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2 years ago

Use the function y = 200 tan x on the interval 0 < x < 141. Complete the ordered pair (xº, 0). Round your answer to the

Mathematics

1 answer:

MAVERICK [17]2 years ago

8 0

Using the tangent function, it is found that the ordered pair is (141º, -162º), hence option D is correct.

<h3>Function concepts:</h3>

For a function $y = f(x)$ , each ordered pair has the following format: $(x, f(x))$ .

The tangent of an angle is given by the sine of this angle divided by the cosine of this angle, that is:

$\tan{x} = \frac{\sin{x}}{\cos{x}}$

In this problem, the function is:

$y = f(x) = 200\tan{x}$

We want the ordered pair (141, y), that is, f(141), hence, using a calculator:

$f(141) = 200\tan{141^{\circ}} = -162$

Hence, the ordered pair is (141, -162), and option D is correct.

You can learn more about the tangent function at brainly.com/question/26144146

You might be interested in

Find the roots of the equation x^2+2x+5=0

stiv31 [10]

Answer:

x = - 1 ± 2i

Step-by-step explanation:

we can use the discriminant b² - 4ac to determine the nature of the roots

• If b² - 4ac > , roots are real and distinct

• If b² - 4ac = 0, roots are real and equal

• If b² - ac < 0, roots are not real

for x² + 2x + 5 = 0

with a = 1, b = 2 and c = 5, then

b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16

since b² - 4ac < 0 there are 2 complex roots

using the quadratic formula to calculate the roots

x = ( - 2 ± $\sqrt{-16}$ ) / 2

= (- 2 ± 4i ) / 2 = - 1 ± 2i

7 0

3 years ago

Solve each multiplication problem, use the cancellation method if possible, and reduce your answers. a. 39⁄64 × 8⁄13 b. 2⁄3 × 1⁄

blsea [12.9K]

A). 39⁄64 × 8⁄13 ====> 39 / 64 * 8 / 13 ===> 312/832 ==> 3 / 8 (Decimal: 0.375).

B). 2⁄3 × 1⁄5 × 4⁄7 ==> 2/3 * 1/5 * 4/7 ====> 8 / 105 ===> (Decimal: 0.07619)

C). 3⁄5 × 10⁄12 × 1⁄2 ===> 3/5 * 10/12 ===> 30/60 ===> 1/2 ==> 1/2 * 1/2 ===> 1/4 (Decimal: 0.25)

D). 4⁄9 × 54 ===> 4 * 54/ 9.1 ====> 216/9 ===> 24/1 ===> 24

E). 20 × 3 1⁄5 ===> 20 * 16/ 1.5 ====>320/5 ====> 64/1 =====> 64

F). 11 × 2 7⁄11 ====> 319/11 ====> 29/1 ======> 29

G). 5 1⁄3 × 5 1⁄8 ==> 16/3 * 41/8 ==> 656/24 ==> 82/3 ==> 27 1/3 ==> (Decimal: 27.33333)

H). 10 2⁄3 × 1 3⁄8 ===> 32/3 * 11/8 ===> 44 / 3 ===> 14 2/3 ==> (Decimal: 14.666667)

Hope that helps!!!! : )

7 0

2 years ago

Which cross-sectional shapes do you find the most surprising? Explain why.

Zanzabum

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.

<h3>The cross-section of a three-dimensional object?</h3>

In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.

Read more on cross-sections here: brainly.com/question/1924342

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