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MariettaO [177]

2 years ago

5

Find the volume of the cone. Use 3.14 for π.A. 24 cubic cmB. 25.12 cubic cmC. 75.36 cubic cmD. 226.08 cubic cm

1 answer:

juin [17]2 years ago

4 0

Given:

The radius of the base = 3 cm

The height of the cone = 8cm

To find:

The volume of the cone

Step-by-step solution:

The volume of the cone = 1/3 × πr²h

The volume of the cone = 1/3 × 3.14 × (3)² × 8

The volume of the cone = 3.14 × 3 × 8

The volume of the cone = 75.36 cm³

Thus we can s

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Solve image below:

ludmilkaskok [199]

Answer: $x=\frac{6}{-3y+8}$

Step-by-Step Explanation:

Let's solve for $x$ .

$\frac{x-2}{3y-5} =\frac{x}{3}$

Step 1: Multiply both sides by $3y-5$ .

$x-2=\frac{3xy-5x}{3}$

Step 2: Multiply both sides by $3$ .

$3x-6=3xy-5x$

Step 3: Add $-3xy$ to both sides.

$3x-6+-3xy=3xy-5x+-3xy$

$-3xy+3x-6=-5x$

Step 4: Add $5x$ to both sides.

$-3xy+3x-6+5x=-5x+5x$

$-3xy+8x-6=0$

Step 5: Add $6$ to both sides.

$-3xy+8x-6+6=0+6$

$-3xy+8x=6$

Step 6: Factor out variable $x$ .

$x(-3y+8)=6$

Step 7: Divide both sides by $-3y+8$ .

$\frac{x(-3y+8)}{-3y+8}=\frac{6}{y-3y+8}$

$x=\frac{6}{-3y+8}$

Answer:

$x=\frac{6}{-3y+8}$

4 0

3 years ago

P=2a+b+c solve for c

Harman [31]

P = 2a + b + c

Subtract 2a + b on both sides

c = P - (2a+b)
c = P - 2a - b

Hope that helps :)

4 0

4 years ago

The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

GarryVolchara [31]

Answer:

$\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height$

Given:

area = 18 cm²
base = 6 cm
height = (h + 1) cm

Substitute the given values into the equation and solve for h:

$\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)$

$\sf \implies 18 = \sf \dfrac62 (h+1)$

$\sf \implies 18 =3(h+1)$

expand using distributive property of addition $a(b+c)=ab+ac$ :

$\sf \implies 18=3h+3$

subtract 3 from both sides:

$\sf \implies 3h=15$

divide both sides by 3:

$\sf \implies h=5$

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

3 0

2 years ago

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Find the horizontal asymptote of the graph

sleet_krkn [62]

$y = - \frac{1}{2}$

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4 years ago

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What square root expression represents the golden ratio?

Juli2301 [7.4K]

I believe the phi ratio^2 = 1 + phi ratio
phi ratio = 1.6180339
phi ratio^2 = 2.6180339

4 0

3 years ago