A cone with a height of 50 meters has a volume of 5,400pie meters cubed. What is the radius of the cone?

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides

Lyrx [107]

Answer:

$16\frac{2}{3}$ cm

Step-by-step explanation:

Given dimensions:

$3\frac{1}{6}$ cm by $4\frac{2}{3}$ cm by $5\frac{2}{3}$ cm

The total length:

it is the sum of all the sides;

$\frac{19}{6} + \frac{14}{3} + \frac{17}{3}$

LCM of the denominators = 6 ;

$\frac{38 + 28 + 34}{6}$ = $\frac{100}{6}$

= $\frac{50}{3}$

= $16\frac{2}{3}$ cm

5 0

2 years ago

A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of

valentina_108 [34]

Correct option D) $(0.035)m = 22.40$ .

Step-by-step explanation:

Here we have , A prepaid phone card has a balance of $22.40 remaining. Given that it costs $0.035 per minute . We need to find an equation represents the number of minutes, m, you may talk using the card . Let's find out :

Total balance = $22.40

It costs $0.035 for one minute of call . Let's suppose that with balance $22.40 we can talk for m minutes . So equation will be :

⇒ $(0.035)m = 22.40$

⇒ $\frac{(0.035)m}{0.035} = \frac{22.40}{0.035}$

⇒ $m= \frac{22.40}{0.035}$

Therefore , an equation represents the number of minutes, m, you may talk using the card is $(0.035)m = 22.40$ . Correct option D) $(0.035)m = 22.40$ .

6 0

2 years ago

1. Find the derivative of <img src="https://tex.z-dn.net/?f=f%28x%29%3D6%2Fx" id="TexFormula1" title="f(x)=6/x" alt="f(x)=6/x" a

Slav-nsk [51]

1) Answer: $-\frac{3}{2}$

Step-by-step explanation:

f(x) = 6x⁻¹

f'(x) = -6x⁻²

= $\frac{-6}{x^{2}}$

f'(-2) = $\frac{-6}{(-2)^{2}}$

= $-\frac{6}{4}$

= $-\frac{3}{2}$

*****************************************************

2) Answer: $\frac{1}{4}$

Step-by-step explanation:

f(x) = -9x⁻¹

f'(x) = 9x⁻²

= $\frac{9}{x^{2}}$

f'(6) = $\frac{9}{(6)^{2}}$

= $\frac{9}{36}$

= $\frac{1}{4}$

8 0

2 years ago

You want to borrow money to open your own frozen yogurt shop you borrow $13,000 and agreed to take over 4 years at a simple inte

REY [17]

I = Prt
.. = 13,000*.15*4
.. = 7800

A) You will pay $7,800 in interest after 4 years.

B) You pay back the principal plus the interest.
.. $13,000 +7,800 = $20,800

8 0

3 years ago

Read 2 more answers

Solve this system by elimination 10x+6y=14 -x-6y=-23

ludmilkaskok [199]

Answer:

(-1, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

Add 2 equations together: 9x = -9
Divide 9 on both sides: x = -1

Step 3: Solve for y

Define original equation: -x - 6y = -23
Substitute in x: -(-1) - 6y = -23
Multiply: 1 - 6y = -23
Subtract 1 on both sides: -6y = -24
Divide -6 on both sides: y = 4

8 0

2 years ago