What is the radius of this cone ? V=16cm3 and 12 cm

Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

Distribute

7h - 15h +40 = 72

Combine like terms

-8h +40 = 72

Subtract 40 from each side

-8h+40-40 = 72-40

-8h = 32

Divide each side by -8

-8h/-8 = -32/-8

h = -4

Steps:

Step 1: Simplify both sides of the equation.

7h−5(3h−8)=72

7h+(−5)(3h)+(−5)(−8)=72(Distribute)

7h+−15h+40=72

(7h+−15h)+(40)=72(Combine Like Terms)

−8h+40=72 −8h+40=72

Step 2: Subtract 40 from both sides.

−8h+40−40=72−40

−8h=32

Step 3: Divide both sides by -8

Answer:  h=−4

The answer for this question is h=-4

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Hope this helps.

Answer :

Answer:

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Answer:

The answer is 1800!

Step-by-step explanation:

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!

Answer:

213.69 units

Step-by-step explanation:

We have to first find the height of the cone.

We can use Pythagoras rule because the slant height, height and radius of a cone all form a right angled triangle:

[tex]h^2 = a^2 + b^2[/tex]

where h = hypotenuse

a and b = the other two sides of the triangle

The radius is 4 units and the slant height is 13 units:

[tex]13^2 = a^2 + 4^2\\\\169 = a^2 + 16\\\\a^2 = 169 - 16 = 153\\\\a = \sqrt{153}\\\\a = 12.37units[/tex]

The height of the cone is 12.37 units.

The surface area of a cone is given as:

SA = [tex]\pi r (r + \sqrt{h^2 + r^2} )[/tex]

[tex]SA = \pi * 4(4 + \sqrt{12.37^2 + 4^2} )\\\\SA = 12.57(4 + \sqrt{13^2} )\\SA = 12.57 (4 + 13)\\\\SA = 12.57(17)\\\\SA = 213.69 units[/tex]

The surface area of the cone is 213.69 units.

Answer:

0.46 m

Step-by-step explanation:

area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2

20% of this area is 20% * 96 m^2 = 19.2 m^2

The area of the border is 19.2 m^2.

Let the path around the desks have width x.

The area of desks plus path is a rectangle 2x + 8 by 2x + 12.

area of desks plus path = (2x + 8)(2x + 12)

= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96

The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.

area of border = (4x^2 + 40x + 96) - (96) =

= 4x^2 + 40x

Above, we have the area of border = 19.2, so we get this equation:

4x^2 + 40x = 19.2

4x^2 + 40x - 19.2 = 0

x^2 + 10x - 4.8 = 0

We now use the quadratic formula to solve the equation for x.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{119.2 )}{2} [/tex]

[tex] x = 0.46 [/tex]  or  [tex] x = -10.46 [/tex]

We discard the negative solution.

Answer: the border is 0.46 m wide.

Answer:

$550+/-$20.79

= ( $529.21, $570.79)

Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $550

Standard deviation r = $75

Number of samples n = 50

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

$550+/-1.96($75/√50)

$550+/-1.96($10.60660171779)

$550+/-$20.7889393668

$550+/-$20.79

= ( $529.21, $570.79)

Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)

Answer:

-40

Step-by-step explanation:

-20-(-5)*(-2^2)

- and a - = positive

-2^2 = -4 but if it was (-2)^2 then it would be 4

-20+5*(-4)

order of operations

-20-20

-40

hope this helps

Answer:

see below

Step-by-step explanation:

$36/4oz  = $9 per oz

24/3oz = $ 8 per oz

$20/2oz  = # 10 per oz

Answer:

[tex]x=\frac{5y-3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2x+3}{5} =y[/tex]

[tex]2x+3=5y[/tex]

[tex]2x=5y-3[/tex]

[tex]x=\frac{5y-3}{2}[/tex]

The equation for x in terms of y is x=(5y-3)/2.

The given equation is y=(2x+3)/5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now the given equation can be rearrange to make x the subject as follows:

Cross multiply 5 to y.

That is, 2x+3=5y

⇒ 5y-3=2x

⇒ x=(5y-3)/2

Therefore, the equation for x in terms of y is x=(5y-3)/2.

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Answer:

34

Step-by-step explanation

1- 4

2- 4(2) - 2 = 6

3- 6(2) - 2 = 10

4- 10(2) - 2 = 18

5- 18(2) -2 = 34

Answer:

C.

Step-by-step explanation:

If you are distributing, you must distribute the outside to both terms in the inside.

Answer:

[tex]m\angle B=52^{\circ}[/tex]

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

[tex]\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}[/tex]

Answer:

56 :)

Step-by-step explanation:

Answer:

By repeated subtraction.

Step-by-step explanation:

It is pretty much the same thing as division, but in subtraction. Since, Dividing and Subtraction are a like, repeated subtraction is a great example to use for this example

Hope this helps. :)

Answer:

kk so like, division is just repeated subtraction. like idk say you have 36 and you divide it by 9 so I think you just keep subtracting 9 until you reach 0? so you end up subtracting 9 four times which happens to be the quotient for 36/9. yeah. it's almost like how multiplication is just repeated addition.

Option D( X=15)

Solution,

2x=15+x

or, 2x-x=15

X=15

hope it helps...

Good luck on your assignment...

Answer:

[tex]x = 15[/tex]

Step-by-step explanation:

[tex]2x = 15 + x \\ 2x - x = 15 \\ x = 15[/tex]

Answer D is correct

Steps:

Step 1: Simplify both sides of the equation.

3(a−2/3)=3/4a+21/4

(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)

3a+−2=34a+2143a−2=3/4a+21/4

3a+−2=34a+2143a−2=3/4a+21/4

Step 2: Subtract 3/4a from both sides.

