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Volgvan
3 years ago
9

What is the value of x in the figure below? Leave answer in simplest radical form.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

x=3\sqrt{2}\ units

Step-by-step explanation:

we know that

The triangle of the figure is a 45°-90°-45°

therefore

cos(45\°)=\frac{x}{6}

cos(45\°)=\frac{\sqrt{2}}{2}

substitute

\frac{x}{6}=\frac{\sqrt{2}}{2}

x=6\frac{\sqrt{2}}{2}\ units

x=3\sqrt{2}\ units

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PLSSS HELPPP<br> MARKING BRAINLIST !!!!!!
ioda

Answer:

<em>First Option; 40,</em>

<em>Second Option; x = 3,</em>

<em>Third Option; x = - 5,</em>

<em>Fourth Option; x = 0</em>

Step-by-step explanation:

Given the expression x^2 + 3 * ( x + 4 ), where x = 4;

x^2 + 3 * ( x + 4 ) ⇒ Substitute the value of 4 in replacement of x,

( 4 )^2 + 3 * ( 4 + 4 ) ⇒ Add the terms in ( ), taking 4^2 at the same time,

16 + 3 * ( 8 ) ⇒ By PEMDAS, multiply 3 by 8 first,

16 + 24 ⇒ And now add the remaining terms,

<em>Solution; 40</em>

This next equation is given to be 5 * ( 2x - 1 ) = 25, where we must solve for x;

5 * ( 2x - 1 ) = 25 ⇒ Distribute the 5 to the terms in ( ),

10x - 5 = 25 ⇒ Add 5 on either side of the equation,

10x = 30 ⇒ Divide 10 on either side of equation,

<em>Solution; x = 3</em>

Here we must solve for the value of x provided the equation 6x + 4 - x = 2x - 11;

6x + 4 - x = 2x - 11 ⇒ Add 11 on either side,

6x + 15 - x = 2x ⇒ Add x on either side of equation,

6x + 15 = 3x ⇒ Subtract 6x on either side,

15 = - 3x ⇒ Divide 3 on either side,

<em>Solution; x = - 5 </em>

Now we are given the equation 4 - ( 3x + 4 ) = - 9x, solving for the value of x;

4 - ( 3x + 4 ) = - 9x ⇒ Distribute the - 1 to all terms in ( ),

4 - 3x - 4 = - 9x ⇒ Add 3x on either side of equation,

4 - 4 = - 6x ⇒ Subtract 4 from 4,

0 = - 6x ⇒ Divide - 6 on either side,

<em>Solution; x = 0</em>

4 0
3 years ago
Responder por método de igualación<br> Qᵒ=40-200<br> Qᵖ=160-20p
Gelneren [198K]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Help me do this please
wariber [46]

Answer:

58

Step-by-step explanation:

I think you add it when you add it you get 58. You add the angles

7 0
3 years ago
Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan
mote1985 [20]

Answer:

<h2>The required ratio is 8</h2>

Step-by-step explanation:

Volume of a sphere = \frac{4}{3}\pi  r^{3} where r is the radius of the sphere.

If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;

Vo = \frac{4}{3}\pi  (2)^{3}

Vo  = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.

radius of current sphere = 2cm+(1cm+1cm) = 4cm

Volume of the current sphere Vc = \frac{4}{3}\pi  (4)^{3}

Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;

Vc/Vo = \frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }

\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi}   \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8

The required ratio is 8

3 0
3 years ago
Can someone help me with this math homework please!
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Answer:

1/2

8

Step-by-step explanation:

When its talking about the result or output, look at the range, and then follow the line(s) back to the number(s) in the domain. Do the opposite when it's talking about the function of a certain number, e.g. f(4).

7 0
3 years ago
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