1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lostsunrise [7]
3 years ago
12

Find the value. * if y3 = 30 and z= 10, what is the value of (yz) 12?

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

y^3 =30

y= (30)^(1/3) ------(1)

z=10 -------(2) -----(2)

From (1) and (2);

(y * z)^12 = (y)^12  * (z)^12

           =  ((30)^(1/3))^12  * (10)^12

           = (30)^(12/3)*  (10)^12

           =  (30)^(4) * (10)^12

           = 810 000  * (10)^12

           = 81 * (10)^16

Step-by-step explanation:

You might be interested in
The intersection of two lines can be a line segment. true false​
luda_lava [24]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
If the hemisphers has a radius of 3 feet, how many cubic feet of water can the water tank hold?
Eduardwww [97]

Answer:

volume \ of \ hemisphere = \frac{2}{3} \pi r^3 = \frac{2}{3}\pi \cdot (3)^3  = \frac{2}{3} \pi 27 = 2\pi \cdot9 = 18\pi cubicfeet

8 0
3 years ago
The volume of Pyramid A is 704 cm3 and the volume of Pyramid B is 297 cm3. If the pyramids are similar and the surface area of P
SIZIF [17.4K]

Answer:

272 cm²

Step-by-step explanation:

Step 1

We have to find the scale factor

When given the volume of two solids, the formula for the scale factor is

V1/V2 = (Scale factor)³

The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³

V1 = Pyramid A

V2 = Pyramid B

704/297 = (scale factor)³

We simplify the left hand side to simplest fraction

The greatest common factor of 704 and 297 = 11

704÷11/297÷11 = (scale factor)³

64/27 = (scale factor)³

We cube root both sides

cube root(scale factor)³ = cube root (64/27)

scale factor = (4/3)

Step 2

(Scale factor)² = S1/S2

S1 = Surface area of Pyramid A =?

S2 = Surface area of Pyramid B = 153 cm²

Hence,

(4/3)² = S1/153

16/9 = S1/153

Cross Multiply

S1 × 9 = 16 × 153

S1 = 16 × 153/9

S1 = 272 cm²

Therefore, the Surface Area of Pyramid A = 272 cm²

4 0
3 years ago
Ana has a poster board in the shape of a rectangle. she draws 1 line to cut the poster into 2 new shapes. The 2 new shapes have
Lena [83]
You will draw the line from one corner to the other side. Like the picture I uploaded.

7 0
3 years ago
What is the answer of the next equation?3(n-6)=27
pychu [463]

Answer:

n = 15

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:     3*(n-6)-(27)=0

Pull out like factors :      3n - 45  =   3 • (n - 15)

Then:   3 • (n - 15)  = 0  

It's pretty easy from there, good luck!

7 0
4 years ago
Other questions:
  • 10 cards are numbered from 1 to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then
    5·1 answer
  • The triangular prism shown has triangular _____face(s) and lateral face(s).
    7·1 answer
  • What is the verbal expression for 3x^2
    14·2 answers
  • The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:
    13·1 answer
  • The data for table 9.1 will be obtained from…………………?
    5·1 answer
  • Drag and drop the descriptions in the box that correctly classifies the angle pairs. You may use multiple responses in the boxes
    7·1 answer
  • Help i don’t know what to do here!
    13·1 answer
  • Minutes spent on home work: 18 20 22 11 19 18 18
    12·1 answer
  • Solve these<br><br><br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%2B%206" id="TexFormula1" title=" {x
    12·2 answers
  • I need help with this question (3x56-7+76)/99=
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!