PLS HELP!!! I WILL GIVE THE FIRST GOOD ANSWER BRAINLIEST!!!

You are making a scale model of the solar system. The radius of Earth is 6378 kilometers. The radius of the Sun is 695,500 kilom

jeka94

Express the radius of the Sun as a proportion to radius of Earth:

695500/6378 = 109.04...

Now if a baseball would represent Earth, the model for Sun would have to be about 110 times larger than a baseball. A baseball is about 3" in diameter, so the model for Sun would have to be about 330" (or 27 feet) in diameter.

The answer should be no it is not reasonable to use baseball as a model for the Earth because the Sun would need to be about the size of a hot air balloon!

5 0

2 years ago

Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units

dmitriy555 [2]

This question is incomplete, the remaining part of the question is upload as an image alongside this answer.

Answer:

Width = 2x = 2( r/√2 ) = √2 r units

Height = 2y = 2( r/√2 ) = √2 r units

Step-by-step explanation:

From the Figure on the image; lets consider the circle of radius r, centered at the origin.

let ABCD be the largest rectangle that can be inscribed inside the circle.

Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,

half height of rectangle y = √(r² - x²)

Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)

thus the area of the inscribed rectangle = length × width

⇒ A(x) = 2x(2√(r² - x²))

⇒ A(x) = 4x√(r² - x²)

now in order to maximize the area, we find critical points.

so we find the derivative and set that zero, that is Ai(x) = 0.

so using product rule, we get

A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²) )

A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²) )

Now for critical points, set A'(x) = 0

so

( -4x² / √(r² - x²) ) + ( 4√(r² - x²) ) = 0

( 4x² / √(r² - x²) ) = ( 4√(r² - x²) )

x² = r² - x²

2x² = r²

x² = r²/2

x = ±√(r²/2)

Now since x represent the with, it cannot be negative, Thus

x = r/√2

hence

y = √(r² - x²) = √(r² - r²/2) = √(r²/2) = r/√2

Therefore, the dimensions of the rectangle of largest area will be;

Width = 2x = 2( r/√2 ) = √2 r units

Height = 2y = 2( r/√2 ) = √2 r units

6 0

2 years ago

How do you find the missing side??

guapka [62]

Answer:

$\boxed{\ell = 12}.$

Step-by-step explanation:

Let $\ell$ denote the length of the missing side. Since $\triangle ABC$ and $\triangle AXY$ share one vertex and $\overline{XY}\parallel \overline{BC}$ , these triangles are similar. This means that:

$\dfrac{AX}{AB} = \dfrac{AY}{AC} \iff \dfrac{\ell}{18+\ell} = \dfrac{14}{14+21} \iff\dfrac{\ell}{18+\ell} = \dfrac{14}{35}.$

We now multiply both sides by $18+\ell$ and solve the equation:

$\dfrac{\ell}{18+\ell} = \dfrac{14}{35} \iff \ell = \dfrac{36}{5} + \dfrac{14}{35}\ell \iff \ell \left(1-\dfrac{14}{35}\right) = \dfrac{36}{5} \iff \dfrac{3}{5}\ell = \dfrac{36}{5}.$

So we now simply get:

$\boxed{\ell = \dfrac{36}{3} = 12}.$

4 0

2 years ago

Read 2 more answers

Yea yea you know i need help my brains tiny thank you for everything and everyone helping

Darina [25.2K]

Answer: r=6

Step-by-step explanation:

Step 1: Substitute for the known variables

we know that the formula to find the volume of a cylinder is V= πr²h

π= 3.14

h= 12

r= ?

v=1,357

Plugging the numbers we know into the formula, we get:

1,357= 3.14xr²x12

1,357= 3.14x12xr² (because with the commutative property of multiplication you can multiply in any order)

1,357= 37.68 x r²

Step 2: Get the variable term (the letter term) on the left

37.68 x r²= 1,357

Now, divide by 37.68. (I know to divide because when you switch the 37.68x r² the other way around to r²x37.68, you are clearly multiplying and must do the inverse operation (opposite of multiplication; division) to solve the problem.

So,

r²= 1357÷37.68

r²= 36.0138004 ----> about 36.

r²= 36

This equation isn't over yet because we still have the exponent on the r. Whenever you see a letter squared (to the power 2) in an equation, the "inverse operation" is to take the square root of both sides. Look:

r²= 36

The square root of r² is just r, because r x r = r²

The square root of 36 is 6, because 6x6=36.

Now we have :

r= 6

Step 3: Check

Now we have all the variables. To check to make sure the radius is correct, "plug in"

V= π r²h

1,357= 3.14x6²x12

1,357= 3.14x36x12

1,357= 113.04x12

1,357= 1356.48

They said in the question that the volume is APPROXIMATLEY 1357, so I can just round 1356.48 --> 1356.5---> 1357. Now I am sure that the radius is 6.

Hope this helps :)) also brainliest would be appreciated :D

4 0

1 year ago

Read 2 more answers

PLEASE HELP ME WITH THIS QUESTION!!!

mojhsa [17]

The answer is no solution

3 0

3 years ago