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3 years ago

Consider the two numerical expressions below. Which one is true and which one is false? (9 1/2) 4 = 81 (4 1/6) 3 = 16

Mathematics

2 answers:

melomori [17]3 years ago

7 0

Both of them are false

crimeas [40]3 years ago

4 0

Do you mean exponents? If so then

<span>(9^1/2)^4
= 9^(1/2 *4)
= 9^4/2
= 9^2
= 81 ....This is true
---------------------------

</span><span>(4^1/6)^3
</span>= 4^(1/6 *3)
=4^3/6
=4^1/2
= sqrt (4)
= 2 .......not equal 16 .....so it's false

so answer

(9^1/2)^4 = 81 is true

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2 years ago

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3 years ago

Find the volume of the triangular prism in the picture shown. Round your answer to the

Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = $9\dfrac{2}{3}$ yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

$V=Bh$ ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}$

$B=2\times \dfrac{29}{3}$

$B=\dfrac{58}{3}$

Putting $B=\dfrac{58}{3}$ and h=4 in (i), we get

$V=\dfrac{58}{3}\times 4$

$V=\dfrac{232}{3}$

$V=77.33...$

$V\approx 77.3$

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

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3 years ago

The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the len

alexandr1967 [171]

First. we use the Pythagorean theorem:
$a {}^{2} + b {}^{2} = c {}^{2}$
Add the numbers in
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start simplifying
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So, the leg has a length of 40 mm.

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4 years ago

Anyone who could do these 8 listed questions I will give a generous amount of points. Please make sure to list all the angles th

k0ka [10]

Answer:

1) 0, 180

2) 90

3) 3pi/2

4) pi/2, -3pi/2

5) 90, 270

6) 0

7) pi

8) -2pi, 0, 2pi

Step-by-step explanation:

1) sinx = 0

x = 0, 180, 360

2) sinx = 1

x = 90

3) sinx = -1

x = 270 or 3pi/2

4) sinx = 1

x = pi/2, pi/2 - 2pi = -3pi/2

5) cosx = 0

x = 90, 360

6) cosx = 1

x = 0, 360

7) cosx = -1

x = pi

8) cosx = 1

-2pi, 0 , 2pi

5 0

3 years ago