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3 years ago

Find the difference of the LCM and the GCF of 12 & 32

Mathematics

1 answer:

larisa [96]3 years ago

7 0

Answer:

Step-by-step explanation:

LCM = 96

12 = 4×3

32 = 4 × 8

then GCF = 4

LCM - GCF = 96 - 4 = 92

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Someone please please..help me I don’t want to fail this..

Arada [10]

Step-by-step explanation:

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6 0

3 years ago

Surface Area of the pyramid

hichkok12 [17]

Answer:

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0

1 year ago

Help me I will mark brainliest ....

ser-zykov [4K]

Answer:

1 1/2 eggs

1/2 almond paste

1/8 vanilla

3/8 sugar

Step-by-step explanation:

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2 years ago

Which expression represents the inverse of the function f(x)=4x

Anton [14]

Answer:

$f^{-1}$ (x) = $\frac{x}{4\\}$

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 4x ( divide both sides by 4 )

x = $\frac{y}{4}$

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x}{4\\}$

4 0

3 years ago

What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

erastovalidia [21]

Answer:

The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

Step-by-step explanation:

Dimension of cylinder A,

Radius is 3 units and height is 4 units.

Dimension of cylinder B,

Radius is 5 units and height is 2 units.

The volume of a cylinder is given by :

$V=\pi r^2 h$

For cylinder A to B,

$\dfrac{V_A}{V_B}=(\dfrac{r_A}{r_B})^2\times \dfrac{h_A}{h_B}\\\\\dfrac{V_A}{V_B}=(\dfrac{3}{5})^2\times \dfrac{4}{2}\\\\\dfrac{V_A}{V_B}= \dfrac{18}{25}$

So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

3 0

3 years ago