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Naily [24]
3 years ago
8

Please help! need help figuring this question out

Mathematics
1 answer:
beks73 [17]3 years ago
4 0
The earth is a spherical object, and you're correct, its radius is 3959 miles.

we know 71% of that is covered in water, that means 29% of that is not, 71%+29% = 100%.

well, let's recall that whatever% of anything is just (whatever/100) * anything.

now, how many square miles is its surface anyway?

\bf \textit{surface area of a sphere}\\\\
SA=4\pi r^2~~
\begin{cases}
r=radius\\
-----\\
r=3959
\end{cases}\implies SA=4\pi (3959)^2
\\\\\\
SA=62694724\pi

since 71% is already covered with water, we only need the other 29% covered, what is 29% of 62694724π, well, is just (29/100) * 62694724π.
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find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).​
maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

a(x-x_0)+b(y-y_0)+c(z-z_0)=0

Where, (x_0,y_0,z_0) is the point on the plane and \left< a,b,c\right> is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

-2(x-(-10))+5(y-7)+1(z-5)=0

-2(x+10)+5y-35+z-5=0

-2x-20+5y-35+z-5=0

-2x+5y+z-60=0

-2x+5y+z=60

Therefore, the equation of the plane is -2x+5y+z=60.

4 0
2 years ago
Find the cost of 25 shares of stock at 11 1/4 per share
musickatia [10]
I believe the answer is 2.222222222
4 0
3 years ago
Can someone explain this to me​
MA_775_DIABLO [31]
The answer is -4(3n+5)
4 0
3 years ago
If the parent function f(x)= x^2 is modified to g(x)= 2x^2+1, which statement is true about g(x)?
adell [148]
Hello :
 <span>A) it is an even function because for all x in R :
f(-x) = 2(-x)²+1
        = 2x²+1
f(-x) = f(x)</span>
3 0
3 years ago
Read 2 more answers
How is this worked out ? im confused.
Rudik [331]

Answer:

From the given ratio for tan\theta=\frac{4}{5} we found the values are

sin\theta=4  

cos\theta=5

csc\theta=\frac{1}{4}

sec\theta=\frac{1}{5}

cot\theta=\frac{5}{4}}

Step-by-step explanation:

Given the ratio for tan\theta=\frac{4}{5}

We have to find the rest of trignometric functions:

tan\theta=\frac{4}{5}\hfill (1)

tan\theta can be written as

tan\theta=\frac{sin\theta}{cos\theta}\hfill (2)

Comparing equations (1) and (2) we get

tan\theta=\frac{sin\theta}{cos\theta}=\frac{4}{5}

\frac{sin\theta}{cos\theta}=\frac{4}{5}

Equating the coressponding numerator and denominator respectively

Therefore sin\theta=4 and cos\theta=5

We can find csc\theta

csc\theta=\frac{1}{sin\theta}

=\frac{1}{4} (since sin\theta=4)

csc\theta=\frac{1}{4}

We can find sec\theta

sec\theta=\frac{1}{cos\theta}

=\frac{1}{5} (since cos\theta=5)

sec\theta=\frac{1}{5}

To find cot\theta:

cot\theta=\frac{1}{tan\theta}

=\frac{1}{\frac{4}{5}}

=1\times \frac{5}{4}

=\frac{5}{4}}

cot\theta=\frac{5}{4}}

7 0
3 years ago
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