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
Delvig [45]
3 years ago
15

Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

 PK=8.49m

Explanation:

We have sine formula

     \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

By sine formula we have

    \frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}

    We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°

 Substituting

        \frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m      

You might be interested in
If the diagonals of a quadrilateral divide each other proportionally then it is a​
Artist 52 [7]

Answer:

Step-by-step explanation:

trapezium

<h2>If the diagonals of a quadrilateral divide each other proportionally, then prove that the quadrilateral is a trapezium.</h2>
3 0
2 years ago
Find the measure of ∠ 2.<br><br> degrees
miv72 [106K]
If\ it's\ a\ rhombus,\ then\ |\angle1|=26^o\\\\|\angle1|+|\angle2|+26^o=180^o\ \ /it's\ a\ triangle/\\\\26^o+|\angle2|+26^o=180^o\\52^o+|\angle2|=180^o\ \ \ |subtract\ 52^o\ from\ both\ sides\\\boxed{|\angle2|=128^o}
7 0
2 years ago
7.5.5. I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work. I then realized that
olya-2409 [2.1K]

Answer:

Given:

I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.

I then realized that I would be late if I kept walking.

I ran the rest of the way. I run twice as fast as I walk.

Find:

The number of minutes in total did it take me to get from home to work

Step-by-step explanation:

Had I kept walking, the second half of my trip would have taken 10 more minutes.

By doubling my speed for the second half of my trip,

I halved the amount of time it took me to finish.

So, the second half of my trip took 5 minutes, for a total trip time of  10+5 = 15 minutes.

The number of minutes in total did it take me to get from home to work is 15 minutes.

3 0
1 year ago
Read 2 more answers
Nearest interger of 10
hjlf

Answer:

9 or 11

Step-by-step explanation:

These are the answers because:

1) The number before 10 and after 10 is 9 and 11

Therefore, the answer is 9 or 11

Hope this helps!

6 0
3 years ago
Write an equation in point-slope form of the line that passes through (3, -8) and (7,-2).
sashaice [31]

Answer:

A line that passes through (3, -8) and (7,-2).

Denote equation of that line: y = ax + b

=> Slope a can be directly determined by:

a = (7 - 3)/(-2 - -8) = 4/6 = 2/3

=> y = (2/3)x + b

This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10

=> y =(2/3)x - 10

There are other ways to find equation of line.

Hope this helps!

:)

3 0
2 years ago
Read 2 more answers
Other questions:
  • What value of x makes this equation true 12x-15=6-3x
    13·2 answers
  • Okay so I’m taking a math test and it says 2 plus 2
    8·2 answers
  • Prove that the base angles of an isosceles triangle are congruent. Be sure to create and name the appropriate geometric figures.
    14·2 answers
  • Which of the following options is the last step in calculating your net worth? listing your liabilities finding total assets and
    8·2 answers
  • A line intersects the point (-11, 4) and has
    9·1 answer
  • What is the value of b in the equation below? 9 Superscript negative 8 Baseline times 9 Superscript negative 2 Baseline = a Supe
    6·2 answers
  • Oceanside Bike Rental Shop charges 12 dollars plus 6 dollars an hour for renting a bike. Write an expression for the cost of ren
    11·1 answer
  • Each solid is composed of a rectangular prism and a regular prism. Find the surface area of the solid.
    6·1 answer
  • the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are
    5·1 answer
  • Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!