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IRINA_888 [86]
3 years ago
15

Help!! please! i will give brainliest

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:  (a) sometimes, (b) true, (c) 6 ft

<u>Step-by-step explanation:</u>

You need to understand the difference between Whole, Integers, Rationals, and Irrationals in order to answer the question.

<u>Whole numbers</u> are Natural numbers plus 0:

0, 1, 2, 3, 4, ...      <em>notice that these are all positive numbers</em>

<u>Integers</u> are Whole numbers plus their opposites:

... -3, -2, -1, 0, 1, 2, 3, ...          <em>notice that positive numbers are included</em>

<u>Rationals</u> are integers but also include fractions whose decimal equivalent either repeats or terminates:

... -2, ..., -1\dfrac{1}{2}, ..., -1\dfrac{1}{3}, ... -1, ..., 0, ..., 1, ..., 1\dfrac{1}{3}, ..., 1\dfrac{1}{2}, ..., 2, ... <em>notice that positive numbers are included</em>

<u>Irrationals</u> are numbers whose decimal equivalent does not repeat or terminate:

..., -\sqrt3, -\sqrt2, ..., \sqrt2, \sqrt3, ...     <em>notice that positive numbers are included</em>

a) If a number is positive, then it is a Whole, Integer, and Rational.

Sometimes because it could also be an Irrational.

b) If a number is a perfect square, then it is a Whole, Integer, and Rational.

True because an irrational number cannot be a perfect square.

c) What is the length of a square whose Area is 36 ft².

Area = side squared   -->   A = s²   -->   36 ft² = s²    -->  6 ft = s

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Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

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sinB = (19/17)(sin61)

sinB = 0.9774

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B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

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C = 180° - 61° - 77.8°

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c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

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In one U.S city, the taxi cost is $2 plus $0.60 per mile. If you are traveling from the airport, there is an additional charge o
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Answer:

60 miles

Step-by-step explanation:

Let

x ----> the number of miles  

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The number of miles multiplied by $0.60 per mile plus $2 plus the charge of $5.50 for tolls (because you are travelling from the airport)  must be equal to  $43.50

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Combine like terms left side

0.60x+7.50=43.50

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0.60x=43.50-7.50

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The Maxair amusement park ride consists of a circular ring that holds 50 riders. Suppose that the center of the ride is at the o
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The approximation of the circumference of the ride is 138 feet to the nearest foot

<h3>How to determine the circumference?</h3>

The given parameters are:

  • Center (a,b) = (0,0) i.e. the origin
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The radius is calculated using:

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