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3 years ago

The longest side in a right triangle is 24 cm and the second longest side 20 cm, what is the length of the shortest side

Mathematics

1 answer:

Naddik [55]3 years ago

3 0

Answer:

$4\sqrt{11}$

Step-by-step explanation:

you use the Pythagorean theorem, so the longest side is the hypotenuse and so you do 24^2 minus 20^2 to find the shortest side. you would get 176 and you square root this to get about 13.27

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a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone

alina1380 [7]

We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.

7 0

3 years ago

Alberto has 92 stamps in one large álbum and 38 stamps in anotaré small álbum. How can he use mental math to find how many more

Leokris [45]

Answer:

The answer would be the large album has 54 more stamps than the small album.

Step-by-step explanation:

... 92 - 38 = 54

Do you need a drawing done though?

4 0

3 years ago

Find the restricted values of x for 2/12x

maw [93]

Answer:

The restricted value is x=0

Step-by-step explanation:

We have been given the expression $\frac{2}{12x}$

This is a rational function. We know that the rational expression is undefined if denominator is zero.

Here, we will use this fact to find the restricted value (s) of $\frac{2}{12x}$ .

Restricted values means the values for which the function is not defined.

The given function is not defined if the denominator is zero.

12x =0

x =0

Hence, the restricted value is x=0

3 0

4 years ago

June made a design with 6 equal tiles. One tile is yellow, 2 tiles are blue,and three tiles are purple. What fraction of the til

Amiraneli [1.4K]

total number of tiles is 6. the number of yellow or purple tiles i 1+3 = 4.

So the probability of a yellow or purple tile is 4/6=2/3

4 0

3 years ago

A package of dental floss has 175 m of floss. Dr.Pierre bought 150 packages to give to his patients. How many metres of dental f

grandymaker [24]

The total length of the dental floss in 150 packages will be 26250 meters.

Explanation

A package of dental floss has 175 m of floss.

Suppose, the number of meters of dental floss in 150 packages is $x$

So, the equation according to the ratio of "number of packages" to "dental floss" will be.....

$\frac{1}{175}=\frac{150}{x}\\ \\ x= 175*150=26250$

So, the total length of the dental floss in 150 packages will be 26250 meters.

3 0

4 years ago