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
MrRissso [65]
3 years ago
12

Write a formula for the function and use the formula to find the indicated value of the function. A) The surface S of a cube as

a function of the length of the cube's edge e; the surface area of edge length 5ft. B) the volume V of a sphere as a function of the sphere's radius r; the volume of the sphere of radius 3cm.
Mathematics
1 answer:
vazorg [7]3 years ago
8 0
A )  S = 6 e²
e = 5 ft
S = 6 · 5² = 6 · 25 = 150 ft²
B ) V = 4 r² π
r = 3 cm
V = 4 · 3² π = 4 · 9 π = 36 π cm³ 
You might be interested in
(GEOMETRY)Lian is making a banner for the school gym. She cut three pieces of fabric into congruent isosceles triangles, as show
oksano4ka [1.4K]
It is seen in the figure given that there are three triangles with sides equal to a = 17 inches, b = 17 inches, and c = 20.5. Our angle c is the angle opposite side c and that is 74°. Using the equation given in the question, 
                         A of triangle = ((17 in)(17 in)(sin 74°))(1/2)
                                            = 138.9 in²
Then, we multiply this area by 3 since there are 3 triangles. 
                          total area = (138.9 in²)(3) = 416.7 in²
The area of the figure is most approximately equal to 417 in².
8 0
3 years ago
Read 2 more answers
Expand $(x+1)(x^{2}+1)(x-1)$. What is the sum of the coefficients of the resulting expression?
defon

Answer:

0

Step-by-step explanation:

Hello, please consider the following.

For any a and b real numbers we can write.

(a-b)(a+b)=a^2-b^2

We apply this formula two times here, as below.

(x+1)(x^{2}+1)(x-1)=(x+1)(x-1)(x^{2}+1)\\\\=(x^2-1^2)(x^2+1)=(x^2-1)(x^2+1)\\\\=(x^2)^2-1^2=x^4-1

We have the coefficient of 1 for x^4 and the constant term is -1, so the sum of the coefficients is 0.

Thank you.

8 0
3 years ago
Read 2 more answers
If f(x) = x^2 + 8x – 2 and f(0), then the result is:<br><br> -2.<br> 0.<br> 8.
Anastasy [175]

Answer:

-2.

Step-by-step explanation:

f(0) = 0^2 + 8(0) - 2

= -2.

5 0
3 years ago
Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. Th
Oksanka [162]

discount = price times % off

 discount = 22.50 x 0.20

discount = $4.50



6 0
3 years ago
Read 2 more answers
A right rectangular prism has a length of 8 cm, a width of 3 cm, and a height of 5 cm. What is the surface area of the prism? En
Gennadij [26K]
The surface area is the sum of the area of the six sides...

A=2(xy+xz+yz)

A=2(8*3+8*5+3*5)

A=2(24+40+15)

A=2(79)

A=158 cm^2

6 0
3 years ago
Other questions:
  • Analyze the diagram below and complete the instructions that follow.<br> Find the value of x.
    5·2 answers
  • Please please help or i fail math
    14·2 answers
  • the data represents the heights of fourteen basketball players, in inches. 69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 8
    7·2 answers
  • Find each angle measure in the triangle.
    6·1 answer
  • Find (fog)(x)
    15·1 answer
  • PLZ HELP HELP! im not sure about this
    5·1 answer
  • Find the angle of w please
    10·1 answer
  • Does anyone know the answer?
    12·1 answer
  • NEED HELP ASAP QUESTION IN PHOTO​
    15·1 answer
  • Nadia is paid $700 dollars a week. Her pay is increased by 5%.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!