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
Neporo4naja [7]
3 years ago
6

Write an equation for the statement. Then, solve the equation:

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

You might be interested in
The graph of f(x) = x+ was transformed to create the graph of g(x) = f(x) - 9.
Ludmilka [50]

Answer:

Step-by-step explanation:

A

3 0
2 years ago
Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

= 32 +4 + 20 - 1

= 55 = Remainder

Hence, Remainder is 55.

8 0
3 years ago
Tell whether it is possible to draw a figure with the given description.
sesenic [268]

Answer:

<h2>in my opinion it is not possible </h2>

Step-by-step explanation:

hope it helps you have a good day

3 0
3 years ago
A large helium balloon is tethered to the ground by two cables. One cable is 100 feet long and forms an 80 degree angle with the
liraira [26]

Hey there :)

Answer attached in image. Check!

~Benjemin360

6 0
2 years ago
Use the method of completing the square to solve x2 – 8x + 7 = 0. A. x = –5 and x = 13 B. x = 1 and x = 7 C. x = 0 and x = 8 D.
Stolb23 [73]

Answer:

the answe is b (1,7)

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

x

=

7,1

5 0
3 years ago
Other questions:
  • Adrian made the cakes shown below for a 3 cakes at the party Adrian will serve each guest 1/8 of a cake what is the greatest num
    6·1 answer
  • Pediatricians prescribe 5mL of cough syrup for every 25lb of a child's weight. How many mililiters of cough syrup will the docto
    13·1 answer
  • an astronaut weight 174 pounds on earth and 29 pounds on the moon, if his daughter weights 108 pounds on earth what is the daugh
    8·1 answer
  • BRAINLIEST AND 20 POINTS
    11·2 answers
  • PLEASE HELP RIGHT AWAY!!
    14·1 answer
  • Find the balance in an account with $4,250 principal earning 3% interest compounded quarterly after 12 years. Round your answer
    8·1 answer
  • Find the distance between the pair of points and then round your answer to the nearest tenth.
    14·1 answer
  • Help!!!!!111! (picture shown) Math.... Help fast
    10·1 answer
  • I got 40% off when I purchased a set of golf balls regularly priced at $20. How<br> much did I save?
    6·1 answer
  • The line plot below gives the number of cups of flour used in different recipes.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!