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3 years ago

Find the length of side x to the nearest tenth. 30° 12 x х 60°

Mathematics

1 answer:

k0ka [10]3 years ago

8 0

Answer:

13.9

Step-by-step explanation:

Use the Pythagorean Theorem

x=13.85 round to the nearest tenth 13.9

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Y=-x^2+2x+10 y=x+2 Substitution Need ASAP

aniked [119]

Answer:

$x_1=\frac{1+\sqrt{33} }{2},y_1=\frac{5+\sqrt{33} }{2}\\ \\ x_2=\frac{1-\sqrt{33} }{2},y_2=\frac{5-\sqrt{33} }{2}$

Explanation:

You must find the solution of the system using the substitution method.

System:

$y=-x^2+2x+10\\\\ y=x+2$

Substitute x+2 for y:

$x+2=y=-x^2+2x+10$

Pass all the terms to one side:

$x^2-2x+x+2-10\\ \\ x^2-x-8=0$

Use the quadratic formula to solve:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\ \\ x=\frac{-(-1)+/-\sqrt{(-1)^2-4(1)(-8)} }{2(1)}\\ \\ x=\frac{1+/-\sqrt{1+32} }{2}$

$x_1=\frac{1+\sqrt{33} }{2}\\ \\x_2=\frac{1-\sqrt{33} }{2}$

Use y = x + 2 to find the value of y:

$y_1=2+x_1=2+\frac{1+\sqrt{33} }{2}\\ \\y_1=\frac{5+\sqrt{33} }{2} \\\\y_2=2+x_2=2+\frac{1-\sqrt{33} }{2}\\ \\ y_2=\frac{5-\sqrt{33} }{2}$

6 0

3 years ago

Help me with this math equation.

alexdok [17]

Volume of cube = side^3
= 15^3
= 3375
Volume of pyramid= length x width x height/3
= 15 x 15 x 9
= 675
Total volume = 3375 + 675
= 4050 cubic feet

6 0

3 years ago

Find the exact value of x. Do the sides lengths form a Pythagorean triple?

kifflom [539]

It is square root of 495.
Use Pythagorean theorem.
We have A and C.
Subtract 81 from 576 to get 495.
To find x, un square both sides to get
About 22.2485955
Or 22.2 or 22 depending if we round.

5 0

3 years ago

What is the domain of f(x) = 3x – 2?

Elis [28]

Answer: las option.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope of the line and b is the y-intercept.

Then function given in the problem has the form:

$f(x)=3x-2$

Where:

m=3

b=-2

Therefore, it is a linear function.

By definition, the domain of the linear functions that are not bounded, is all the Real numbers.

Therefore, the answer is:

{x | x is a real number}

3 0

3 years ago

Read 2 more answers

Jesse played video game for 2.5 hours during the first week of the summer in the second week of summer he had played video games

romanna [79]

Yes it is proportional!
we know this because with every week that passes, he plays another 2.5 hours if video games. hope this helps:)

8 0

3 years ago