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AysviL [449]
3 years ago
11

Express with radical signs instead of fractional exponents. Rationalize the denominator.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

x^{\frac{1}{2}} = \sqrt[2]{x} and 3^{-\frac{1}{2}} = \frac{1}{3^{\frac{1}{2}} } = \frac{1}{\sqrt[2]{3}} so

3^{-\frac{1}{2}} x^{\frac{1}{2}} = \frac{1}{\sqrt{3}} \cdot \sqrt{x}  = \frac{\sqrt{x}}{\sqrt{3}}

and you rationalize denominator by multiplying numerator and denominatr by \sqrt{3} so that gives--

\frac{\sqrt{x}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3x}}{3}

Your answer is \frac{\sqrt{3x}}{3}

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6 0
3 years ago
In the diagram, line x|| line y. Find the angle measures below.
Yanka [14]

Answer:

<1 = 95

<2 =85

Step-by-step explanation:

<1 = 95

They are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

<1 + <2 = 180  since they form a straight line

95+ <2 =190

Subtract 95 from each side

95-95+<2 =180-95

<2 =85

5 0
3 years ago
Can I get help with this please
drek231 [11]

Answer:

3)  1 5/6 mi

4)  a. 4 cm, 6 ft

    b. 6.4 cm, 9.6 ft

    c. same as part a

Step-by-step explanation:

3) Each of the given distances appears twice in the sum of side measures that is the perimeter. Hence by walking the perimeter twice, Kyle walks each of the given distances 4 times. His total walk is ...

  4×1/3 + 4×1/8 = 4/3 + 4/8

  = 1 1/3 + 1/2 = 1 2/6 + 3/6

  = 1 5/6 . . . . . miles

___

4) Since the figure is rectilinear (all angles are right angles, and all sides are straight lines), the sum of partial dimensions in one direction is equal to the whole dimension in that direction.

a. 8 cm = 4 cm + x

  8 cm - 4 cm = x = 4 cm

The distance in the room is ...

  (4 cm)×(1.5 ft/cm) = 6 ft

b. 10.3 cm = 3.9 cm + y

  10.3 cm - 3.9 cm = y = 6.4 cm

The distance in the room is ...

  (6.4 cm)×(1.5 ft/cm) = 9.6 ft

c. The answer to part b was obtained in the same way as the answer to part a.  The unknown dimension is the difference of given dimensions. The actual length in the room is the model length multiplied by the inverse of the scale factor.

3 0
3 years ago
PLEASE NEED HELP NOW!!!!!!!❤️
alexira [117]

Answer:

A. 2564 cm^2

Step-by-step explanation:

There are two triangles (Which both are the same) and three different rectangles.

1. Let's solve the area of the triangles first!

Formula: bh(1/2)

10(26)(1/2)

130

2. Now, let's multiply by 2 since there's two of them:

130(2) = 260

3. So, we got 260. Let's find the area of the three rectangles!

Formula: bh

Rectangle A: 28(36) = 1008

Rectangle B: 10(36) = 360

Rectangle C: 26(36) = 936

4. Add the area of the triangles and the rectangles!

260 + 1008 + 360 + 936 = 2564

So the surface area is 2564 cm^2

Hope this helps! <3

4 0
3 years ago
Please help me with this one
lara31 [8.8K]

Answer:

D

Step-by-step explanation:

D, it has a right angle and it shows us that the hypotenuse is congruent and the leg is also congruent.

7 0
3 years ago
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