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
zheka24 [161]
3 years ago
6

Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0
<h3>Given</h3>

trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8

<h3>Find</h3>

the area of PSTK

<h3>Solution</h3>

It helps to draw a diagram.

∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as

... KS² = PS² + KP²

... 13² = PS² + 12²

... PS = √(169 -144) = 5

This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is

... A = (1/2)(b1 +b2)h

... A = (1/2)(12 +8)·5

... A = 50

The area of trapezoid PSTK is 50 square units.

You might be interested in
I need some help... Algebra Hw
Svet_ta [14]

Answer:can't see no 1

Step-by-step explanation:

2=A

3=c

4 0
3 years ago
What’s 3 times 6 over 7 **MULTIPLY
Amanda [17]

Would it be 2.5??? I think it would but not completely sure

7 0
3 years ago
Read 2 more answers
Help me please giving brainiest
Setler79 [48]

Answer:

1) The most common place (mode) for people to jog is the path.

2) (The picture)

Step-by-step explanation:

1) The mode means what is most common, and since the path has 22 people, it is the most common place.

2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.

4 0
2 years ago
If 3 pounds of apples cost $3.85, how much will 18<br> pounds of apples cost?
Mekhanik [1.2K]

Answer: $23.10

Step-by-step explanation:

18/3 = 6

3.85 x 6 = $23.10

8 0
3 years ago
Kira needs 3,000 milligrams of zinc for a science experiment. Which expression can be used to determine how many grams of zinc s
harina [27]

Answer: 3,000 divided by a thousand

Step-by-step explanation: 1,000 milligrams equal one gram so you divide the number of milligrams by 1,000 to find out the number of grams.

8 0
3 years ago
Other questions:
  • The equation of motion of a particle is s = t3 − 3t, where s is in meters and t is in seconds. (Assume t ≥ 0.) (a) Find the velo
    7·1 answer
  • Can someone help....​
    10·2 answers
  • Can someone please help
    11·2 answers
  • Can someone answer all 3 thanks.
    11·1 answer
  • How many groups of 3/4 are in each of the following quantities? 11/4<br> answer as a fraction. ASAP
    10·1 answer
  • Solve these equations:<br><br>y= -2x-4<br><br>y= 3x+1​
    15·2 answers
  • 3 points
    6·1 answer
  • The cost of a car rental is 30​$ per day plus 27 cents per mile. You are on a daily budget of 76 ​$. Write and solve an inequali
    6·1 answer
  • Order the numbers from greatest to least 1/4 5/8 3/16
    12·1 answer
  • Sergio is creating a college fund for his son Diego, who is now 4 years old. Sergio put $1600 in a CD that will earn 8.25% simpl
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!