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zimovet [89]
1 year ago
10

Which equation could be used to find the length of the hypotenuse ?

Mathematics
2 answers:
Ipatiy [6.2K]1 year ago
4 0

Answer: 2²+5²=c²

Step-by-step explanation:

To find the length of the hypotenuse of a right triangle you can use the Pythagorean theorem, that can be written as:

a²+b²=c², where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.

In this case, a=2, b=5 and c=c, so according to the Pythagorean theorem:

2²+5²=c²

k0ka [10]1 year ago
3 0

The pythagorean theorem is leg^2+leg^2=hypotenuse^2 . And since 2 and 5 are legs while c variable is the hypotenuse, the equation would be 2^2+5^2=c^2, or the first option.

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A number k is less than 3 units from 10. <br> What's the absolute value inequality???
Brrunno [24]

It would be: k+3 = 10

subtracting 3 from both sides,

k+3-3 = 10-3

k=7

6 0
1 year ago
If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers
Contact [7]
Let the first integer be x.  Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or      x^2 - 19x - 462 = 0

Solve by completing the square:

          x^2 - 19x + 90.25 - 90.25 - 462 = 0

           (x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
                                                                                    x        = 33

The two consecutive integers are 33 and 34.

Check:  (33)(34)-20(34) = 442 (as expected).

            
8 0
1 year ago
The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, d
Pepsi [2]

Answer:

The closest to the maximum profit is  x = \$ 83682

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu  =  \$66,000

   The standard deviation is  \sigma  = \$ 21000

   The percentage of profit is  20%

Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated  as follows

     P(X >  x ) =  0.20

=>  P(X >  x ) = P(\frac{X -x}{\sigma }  >  \frac{x -66000}{21000} ) =  0.20

From the z-table  the z-score for  0.20  is  

    z-score =  0.842

So

     \frac{x -66000}{21000}  = 0.842

=>   x = \$ 83682

4 0
2 years ago
Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para
kvasek [131]

Answer:

(a) 0.932

(b) 0.0653

(c) 0.032

(d) 0.316

(e) 0.251

Step-by-step explanation:

From the table with mean parameter μ = 5, we can compute the following cumulative and density probability

(a) P(X \leq 8) = 0.932 (cumulative)

(b) P(X = 8) = 0.0653 (density)

(c) P(9 \leq X) = 1 - P(X \leq 9) = 1 - 0.968 = 0.032 (cumulative)

(d) P(5 \leq X \leq 8) = P(X \leq 8) - P(X \leq 5) = 0.932 - 0.616 = 0.316 (cumulative)

(e) P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251

5 0
2 years ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
emmainna [20.7K]

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

9 0
1 year ago
Read 2 more answers
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