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Usimov [2.4K]
2 years ago
14

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

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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

#SPJ1

6 0
2 years ago
What's the product of 42⁄3 and 111⁄4 ?
svet-max [94.6K]

Answer:

(D)52\frac{1}{2}

Step-by-step explanation:

The given fractions are:

4\frac{2}{3}and 11\frac{1}{4}.

We have to find the product of the given fractions, that is:

=4\frac{2}{3}{\times}11\frac{1}{4}

Simplifying the mixed fractions, we get

=\frac{14}{3}{\times}\frac{45}{4}

=\frac{105}{2}

Converting the answer into mixed fraction, we get

=52\frac{1}{2}

which is the required answer.

7 0
3 years ago
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Nataly_w [17]

Answer:

s c

2-6

4-12

6-18

8-24

7 0
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