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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.

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Is 4/5 an integer? pls help
lesya692 [45]

Answer:

Answer and Explanation

Step-by-step explanation:

The fraction 4/5 is a rational number. Rational numbers result when one integer is divided by another. both four and five are integers.

8 0
3 years ago
John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and t
NikAS [45]

Step-by-step explanation:

From a, the original number is 100x the new number.

So,if the new number is 1unit --> the original is 100x 1unit --> 100units

Add the two numbers together --> 1unit + 100units --> 101 units

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So 100units - 1unit --> 136.62

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8 0
3 years ago
A company has 200 machines. Each machine has 129 probability of not working. If you were to pick 40 machines randomly, the proba
alexgriva [62]

The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.

Given a company has 200 machines. Each machine has a 12% probability of not working.

If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.

So

1) probability that 5 would not be working

C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵

                                ≈ 0.18665

2)  probability that at least one machine would be working

0.88⁴⁰ ≈ 0.00602

3) probability that all would be working

1 - 0.12⁴⁰ ≈ 1.0000

Learn more about probability here: brainly.com/question/24756209

#SPJ10

7 0
1 year ago
What is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x times the seventh r
lorasvet [3.4K]
X^(1/7)x^(1/7)x^(1/7)x^(1/7)

Well the rule for multiplying similar bases with exponents is:

(a^b)(a^c)(a^d)=a^(b+c+d), so in this case:

x^(1/7+1/7+1/7+1/7)

x^(4/7)

In words that is x raised to the 4/7 th power or the seventh root of x raised to the 4th power.
3 0
3 years ago
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