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1 year ago

Which of the following represents the measures of all angles coterminal with a 418° angle?

Mathematics

2 answers:

Anit [1.1K]1 year ago

8 0

The correct answer is B

zhannawk [14.2K]1 year ago

5 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given angle is

$418^{\circ}$

If we have an angle θ, where θ lies between 0 to 360°, then the co-terminal angles are defined as

$\theta+360n$

Where, n is any integer.

$418^{\circ}=58^{\circ}+360^{\circ}$

So, 58° is a co-terminal angle of 418°. All the co-terminal angle of 418° are

$58+360n$

Where n is an integer.

Therefore option 2 is correct.

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Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the s

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Answer: $65.10

Step-by-step work:

1.Set the ratio
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1 year ago

F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

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d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

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1 year ago

Karson drove from his house to work at an average speed of 35 miles per hour. The drive took him 20 minutes. If the drive took

Nastasia [14]

Answer:

Karson's average speed on his way home was 28 miles per hour.

Step-by-step explanation:

Since Karson drove from his house to work at an average speed of 35 miles per hour, and the drive took him 20 minutes, if the drive took him 25 minutes and he used the same route in reverse, to determine what was his average speed going home, the following calculation must be performed:

60 = 35

20 = X

20 x 35/60 = X

700/60 = X

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25 = 11,666

60 = X

60 x 11.666 / 25 = X

27.99 = X

Therefore, Karson's average speed on his way home was 28 miles per hour.

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Answer:

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Step-by-step explanation:

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