Find the indicated side of the right triangle.

Mathematics

1 answer:

Advocard [28]3 years ago

8 0

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

$x=9\\\text{Hypotenuse}=x\sqrt2\\\text{Hypotenuse}=9\sqrt2$

The ? is 9.

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What is the range of y=5(11)x

dem82 [27]

Answer:

Domain: ( − ∞ , ∞ ) , { x | x ∈ R}

Range: ( − ∞ , ∞ ) , { y | y ∈ R}

Step-by-step explanation:

We can simplify to understand how to answer the question better.

5 * 11x = 55x

Function range definition:

The set of values of the dependent variable for which a function is defined.

The range of polynomials with odd degree is all real numbers.

So the solution is..

-∞<x< ∞

And the interval notation is..

(- ∞. ∞)

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If January starts on d, February will start 31 days later. Following our pattern above, this will put it at d + 3 (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at d+3 also. April will start 31 days after that, so that puts us at d+3+3=d+6. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to d+1. June starts 31 days after that, so d+1+3=d+4. July starts 30 days after that, so d+4+2=d+6. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is d+2. September starts 31 days after that, so d+2+3=d+5. October starts 30 days after that, so d+5+2=d+7, which is just d. November starts 31 days after that, so d+3. December starts 30 days after that, so d+5. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have d, d, d+1, d+2, d+3, d+3, d+3, d+4, d+5, d+5, d+6 and d+6. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
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WITCHER [35]

Please read the attached file