1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr-060686 [28]
3 years ago
15

Solve the right triangle shown in the figure. B = 16.9°, b = 30.5

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

A=73.1

a=100.387

c=√ 11007.799769

Step-by-step explanation:

A=180-90+16.9=73.1

Tan(16.9)=30.5/a

=100.387

a^2+b^2=c^2

100.387^2+ 30.5^2=c^2

c=√ 11007.799769

You might be interested in
Anyone mind helping?
elena-s [515]

Answer:

15 x^8 y^3

Step-by-step explanation:

The area of a rectangle is given by

A = l*w  where l is the length and w is the width

A = ( 5x^6 y^2) *( 3x^2 y)

   = 15 x^(6+2) y^(2+1)

   = 15 x^8 y^3

4 0
2 years ago
Read 2 more answers
Solve/answer the question and help me understand this question please
faltersainse [42]

Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

<h3>understanding the direction</h3>

In navigation problems, direction angles are specified a couple of different ways. A <em>bearing</em> is usually an angle in the range [0°, 360°), <em>measured clockwise from north</em>. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

<h3>the two vectors</h3>

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

  • magnitude∠direction
  • magnitude <em>cis</em> direction

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

<h3>vector sum</h3>

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

<em>Additional comment</em>

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

7 0
2 years ago
Linda already owns 7 necklaces, and additional necklaces are priced at 3 for a dollar. Write an equation that shows the relation
maksim [4K]

Answer:

95+5x=13x

I'd if this is right im not smart

6 0
3 years ago
Read 2 more answers
Ignore this
marissa [1.9K]

Answer:

Thanks for free

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
6th grade math, help me please
stira [4]

Answer:

1. 2/5

Step-by-step explanation:

When it says the ratio is 5 to 2, that means 5 is always first:

5 : 2 is correct

5/2 is correct

10 : 4 is correct (multiplied 2 on both sides)

2/5 is incorrect because 2 is first. That means that this ratio would be 2 to 5, not 5 to 2.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What number should be added to both sides of the equation to complete the square x^2+3x=6
    7·1 answer
  • Evaluate the expression a/b for a = 80 and b = 8.
    7·2 answers
  • A square support unit in a television is made with a side measuring 4 centimeters.
    6·1 answer
  • In an election about 500,000 people voted in all.What could be the exact number of people who voted in the election?
    15·2 answers
  • If g( n ) = 3 n - 2, then what is the value of g(10)?
    7·1 answer
  • How do you estimate weight?
    5·2 answers
  • (-2)^5 !!!!!!!!!! help
    9·2 answers
  • Least common denominator of 1/8 2/9 and 3/12
    5·1 answer
  • Help i will give an award!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • For the following equation, write two more equations, using
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!