All categories

3 years ago

Find the radical equivalent of 27^2/3 and compute it. please help i'm taking a test.

2 answers:

6 0

Note that (a^b)^c=a^(bc) so in this case we have:

(27^(1/3))^2 the cube root of 27=±3

(±3)^2 and ±3^2=9

So the equivalent expression is 9 or if you need an exponent 9^1 :)

I am assuming that you meant 27^(2/3)

irina1246 [14]3 years ago

3 0

Answer:

Step-by-step explanation:

27^(2/3) = [cube root (27)]^2 = 3^2 = 9

You might be interested in

Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away from each other, they form

Korolek [52]

We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance

a =3
b =2.5
c =4

Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°

cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°

C=180 - 48.59° - 38.625°
C= 92.79°

The three angles are 48.59°,38.63° and 92.79°.

8 0

4 years ago

PLEASE CAN SOMEONE HELP????

schepotkina [342]

Answer:

figure it out dummy

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If

Eduardwww [97]

Answer:

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

4 0

3 years ago

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy

DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ $tan(\phi) = \frac{opposite}{hypotenuse}$

⇒ $tan(\phi) = \frac{324}{54}$

⇒ $(\phi) = tan^-^1(\frac{324}{54})$

⇒ $\phi=80.53$

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0

3 years ago

What is the surface area of the figure shown? (Use 3.14 for π.)

Ivanshal [37]

We know that
Part 1)
[surface area of a cone without base]=<span>π*r*l
r=3 in
l=slant height ----> 6 in
</span>[surface area of a cone without base]=π*3*6------> 56.52 in²

[surface area of a cylinder]=π*r²+2*π*r*h------> only one base
r=3 in
h=5 in
[surface area of a cylinder]=π*r²+2*π*r*h
[surface area of a cylinder]=π*3²+2*π*3*5-----> 122.46 in²

[surface area of the composite figure]=56.52+122.46-----> 178.98 in²

the answer Part A) is
178.98 in²

Part B)
[surface area of the composite figure]
=12*16+2*12*7+2*16*7+5*12+5*16+13*16----> 932 ft²

the answer Part B) is
932 ft²

4 0

4 years ago