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3 years ago

A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!

1 answer:

7 0

A sphere with radius $r$ has surface area $4\pi r^2$ . Divide the radius by 6 and you get a surface area of $4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2$ , so that the final surface area is divided by 36.

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A puppy weighs 9 newtons on Earth and about 2 newtons on the planet Namar. A girl weighs 400 newtons on Earth. About how many ne

serious [3.7K]

Hi there!

In order to answer your question, you'll need to use the cross product method (let's say that Newtons = N):

9N on Earth = 2N on Namar

400N on Earth = xN on Namar

(2 × 400) ÷ 9 = xN on Namar

800 ÷ 9 = xN on Namar

88.888.. = xN on Namar

Since your answer must be to the nearest Newton, I'm guessing that you need to round your answer to the nearest whole number. This means that since the number in the tenths column is more than 5 (could also be equal to 5), you need to round the number up.

88.888... rounded to the nearest whole number = 89

Your answer is: The girl weigh 89 newtons on Namar.

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

3 years ago

Two six-sided fair dice are rolled simultaneously. The probability that the sum of the two numbers rolled is greater than 3, giv

Nezavi [6.7K]

A) Possible outcomes are ...
(1, 3), (1, 4), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1)
for a total of 7 out of 36 outcomes that match your requirements.
p(3 < sum ≤ 5) = 7/36

B) Possible outcomes are ...
(6, 1), (6, 3), (6, 5), (1, 6), (3, 6), (5, 6)
for a total of 6 out of 36 outcomes that match your requirements.
p(6 and odd) = 6/36 = 1/6

4 0

3 years ago

A line passes through the point (2 comma negative 2 comma 10 ), and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo

lyudmila [28]

Title:

<h2>The standard parametric equation for the line is $\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as $\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}$ ; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

It is given that the line passes through the point (2, -2, 10).

Hence, here (a, b, c) ≡ (2, -2, 10).

Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).

Putting all the values in the equation of the line, the equation becomes

$\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .

3 0

3 years ago

If f(x) = x2 – 2x, find:<br> X<br> -<br> f(-3) = [?]

Reptile [31]

Did you mean :

f(x) = x² - 2x, find x = -3

f(-3) = (-3)² - 2(-3)

f(-3) = 9 + 6

f(-3) = 15

6 0

3 years ago

One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

inna [77]

Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

<em><u>Solution:</u></em>

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$

Thus number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

3 0

3 years ago