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3 years ago

HELP HELP HELP PLEASE ASAP

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

0.37 feet.

Step-by-step explanation:

The following data were obtained from the question:

Volume (V) = 4100 ft³

Height (h) = 1.8 miles

Radius (r) =?

Next, we shall convert 1.8 miles to foot.

This can be obtained as follow:

Recall:

1 mile = 5280 ft

Therefore,

1.8 miles = 1.8 × 5280 = 9504 ft

Finally, we determine the radius as follow:

Volume (V) = 4100 ft³

Height (h) = 9504 ft

Pi (π) = 3.14

Radius (r) =?

V = πr²h

4100 = 3.14 × r² × 9504

4100 = r² × 29842.56

Divide both side by 29842.56

r² = 4100/29842.56

Take the square root of both side

r = √(4100/29842.56)

r = 0.37 ft

Therefore, the radius of the hole is 0.37 feet.

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What is the converse for this conditional statement? Is the converse true?

babunello [35]

The converse would be, If a number is divisible by 2, then it is even.

The converse is true. Thus, you would be able to make a biconditional stament with this information.

4 0

3 years ago

Please can someone help me with this

Eduardwww [97]

Answer:

$\boxed{V = 434.9 \ cm^3 }$

Step-by-step explanation:

Volume of Sphere = $\frac{4}{3} \pi r^3$

Where r = 4.7 cm

V = $\frac{4}{3} (3.14)(4.7)^3$

V = $\frac{4}{3} (3.14)(103.8)$

V = $\frac{1304.7}{3}$

V = 434.9 cm³ (Up to 1 dp)

4 0

4 years ago

Read 2 more answers

SUPER EASY WILL GIVE BRAINLEIST IF DONE BEFORE 10 PM PLS HURRY. IF U HAVE TIME PLS HELP ME ON OTHER QUESTIONS THANK YOU <3

neonofarm [45]

Answer:

4. 17

5. 28

Step-by-step explanation:

4. This shape can be broken up into a square and two identical triangles.

The area of a square is A=S*S

The side length of the square is 3

So the area of the square is:

A = 3 * 3

A = 9

The area of the triangle is A=(1/2)B*H

The height is 4 and the base is 2

So the area of the triangle is:

A =(1/2) * 2 * 4

A= 4

To get the total area we add the values. Since there are two triangles, we will add the triangle area twice.

So the total area is

A = 9 + 4 + 4

A = 17

The area is 17.

5. We can split the shape into two triangles and calculate the area like that.

Remember the area of a rectangle is

A = L*W

Area of the first triangle is

A = 4 * 5

A = 20

The area of the second triangle is

A = 4 * 2

A = 8

So the total area is 28

I dont feel like doing the rest of the problems, but the process is similar.

7 0

4 years ago

An ellipse has vertices at (0, #17) and foci at (0, ±15). Write the equation of the ellipse in standard form. Graph the ellipse.

Lunna [17]

<u>ANSWER</u>

$\frac{ {x}^{2} }{ 64 } + \frac{ {y}^{2} }{ 289 } = 1$

See attachment for the graph

<u>EXPLANATION</u>

The standard equation of the vertical ellipse with center at the origin is given by

$\frac{ {x}^{2} }{ {b}^{2} } + \frac{ {y}^{2} }{ {a}^{2} } = 1$

where

${a}^{2} \: > \: {b}^{2}$

The ellipse has its vertices at (0,±17).

This implies that:a=±17 or a²=289

The foci are located at (0,±15).

This implies that:c=±15 or c²=225

We use the following relation to find the value of b²

${a}^{2} - {b}^{2} = {c}^{2}$

$\implies \: 289 - {b}^{2} = 225$

$- {b}^{2} = 225 - 289$

$- {b}^{2} = - 64$

${b}^{2} = 64$

We substitute into the formula for the standard equation to get:

$\frac{ {x}^{2} }{ 64 } + \frac{ {y}^{2} }{ 289 } = 1$

4 0

3 years ago

Christina is saving money to buy a bike that cost 189 he saves 99 so far he plans on saving $10 each week and how many weeks wil

Alisiya [41]

Answer:

9 weeks

Step-by-step explanation: you add 10 until you get 189 then you count how many times you added 10

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3 years ago