Representing a Diver's Position
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver's position in relation to
the surface before swimming to the top?
-5.9 feet
0 -5 feet
-58 feet
7
feet

Answer:

(At least) 10 centimeters.

Step-by-step explanation:

The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.

We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.

First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Since the radius is 2.5 cm, the volume of the full ice cream scoop is:

[tex]\displaystyle V=\frac{4}{3}\pi (2.5)^3[/tex]

Use a calculator:

[tex]V\approx 65.4498\text{ cm}^3[/tex]

The volume of a cone is given by:

[tex]\displaystyle V=\frac{1}{3}\pi r^2h[/tex]

The radius of the cone is 2.5 cm. Therefore:

[tex]\displaystyle V=\frac{1}{3}\pi(2.5)^2h=\frac{1}{3}\pi(6.25 h)=\frac{6.25\pi}{3}h[/tex]

The volume of the cone should be equal to the volume of the scoop. So:

[tex]\displaystyle 65.4498=\frac{6.25\pi}{3}h[/tex]

Solve for h:

[tex]\displaystyle h\approx 65.4498\Big(\frac{3}{6.25\pi}\Big)=10\text{ cm}[/tex]

The height of the cone should be (at least) 10 cm.

Answer:

214

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

I don't know much about math but

if u say 5+5= 10

5+10=15

nothing make 18 so

it false

Answer:

2

Step-by-step explanation:

First you find what is in the parentheses

2+7 =9

9-1 = 8

Then find the exponent because on PEMDAS

2 * 2 = 4

Then divide

8 divided by 4 = 2

2 is your answer

Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

Answer:

1)

x= 30

y=15

z=150

2)

x= 10

y=25

Step-by-step explanation:

1)

2x+90+x=180

3x+90=180

x= 90/3=30

2y= x

2y=30

y= 30/2=15

2y+z= 180

30+z= 180

z= 150  

2)

3x= 5x-20

5x-3x=20

x=20/2=10

2y+4y+ (5x-20) = 180

6y+30= 180

y= 150/6= 25

I hope im right!!

Answer:

5.5 Gallons

Step-by-step explanation:

Answer:

B=5.44 i think hopefully

Answer:

Step-by-step explanation: potential energy Ep = mgh

And g = 9.81 m/s². Ep = 0.0008 kg·9.81 m/s²· 22 m , unit is J

Answer:

A

Step-by-step explanation:

Answer:

You are supposed to correct the equation here not solve it.

Answer:

45mm

Step-by-step explanation:

First, find the whole area of the square, which is 225 mm squared.

Then, we have to find the area of the shaded trapezoid. Remember, the area of the trapezoid is [tex]\frac{h(b^{1}+b^{2} }{2}[/tex]

We get the area of the trapezoid to be 180 mm.

We subtract 180 from 225 mm to get 45 mm as our answer.

Answer:

so, if 10 men can do it In 30 days, that means a total of 300 "man days".

300 man days divided by 25 days would be 12- so 2 more men.

Answer:

Step-by-step explanation:

y=4x-1

y-1=4(x-7)

y-1=4x-28

y=4x-27

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

Cone is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

If the volume and radius of a cone are 98 cm and 5.13 cm.

The height of the cone is 3.56 cm.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3πr²h.

Example:

The cone has a radius of 2 cm and a height of 3cm.

The volume of a cone:

= 1/3 x 3.14 x 4 x 3

= 12.56 cm³

We have,

Cone:

Volume = 98 cm

Radius = 5.13 cm

Height of the cone = h

The volume of a cone:

V = 1/3πr²h

98 = 1/3 x π x (5.13)² x h

[ Take π = 3.14 ]

98 = 1/3 x 3.14 x 26.31 x h

Multiply 3 on both sides.

98 x 3 = 3.14 x 26.31 x h

Divide both sides by (3.14 x 26.31).

h = (98 x 3) / (3.14 x 26.31)

h = 294 / 82.61

h = 3.56 cm

Thus,

If the volume and radius of a cone are 98 cm and 5.13 cm.

The height of the cone is 3.56 cm.

Learn more about cones here:

https://brainly.com/question/13798146

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Answer:

Step-by-step explanation:

y - x = -5

y =  x-5

y = 2x² - 3x - 5

x-5 = 2x² - 3x - 5

2x² - 4x = 0

x² - 2x  = 0

x(x - 2) = 0

x = 2, 0

(x,y) = (2,-3), (0,-5)

Answer:

circumference = 194.68

Step-by-step explanation:

c = π2r

c = (3.14)(2)(31) = 194.68

Answer:

Step-by-step explanation:

a = 12 mm

Surface area of cube = 6a²

                                   = 6 * 12 * 12

                                   = 864 cubic mm

Answer:

ΔFGH≅ΔYZX

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

you have to divide 6.50 by 5 to see how much 1 bar will cot

6.50 divided by 5 is 1.3

Answer:

The answer is 7

Step-by-step explanation:

5x+2x=49-2x+2x

7x=49+0

7x/7=49/7

x=7

The number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Five times a number is 49 greater than the product of 2 and the opposite of the number.

Let the number is x:

From the statement "Five times a number is 49 greater than the product of 2 and the opposite of the number" we can frame a linear equation in one variable:

5x + 2x = 49 - 2x + 2x

After solving the above equation:

7x = 49

x = 49/7

x = 7

Thus, the number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.

Learn more about the linear equation here:

brainly.com/question/11897796

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