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
Marianna [84]
3 years ago
8

Given: PSTK - trapezoid m∠P = 90°, SK=13 PK = 12, ST = 8 Find: Area of PSTK

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

Area of PSTK = 50

Step-by-step explanation:

△SPK:

SK = 13, PK = 12

13^2 - 12^2 = SP^2

SP = 5

(8 + 12) /2 x 5 = 50  


You might be interested in
Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2
Fynjy0 [20]

A graph which shows the image of ABCD is: A. on a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1).

<h3>What is a transformation?</h3>

A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

  • Dilation
  • Reflection
  • Rotation
  • Translation

Based on transformation of parallelogram ABCD, we can infer and logically deduce that a graph which shows the image of ABCD is that on a coordinate plane, with parallelogram A'B'C'D' having points (-2, 5), (0, 3), (0, -1.2), (-2, 1) as shown in the image attached below.

Read more on transformations here: brainly.com/question/27939466

#SPJ1

3 0
2 years ago
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X =  <u><em>A random variable </em></u>

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3)  = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

=  \binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}

 =  1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}  

=  <u>0.9933</u>

4 0
3 years ago
If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expr
Ahat [919]

Answer:

<em>(-2)2 - (-8) + 1</em>

Step-by-step explanation:

When you substitute values into an algebraic equation, you need to input the values exactly how they are given. "w" must go where there are "w"s, and "v" must go where the "v"s are, otherwise you will get an incorrect answer. All values must also carry over their signs--they are one unit--and must be inserted as such, which is why - (-8) is correct, but not - (8) or - 8. (This is because those two negatives will cancel each other out and become +8 when solving). The parenthesis around the values are important because they protect the original values of the variables, which is why (-2)2 is correct. In the case of (-2)2, it also signifies that they are "attached" by multiplication, and when solving would become -4. Without signifying that the variables are separate from the rest of the equation via the parenthesis, it becomes very easy to solve it incorrectly.

5 0
3 years ago
Read 2 more answers
3
viktelen [127]

Answer:

altemate interior angles

7 0
3 years ago
Complete the statement. 469.1 mg = g
Goryan [66]
469.1 mg = .4691 g. Hope I helped. =)
7 0
3 years ago
Read 2 more answers
Other questions:
  • Mark has to pay a state tax of 10% and a federal tax of 25% on the amount he receives from selling his house. What steps would h
    8·2 answers
  • At a particular music store, CDs are on sale at $12.00 for the first one purchased and $9.00 for each additional disc purchased.
    6·2 answers
  • Use the distributive property to find the product.<br><br>12× 5 1/3​
    9·2 answers
  • Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.
    15·2 answers
  • A model rocket fired from the ground at time t can be modeled by the equation h= -490t² + 1120t. When is the height of the model
    10·1 answer
  • Use the graph of f to calculate <img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%7Bf%28t%29%7D%20%5C%2C%20dt" id="TexF
    14·1 answer
  • Find the measure of angle 1
    13·2 answers
  • Someone can help me pls
    5·1 answer
  • Find the slope of the line passing through the points (-4, -3) and (8, -9).
    7·2 answers
  • Six less than x<br>I'm in 8th ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!