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Rzqust [24]
3 years ago
9

explain step by step how to solve. please point out any similarities in the steps used for each question

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29


#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16


#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
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For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What
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The answer is A.

Step-by-step explanation:

So we have the two equations:

3x+y=1\\y+4=5x

To make a substitution of the second equation into the first equation, we need to isolate the <em>y </em>variable in the second equation. Thus:

y+4=5x\\y=5x-4

Now, we can substitute this into the first equation. Therefore:

3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1

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How would you solve a problem in time travel if you you departing at 1:10 PM EST and arriving at 8:29 PM PST.
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Answer:

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Step-by-step explanation:

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1:10 PM

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5 0
3 years ago
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers
monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

  • the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
  • So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

  • Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
  • -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

  • Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

  • an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
  • Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

  • Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d)  | 11-5|×|1-5|

  • | 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

8 0
3 years ago
Which of the following do not have precise definitions in geometry. Select the two correct answers
guapka [62]

Answer:

2 and 5

Point and line.

Step-by-step explanation:

In geometry, there are many terms and jargons Mathematicians make use of.

Angle is one of the term used in geometry which depicts any form of inclination.

Segment is also use to analyze and to solve many questions.

Lines are used to join one segment or the other.

Point and ray are also used but are majorly used in optics

Asking that Which of the following do not have precise definitions in geometry.

The best answer are point and line.

Because there is no specific definition for the two variables.

7 0
3 years ago
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