, and that wouldn't work. So the only choice that ends up being correct is 10. You can check that by doing, 15 + 8 = 23, 23 > 10. 15 + 10 = 25, 25 > 8. 8 + 10 = 18, 18 > 15.

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Can someone help please.
snow_lady [41]
<span>By the Pythagorean theorem
AB = </span>√(12²+5²) = √169 = 13 units

\frac{AD}{AB} =  \frac{BD}{BC} \ \to \ BC= \frac{AB*BD}{AD}= \frac{13*12}{5}=   31.2 \ units
8 0
2 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
What would be the dimensions of a rectangle with a perimeter of 14
alisha [4.7K]

Answer:

17........ hope its helpful

Step-by-step explanation:

⇒2x+2y=14⇒2x+2y=14 or x+y=17x+y=17

8 0
3 years ago
Find the GCF for each set of numbers<br> 3. 18, 24<br> 4. 18, 90
mafiozo [28]

The GCF of 18 and 24 is 6. And the GCF of 10 and 90 is 18.

Hope this helps! :D

-TanqR

3 0
3 years ago
Read 2 more answers
Compare the average score of a student at the beginning of a month and at the end of that month, if at first, it increased by 40
Leno4ka [110]

Answer:

122.5

Step-by-step explanation:

Let the student normal score be 100

In the beginning score increased by 40%

Hence score at the beginning =100+40 = 140%

Now before end score decreased by 25%

Decrease = 25% of 140 = 35

Hence score at the end of month = 140-35 = 105

Average score for the month

= Total of scores of end and beginning month /2

= \frac{140+105}{2} \\=122.5

4 0
3 years ago
Read 2 more answers
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