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slega [8]
3 years ago
12

Find the length of side x in simplest radical form with a rational denominator​

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

x =  \sqrt{2}

Step-by-step explanation:

\tan 30 \degree =  \frac{x}{ \sqrt{6} }  \\  \\  \frac{1}{ \sqrt{3} } =  \frac{x}{ \sqrt{6} }    \\  \\ x =  \frac{ \sqrt{6} }{ \sqrt{3} }  \\  \\ x = \frac{ \:  \sqrt{3}  \times  \sqrt{2} }{ \sqrt{3} }  \\  \\ x =  \sqrt{2}

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Find the value of 4x2 + 2y where y= 0.5 and x= 3
Citrus2011 [14]

Answer:

37

Step-by-step explanation:

substitute the given values for x and y into the expression

4x² + 2y

= 4(3)² + 2(\frac{1}{2} )

= 4(9) + 1

= 36 + 1

= 37

7 0
3 years ago
What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)
Pie

Answer:

I thin B -7 cause its negative and negative goes down.

Step-by-step explanation:

3 0
3 years ago
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d
Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

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So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0
3 years ago
Can anyone help me with this, I gave a picture so you can figure it out
Ivenika [448]

Answer:

X=2

Step-by-step explanation:

If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5)  which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2

6 0
3 years ago
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
rodikova [14]

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

7 0
3 years ago
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