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2 years ago

The Earth has a diameter

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

4 0

Answer:

L = 24,873.6 miles

Step-by-step explanation:

Length of the Circumference

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

$L =2\pi\cdot r$

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

$L =2\pi\cdot 3,958.75\ miles$

L = 24,873.6 miles

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Name the angle pair: 2 and 3 (In picture)

gogolik [260]

Step-by-step explanation:

The angle 2 and 3 are in vertically opposite sides. So, they are vertically opposite angles.

Hence, second option is correct.

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2 years ago

What is the graph of f(x)=x^2-2x+3

Neko [114]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=x^{2}-2x+3$

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

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see the attached figure

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2 years ago

Express 11011 in base two

WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

8 0

2 years ago

Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

a. The gradient is

$\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath$

$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

$\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}$

7 0

3 years ago

Jim had a box full of baseball cards on Monday he gave 1/3 of them to John on Tuesday he gave 10 of them to Jeff finally on Wedn

larisa [96]

Answer:

120 baseball cards

Step-by-step explanation:

15 × 2 = 30

30 + 10 = 40

40 ÷ 1/3 = 40 × 3/1 = 120

Therefore there were 120 cards in the back

I just did the inverse of each process starting from the last step and ending at the first

5 0

2 years ago