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oksano4ka [1.4K]
3 years ago
5

What is the length of the unknown leg in the right triangle?

Mathematics
2 answers:
OLEGan [10]3 years ago
7 0

Answer:

<h2>The leg missing is 15 meters long.</h2>

Step-by-step explanation:

We know that one leg of the triangle is 20 meters long, the hypothenuse is 25 meters long, and the leg missing is called <em>b</em>.

To solve this problem, we need to use Pythagorean's Theorem

25^{2}=20^{2}+b^{2}\\ b=\sqrt{25^{2}-20^{2}}\\ b=\sqrt{625-400} =\sqrt{225}\\ b=15

Therefore, the leg missing is 15 meters long.

Rama09 [41]3 years ago
3 0

Answer:

we will use Pythagorean's Theorem

25^{2}=20^{2}+b^{2}\\\\ b=\sqrt{25^{2}-20^{2}}\\\\ b=\sqrt{625-400} =\sqrt{225}\\\\ b=15

Therefore, the missing leg is  15 meters long.

Step-by-step explanation:

we will use pythagoras theorem

Given that,

One leg of the triangle is 20 meters long,

the hypothenuse is 25 meters long,

and the leg missing is called x.

we will use Pythagorean's Theorem

25^{2}=20^{2}+b^{2}\\\\ b=\sqrt{25^{2}-20^{2}}\\\\ b=\sqrt{625-400} =\sqrt{225}\\\\ b=15

Therefore, the missing leg is  15 meters long.

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Could you help me to solve the problem below the cost for producing x items is 50x+300 and the revenue for selling x items is 90
s344n2d4d5 [400]

Answer:

Profit function: P(x) = -0.5x^2 + 40x - 300

profit of $50: x = 10 and x = 70

NOT possible to make a profit of $2,500, because maximum profit is $500

Step-by-step explanation:

(Assuming the correct revenue function is 90x−0.5x^2)

The cost function is given by:

C(x) = 50x + 300

And the revenue function is given by:

R(x) = 90x - 0.5x^2

The profit function is given by the revenue minus the cost, so we have:

P(x) = R(x) - C(x)

P(x) = 90x - 0.5x^2 - 50x - 300

P(x) = -0.5x^2 + 40x - 300

To find the points where the profit is $50, we use P(x) = 50 and then find the values of x:

50 = -0.5x^2 + 40x - 300

-0.5x^2 + 40x - 350 = 0

x^2 - 80x + 700 = 0

Using Bhaskara's formula, we have:

\Delta = b^2 - 4ac = (-80)^2 - 4*700 = 3600

x_1 = (-b + \sqrt{\Delta})/2a = (80 + 60)/2 = 70

x_2 = (-b - \sqrt{\Delta})/2a = (80 - 60)/2 = 10

So the values of x that give a profit of $50 are x = 10 and x = 70

To find if it's possible to make a profit of $2,500, we need to find the maximum profit, that is, the maximum of the function P(x).

The maximum value of P(x) is in the vertex. The x-coordinate of the vertex is given by:

x_v = -b/2a = 80/2 = 40

Using this value of x, we can find the maximum profit:

P(40) = -0.5(40)^2 + 40*40 - 300 = $500

The maximum profit is $500, so it is NOT possible to make a profit of $2,500.

3 0
3 years ago
Supposed you buy two shares of a stock worth $100. It goes up by 50% .how much did you make
alexira [117]

Answer:

The answer is $150

Step-by-step explanation:

hope that helps

Solutions: $100x.50=50

$100+$50= $150

6 0
3 years ago
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LUCKY_DIMON [66]

For the given situation we have a total of 259,459,200 permutations.

<h3>How many permutations are?</h3>

First, how we know that it is a permutation?

Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).

Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.

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Then the total number of permutations (product between the numbers of options) is:

P = 15*14*13*12*11*10*9*8 = 259,459,200

If you want to learn more about permutations:

brainly.com/question/11732255

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2 years ago
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WITCHER [35]

There is nothing here for anyone to work off, If you have a picture or screenshot that would be very nice!

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