Find the number of possible outcomes from choosing a number from 11 to 20 and a letter of the alphabet.

Mathematics

1 answer:

DaniilM [7]2 years ago

3 0

The answer is 286 thank you

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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

7 0

2 years ago

At an annual salary of $55,000 per year, what is the amount of semimonthly paychecks?

Amiraneli [1.4K]

Semi monthly means 2 times per month
assume that pay is at beginning and middle of month (doesn't matter, but makes it easier for me)

so 12 months
2 times per month
12 times 2=24
divide 55000 by number of months
55,000/24=2291.67

so the amount per paycheck, assuming equally distributed amounts throughout the paychecks, is $2291.67

4 0

2 years ago

Find -48a divided by 8 when a=1 write your answer in simplest form

lukranit [14]

-48a÷ 8 can be written as,