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3 years ago

5

The distance between two towns is 192 kilometers.

1 answer:

MaRussiya [10]3 years ago

3 0

Answer:

The answer is: 120.

Step-by-step explanation:

The give ratio is 5 miles for every 8 kilometers.

Multiply the ratio times 192:

5/8 * 192 =

960 / 8 = 120 Miles

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Tara's meal cost $8.60. she had to pay sales tax of 6%. then she left a 10% tip based off the new total. what did she spend all

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3 years ago

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Evaluate the integral. ∫50∫25−x2√−25−x2√∫25−x2−z2√−25−x2−z2√1(x2+y2+z2)1/2dydzdx∫05∫−25−x225−x2∫−25−x2−z225−x2−z21(x2+y2+z2)1/2d

Kipish [7]

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4 years ago

Please explain why. Thanks

xxTIMURxx [149]

<h3><u>Question</u> :-</h3>

Is (x-2) is a factor of x³-3x²-x +7 –

Yes
No ☑

<h3><u>Explanation</u> :-</h3>

We are given –

Polynomial function, P(x) = x³-3x²-x +7

In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

Let's find value of x!

$\qquad$ $\twoheadrightarrow\bf P(x) = x³-3x²-x +7$

$\qquad$ $\twoheadrightarrow\bf Q(x) =x - 2$

$\qquad$ $\twoheadrightarrow\bf If \:Q(x) = 0$

$\qquad$ $\twoheadrightarrow\bf x - 2 = 0$

$\qquad$ $\twoheadrightarrow\bf x = 2$

Now Put x = 2 into the polynomial –

$\qquad$ $\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}$

$\qquad$ $\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5$

$\qquad$ $\twoheadrightarrow\sf P(2) = 8 -12 +5$

$\qquad$ $\twoheadrightarrow\sf P(2) = 13-12$

$\qquad$ $\purple{\twoheadrightarrow\bf P(2) =1 }$

Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.

________________________________________

5 0

2 years ago

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (84, 13) lies

tia_tia [17]

Answer:

$\sin \theta = 0.153$ , $\cos \theta = 0.988$ , $\tan \theta = 0.155$ , $\cot \theta = 6.462$ , $\sec \theta = 1.012$ , $\csc \theta = 6.538$

Step-by-step explanation:

Let be the point $(x,y)$ , the six trigonometric functions of the angle are represented by following formulas:

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (2)

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$ (3)

$\cot \theta = \frac{1}{\tan \theta} = \frac{x}{y}$ (4)

$\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (5)

$\csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{x^{2}+y^{2}}}{y}$ (6)

If we know that $x = 84$ and $y = 13$ , then the values of the six trigonometric functions is:

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$

$\sin \theta = 0.153$

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$

$\cos \theta = 0.988$

$\tan \theta = \frac{y}{x}$

$\tan \theta = 0.155$

$\cot \theta = \frac{x}{y}$

$\cot \theta = 6.462$

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$

$\sec \theta = 1.012$

$\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}$

$\csc \theta = 6.538$

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3 years ago

Fernando makes 39 muffins. He puts 5 into each box. How many boxes can

natka813 [3]

Answer:

7

Step-by-step explanation:

39 divided by 5 is 7.8, so he can only fill seven boxes with muffins.

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4 years ago

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