3a−2−3/4a=3/4a+21/4−3/4a

9/4a−2=21/4

Step 3: Add 2 to both sides.

9/4a−2+2=21/4+2

9/4a=29/4

Step 4: Multiply both sides by 4/9.

(4/9)*(9/4a)=(4/9)*(29/4)

Answer:

A=29/9

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Hope this helps.

Answer:

10

Step-by-step explanation:

10x^2y^-2

10(-1)^2(-2)^2=10

Answer:

Step-by-step explanation:

The hemisphere will have its greatest radius along the diagonal of the cube it was surmounted on. The base of the cubical block will be square in nature. Since a cube has all its sides equal, we can find the length of its diagonal using pythagoras theorem as shown.

[tex]hyp^{2} = adj^{2} +opp^{2}[/tex]

Note that the diagonal will be the hypotenuse of the square face which is the longest sides.

Given adjacent = 14cm and opposite = 14cm

[tex]hyp^{2} = 14^{2} +14^{2}\\hyp = \sqrt{196+196} \\hyp = \sqrt{392} \\hyp = 19.8cm[/tex]

The diagonal of the base of the cube is 19.8cm which is equivalent to the greatest diameter of the sphere.

The greatest radius that the hemisphere can have = 19.8/2 = 9.9cm

Drawing diagrams

Circles

Cubes

Let's draw a figure to supplement a visual image to further understand what we need to find. Please refer to the attached image for reference. Please excuse the poor handwriting/drawing. It is also not to scale.

We know that there is a cubical block w/ side measurements of 14 cm. "Surrmounted" means on top. So a hemisphere (half of a sphere) is on top of our block.

If we take a look at our geometrical shape from the top-down angle, we can see that the top would just look like a circle within a square, as depicted in blue.

Labeling our measurements, we can see that the length, width, and height of our cubical block are equal to 14 cm due to the definition of a cube. This extends to the definition of a square as well, so the length and width of our square are also equal to 14 cm.

With the side of the square equal to 14 cm, we know that this is equal to the circle's diameter. So d = 14 cm. We can solve for the radius of the circle/hemisphere by substituting it into the radius formula:

[tex]\begin{aligned}r & = \frac{d}{2} \\& = \frac{14 \ \text{cm}}{2} \\& = \boxed{ 7 \ \text{cm}} \\\end{aligned}[/tex]

∴ the greatest radius that the hemisphere can have is equal to 7 cm. Any r > 7 cm would result in the hemisphere being over the edge of the cube.

___

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___

Topic: Geometry

Unit: Composition of Geometrical Shapes

Answer:

So first lets find g(-1)

so we plug in the answers:

-2 * -1 ^2 -4

-2*1-4 = -2-4 =

-6

Now lets solve for f(-2)

-2^2-3

4-3=1

-6+1 = 5

3*5 = 15

Im getting answer of 15 but it shows -15 or something, so I dont know if I got it wrong or if its like a dash then the answer.

Answer:

1/8

Step-by-step explanation:

1/2= 4(1/2) = 4/8

4/8+3/8= 7/8

7/8 + 1/8 = 1

Answer: a=4

Step-by-step explanation:

Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).

Por pitagoras entonces:

[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]

Answer:

17

Step-by-step explanation:

Use ratio method

98:2

850:x

so, x = (850 x 2) divided by 98 = 17.3469388

Round it to nearest whole number = 17

Answer:

2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4

0.25 in = 1 ft

0.25 * 8 = 2 in

0.25 * 12 = 3 in  

2 in by 3 in

Answer: 2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in

B and D

Step-by-step explanation:

I'm pretty sure its B because an acute angel measure less than 90°

Answer:

x=8

Step-by-step explanation:

Area of a rectangle=length×width

Area=104

Width=x

Length=5+x

104=x*(5+x)

104=5x+x^2

104-5x-x^2=0

x^2+5x-104=0

Can also be written as

-x^2-5x+104=0

Solve the quadratic equation using formula

−x2−5x+104=0

using the Quadratic Formula where

a = -1, b = -5, and c = 104

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(104)/2(−1)

x=5±√25−(−416)/−2

x=5±√441/−2

The discriminant b^2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=5±21/−2

x=-26/2 or 16/2

x=-13 or 8

The value of x can't be negative

So, x=8 is the answer

Answer:

33k - 15

Step-by-step explanation:

8k-5(-5k+3)

Distribute

8k +25k -15

Combine like terms

33k - 15

_______________________________

Solution,

8k-5(-5k+3)

= 8k+25k-15

=33k-15

hope it helps..

Good luck on your assignment

_____________________________

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}[/tex]

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

Answer:

  a.  Simulation

Step-by-step explanation:

A computer model is generally a simulation of the real world. Certainly, a model of Earth's climate is a simulation.

__

In some cases, the data of interest is the performance of the computer itself (as opposed to some system outside the computer). In those cases, the running of the computer under different scenarios might be considered an experiment.

The fraction (13/10) can be used as the multiplier to find the length of the new side.

Suppose the length of the side of a square is x.

The new length of the side of the square after an increment of 30%

= x+ (30% of x).

The percentage is the value per hundred.

So, 30% of x = 30*x/100 =0.3x

So, new length of the side = x+0.3x =1.3x

We can represent 1.3x as (13/10)x

This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.

Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.

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Answer:

4:3

Step-by-step explanation:

240:180=

60(4):60(3)=

4:3

Hope this helps!

Answer:

4:3

Step-by-step explanation:

24:18

4:3

Answer:

Initial Fee is $2.

Step-by-step explanation: