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
Naddika [18.5K]
3 years ago
14

this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y

ou​

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

  1. r = 3V/(2πh²)
  2. h = 3V/b²
  3. r = 25/π cm ≈ 7.9577 cm
  4. w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}

__

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}

__

3. Solve the circumference formula for r, then substitute the given information.

C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}

__

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

You might be interested in
What is 11.1 divided by <br> 9.25
expeople1 [14]

Answer:

1.2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
At one particular store, the sale price, s, is always 75% of the display price, d
sattari [20]

Answer:

0.75d

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

At one particular store, the sale price, s, is always 75% of the display price, d

d is the display price

%75 they are always off

d*%75

d * 0.75

<em>0.75d</em>

<em />

Answer:  0.75d

5 0
3 years ago
-3x-12&gt;8x+21 please help 30 points!!!!!!!!!!!!!!
hram777 [196]
-3x-12> 8x + 21
+12 +12
-3x > 8x + 33
-8x -8x

-11x > 33
————-
-11

x < -3

I moved the real numbers to one side and and the variable to the other side to solve for the inequality

I also remembered somewhere that if you divide by a negative number the inequality sign switches.
6 0
3 years ago
Which of the following could be points on the unit circle
Ratling [72]

I am pretty sure your answers are C and D my friend..

5 0
3 years ago
What number come next 1 4 9 16 25 36​
bearhunter [10]
Explained
Jenenjs
Nansjn
Jsnsjj
Jsns. 46 is a so

43
6 0
3 years ago
Other questions:
  • Please Help With this question
    10·1 answer
  • Is 6,000 g bigger than 6kg
    13·2 answers
  • Okay here we go again <br><br><br>number 8 does not have to be done ​
    9·1 answer
  • Solve the quadratic equation.
    13·2 answers
  • The equation y = 0.25x + 50 gives the cost y of renting a car if the car is driven x miles
    12·2 answers
  • The length of a rectangular garden is 8 feet longer than its width. the garden's perimeter is 184 feet. find the length of the g
    9·1 answer
  • Please help me with the picture attached I am so confused :(
    10·2 answers
  • Answer part A, B and part C correctly please.
    8·2 answers
  • An engineer wants to know if the average amount of energy used in his factory per day has changed since last year. The factory u
    11·1 answer
  • FIND THE VALUE OF X ANSWER ASAP 100 POINT QUESTION
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!