All categories

3 years ago

Write the expression in radical form (54x) 2/3

Mathematics

1 answer:

Minchanka [31]3 years ago

3 0

$(54x)^{\frac{2}{3}}=\sqrt[3]{(54x)^2}=\sqrt[3]{2916x^2}\\\\
\textbf{In\ radical\ form}:\ \ \sqrt[3]{2916x^2}.$

You might be interested in

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

3 years ago

Can someone please help me???

olganol [36]

Answer:

1. 60000.12

2. 54000.15

3. 9600.48

4. 3840.48

Step-by-step explanation:

I really hope this helps and may I receive brainliest please

7 0

3 years ago

Solve the following equation using the distributive property

Elanso [62]

Answer:

the awnser is either a or c

Step-by-step explanation:

i hope my awnser helps

7 0

3 years ago

A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty

Diano4ka-milaya [45]

The absolute value equation representing the length of the nail is :

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

actual length - allowable variation

$1 - \frac{1}{32} = \frac{31}{32}$

The maximum allowable length :

Actual length + allowable variation

$1 + \frac{1}{32} = 1 \frac{1}{32}$

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches

Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

Learn more : brainly.com/question/24656203

7 0

3 years ago

Please help me ASAP

Serggg [28]

The class 4S because you divide each number by its mean mark and standard division and 4S is the highest.

5 0

3 years ago