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Marina86 [1]
3 years ago
11

I need help im gonna post 3 more different questions pls answer them.

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer:

15

Step-by-step explanation:

x³ - (3 + x)²

4³ - (3 + 4)²

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Find the value of x. Give your answer in simplest radical form.
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Answer: x = 5*sqrt(10)
"sqrt" stands for "square root"

-------------------------------------------------------

Refer to the attached image. The figure is not to scale. Notice how I've added in y and z (blue and red respectively)
The length y is the bottom horizontal leg for the triangle on the right.
The length z is the bottom horizontal leg for the triangle on the left.

To find x, we need to find y first, which will help us find z, and then we can finally get to x.

Let's find y first
To do this, we use the pythagorean theorem
a^2 + b^2 = c^2
y^2 + 9^2 = 15^2
y^2 + 81 = 225
y^2 + 81-81 = 225-81
y^2 = 144
sqrt(y^2) = sqrt(144)
y = 12 ... keep in mind that y is a length, so it needs to be positive

Notice how the y and z lengths combine to form a total length of 25 units
Therefore,
y+z = 25
12+z = 25
12+z-12 = 25-12
z = 13

Now that we know z = 13, we can find x. Again we use the pythagorean theorem one last time
a^2 + b^2 = c^2
z^2 + 9^2 = x^2
13^2 + 9^2 = x^2
169 + 81 = x^2
250 = x^2
x^2 = 250
sqrt(x^2) = sqrt(250)
x = sqrt(250)
x = sqrt(25*10)
x = sqrt(25)*sqrt(10)
x = 5*sqrt(10)
This is in simplest radical form as we can't factor 10 any further (there are no perfect square factors that go into 10). This is the exact length of side x

Note: using a calculator, 5*sqrt(10) = 15.8113883008419 approximately

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Segment AB is on the line y − 3 = 2(x 2), and segment CD is on the line y − 3 = negative one half(x 2). Which statement proves t
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Step-by-step explanation:

i got it right on the test

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A university law school accepts 7 out of every 11 applicants. If the school accepted 665 students, how many applications did the
Fittoniya [83]

Answer:

1,045 applications

Step-by-step explanation:

Create a proportion where x is the number of applications they received:

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Cross multiply and solve for x:

7x = 7315

x = 1045

So, they received 1,045 applications

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