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
ddd [48]
3 years ago
13

The radius of a cylindrical gift box is ​(4x + 1​) inches. The height of the gift box is three times the radius. What is the sur

face area of the​ cylinder? Write your answer as a polynomial in standard form.
Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer:

S = 128πx² + 64πx + 8π

Step-by-step explanation:

Suraface area of a cylinder is given by:

S = 2πrh + 2πr²

We know that the height is 3 times as big as the radius, hence:

h = 3r

so we can plug in the new h value and rewrite the S equation as:

S = 2πrh + 2πr²

S = 2πr(3r) + 2πr²

S = 6πr² + 2πr²

S = 8πr²

We're given in the question that the radius is ​(4x + 1​) inches, so plug that into r.

Given: r = 4x + 1​

Therefore,

S = 8πr²

S = 8π(4x + 1​)²

S = 8π(16x²+8x+1)

S = 128πx² + 64πx + 8π

Anastaziya [24]3 years ago
4 0

Answer:

The answer to your question is 128πx² + 64πx + 8π

Step-by-step explanation:

Data

radius = (4x + 1)

height = 3(4x + 1)

Formula

Area = 2πrh + 2πr²

Substitution

Area = 2π(4x + 1)(3)(4x + 1) + 2π(4x + 1)

Simplification

Area = 6π(4x + 1)² + 2π(4x + 1)²

Area = 6π(16x² + 8x + 1) + 2π(16x² + 8x + 1)²

Area = 96πx² + 48πx + 6π + 32πx² + 16πx + 2π

Area = 128πx² + 64πx + 8π

You might be interested in
COMPLETING THE SQUARE<br> X^2– 2x +
Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 ,  b = -2,  c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1  this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

6 0
3 years ago
A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the wate
sasho [114]

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

8 0
3 years ago
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris'
stich3 [128]

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

5 0
2 years ago
Please help! 10 points, thank you
Tpy6a [65]

Answer:

261.5 ft^2

Step-by-step explanation:

Surface Area of a rectangular prism = Length x Width x Height

= 8.5ft x 6ft x 5.5ft

= 261.5 ft

5 0
3 years ago
HELP PLEASE ILL GIVE YOU BRAINLIST !! I DONT UNDERSTAND IT .
inn [45]

Step-by-step explanation:

35 + 35 = 70

180 - 70 = 110

180 - 110 = 70

70  + 70 = 140

180 - 140 = 40

so the answer is 40

7 0
3 years ago
Other questions:
  • 3. A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
    7·2 answers
  • How do you use the keyboard on the computer to write exponents and other algebraic symbols
    10·1 answer
  • Moriah pays $25 to join a lunch club that allows her to buy fancy lunches for $5 each. Let L represent the number of lunches she
    13·1 answer
  • Solve for e. T=e29<br><br><br> ​​ e=±3T√T<br><br> e=±3T<br><br> e=±3T√<br><br> ​ e=±9T√ ​
    10·1 answer
  • Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)
    11·1 answer
  • 10a^2b^0 for a=–3, b=–8
    10·2 answers
  • A. 22.59<br> B. 14.34<br> C. 20.48<br> D. 10.70
    12·1 answer
  • 9y - 3 (if y = 10)..
    10·2 answers
  • Subtracting fractions
    9·2 answers
  • The sum of two numbers is 35. One number is 7 less than the other. Find the numbers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!