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
garri49 [273]
2 years ago
15

PQRS IS A TRAPEZIUM IN PQ=16CM ,QR=12CM RS=8CM AND PQR=30° CALCULATE THE AREA OF PQRS​

Mathematics
1 answer:
Nikolay [14]2 years ago
5 0

Answer:

The answer is in a picture

And♤ merry Christmas♡

Step-by-step explanation:

You might be interested in
Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
Write an equation for the line on the graph below<br><br> I need help on both of them
LiRa [457]

Answer:

1st one, x=-1

2nd on, y=2

Step-by-step explanation:

4 0
3 years ago
Sin and cos <br>sin Y= ___ in fraction form if you can explain it that would be very helpful
Valentin [98]

Check the picture below.

6 0
3 years ago
Please assist with this question . Will give brainliest. No links please!!!
SpyIntel [72]

Answer:

-16x^3+9x^2

Step-by-step explanation:

-4x^3-12x^3+9x^2

(-4-12)x^3+9x^2

-16x^3+9x^2

8 0
2 years ago
If a gardener make $60 a day working and has to pay $15 for each day that he does not show up and he only works a total of 20 da
nydimaria [60]

Answer:

14 days

Step-by-step explanation:

Amount earned by gardener for each day worked = $60

Amount paid by gardener for each day when absent = $15

Total number of days = 20

Let the total number of days when the gardener was working = x

Then he was absent for (20 - x) days.

Total amount earned during this period = $750

Then, \[60x - 15(20-x) = 750\]&#10;

=> \[60x + 15x - 300 = 750\]

=> \[75x = 1050\]

=> x = 14

So the gardener worked for 14 days out of 20.

8 0
3 years ago
Other questions:
  • Find the area of a triangle with sides a=5, b=8, and c= 11
    6·1 answer
  • What is the equation of the line shown in this graph?<br><br><br> Enter your answer in the box.
    11·2 answers
  • Duo makes 65% of his dumplings with vegetarian fillings. What fraction of Duo's dumplings have vegetarian fillings?
    14·1 answer
  • Which function below is the inverse of f(x) = x2 − 25?
    11·2 answers
  • Solve for x. <br><br> 5x - 1 = 26<br> A)x=27/5<br> B)x=5<br> C)-5
    9·2 answers
  • An online furniture store sells chairs for $50 each and tables for
    14·2 answers
  • Identify the domain of the function shown in the graph.
    9·1 answer
  • The graph below shows distance to time for one of Anna's swimming races. What is Anna's average speed.
    5·1 answer
  • HELP!! Shelley creates a logo using two similar icicle triangle shown below what is the length of side s in centimeters
    6·1 answer
  • Which results only in a horizontal compression of Y =
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!