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3 years ago

The moon has a surface area of approximately 14,650,000 m^2. Estimate its radius to the nearest mile

1 answer:

7 0

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=14650000 \end{cases}\implies 14650000=4\pi r^2 \\\\\\ \cfrac{14650000}{4\pi }=r^2\implies \cfrac{3662500}{\pi }=r^2\implies \sqrt{\cfrac{3662500}{\pi }}=r\implies 1079.73\approx r$

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Christina measured line F with 6 quarters and line G with 8 pennies. Christina said line G is longer because 8 is a bigger numbe

user100 [1]

Wrong because she has 6 quarts which equal a gallon and a half of gallon so line f is bigger

7 0

3 years ago

Legend has it that a bull sasquatch in rut will howl approximately 9 times per hour when it is 40°f outside and only 5 times per

ahrayia [7]

The answer is 13.

To solve this question, you need to determine the slope of the function. if howl is y and the temperature is x of the graph, the slope would be:

9-5/(40-70)= 4/-30= -2/15

Using one of the point and the slope, you can find the number of howl

-2/15= 9-y/40-(-20)

9-y= -2/15 * 60

9-y= -4

y= 9+4= 13

8 0

3 years ago

Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v = 1.225 to find

Margaret [11]

Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles

<h3>How to find altitude using visibility formula?</h3>

The visibility formula is given as follows:

v = 1.225√a

where

a = altitude
v = visibility

Therefore,

v = 67.1 miles

v = 1.225√a

67.1 = 1.225√a

divide both sides by 1.225

√a = 67.1 / 1.225

√a = 54.7755102041

square both sides

√a² = √54.7755102041

a = 7.40104789878

a = 7.4 miles

learn more on visibility here: brainly.com/question/16166215

6 0

2 years ago

Read 2 more answers

The quotient of a number and 3 is 6

KengaRu [80]

Step-by-step explanation:

the quotient of a number and 3 is 6

Solution,

Let the number be x, then

$\frac{x}{3} = 6 \\ x = 6 \times 3 \\ x = 18$

5 0

2 years ago

Read 2 more answers

The lines represented by the equations y = -X – 3 and

xz_007 [3.2K]

The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

<h3>What is linear equation?</h3>

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.

We have two equation of the line:

y = -x -3 and

5y + 5x = -15

From the equation 5y + 5x = -15:

Divide by 5 on the above equation:

y + x = -3

y = -x -3

The two equations y = -x -3 represents the same line.

Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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3 0

1 year ago