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Orlov [11]
3 years ago
15

Determine the missing length. Show your work!

Mathematics
2 answers:
posledela3 years ago
8 0

Answer:

15

Step-by-step explanation:

Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

C = the square root of A squared + B squared.

plug in the numbers

C = the square root of 9 squared + 12 squared = 15

melisa1 [442]3 years ago
8 0

Answer:

15

Step-by-step explanation:

{9}^{2}  +  {12}^{2}  = c ^{2} \\ 81  + 144 =  {c}^{2}  \\  225 =  {c}^{2} \\  \sqrt{225}  = c \\  \sqrt{225}  = 15

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Solve this equation
marishachu [46]

Answer:

k=-11

Step-by-step explanation:

Rewrite the Equation.

\frac{k+3}{2} =-4

Multiply both sides of the Equation by 2.

2*\frac{k+3}{2}=2*-4

Simplify both sides of the Equation.

k+3=-8

Move all terms not containing k to the right side of the Equation.  

k=-11

5 0
3 years ago
Write the expression in factored form s^2-20s-100
KatRina [158]

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

Hence, the factors of given expression are 10+10√2 and 10-10√2.

3 0
3 years ago
. How do these two processes, finding the expected value of a discrete random variable and finding the dot product
kozerog [31]

Answer:

We can conclude that on this case we have identical processes but excersise 17 use another way to present the probability distribution and as we can see the expected value can be viewed as a dot product of two vectors with one vector containing the outcomes and the other the probabilities for each possible outcome.

Step-by-step explanation:

Assuming this previous info:

Exercise 17. Suppose that we convert the table on the previous page displaying the discrete distribution for the number of heads  occurring when two coins are flipped to two vectors.

Let vector

6 0
3 years ago
Eight friends ate ⅝ of a bag of chips. What fraction of the bag did each person eat, assuming that they each ate the same amount
Nataliya [291]

Answer:

Option B.  of the bag.

Step-by-step explanation:

Eight friends ate  of a bag of chips in the same amount.

We have to find the quantity that each person ate the chips.

Each friend ate =  ÷ 8

                         =  ×  

                         =  

Therefore, each friend ate  of the bag of chips.

Option B is the answer.

7 0
3 years ago
Read 2 more answers
The difference of a number and 8 is no more then 13
skad [1K]

x - 8 = </= 13

x could be from 9 to 21

6 0
3 years ago
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