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Rudik [331]
3 years ago
9

Square root of 405, simplfiy and give the exact value

Mathematics
2 answers:
dexar [7]3 years ago
4 0
Sq. root of 405= approximately positive or negative 20.124611797498107267682563018581

Its irrational. This is as far as the calculator goes.
Sonja [21]3 years ago
4 0
Your answer without a decimal would be as follows:

9 (Sqr Root sign)5

9 is on the outside of square root sign and five is on the inside.
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Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent bet
Nuetrik [128]

Answer:

Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.

Step-by-step explanation:

The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:

Patricia = X

Donald = 1 / 2X

Carl = 3/2 X

X + 1 / 2X + 3 / 2X = 72

1X + 0.5 X + 1.5 X = 72

3X = 72

X = 72/3

X = 24

Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).

4 0
2 years ago
A jar contains $14.25 in quarters and dimes. There are 75 coins in the jar. Find the number of quarters in the jar.
Marianna [84]
Set up a system of equations.
d + q = 75
.1d + .25q = 14.25

Multiply the first equation by -.1 so that the "d's" will cancel.
-.1d -.1q = -7.5
.1d +.25q = 14.25
Now add the two equations together
      .15q = 6.75
divide both sides by .15
        q = 45
There are 45 quarters in the jar
8 0
3 years ago
At a baseball game, a vender sold a combined total of 240 sodas and hot dogs. The number of sodas sold was two times the number
olga55 [171]

Answer:

Sodas: 160

Hot Dogs: 80

Step-by-step explanation:

Sodas: s

Hot Dogs: d

s+d=240

s=2d

3d=240

d=80

s=160

7 0
3 years ago
Explain why each non-zero integer has two square roots but only one cube root.
lilavasa [31]

if we have a number like say hmm 4, and we say hmmm √4 is ±2, it simply means, that if we multiply that number twice by itself, we get what's inside the root, we get the 4, so (+2)(+2) = 4, and (-2)(-2) = 4, recall that <u>minus times minus = plus</u>.

so, any when we're referring to even roots like \bf \sqrt[2]{~~},\sqrt[4]{~~},\sqrt[6]{~~}...., the positive number, that can multiply itself an even amount of times, will produce a valid value, BUT the negative number that multiply itself an even amount of times, will also produce a valid value.

now, that's is not true for odd roots like \bf \sqrt[3]{~~},\sqrt[5]{~~},\sqrt[7]{~~}...., because the multiplication of the negative number will not produce a valid value, let's put two examples on that.


\bf \sqrt[3]{27}\implies \sqrt[3]{3^3}\implies 3\qquad because\qquad (3)(3)(3)=27&#10;\\\\\\&#10;however\qquad (-3)(-3)(-3)\ne 27~\hspace{8em}(-3)(-3)(-3)=-27&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\sqrt[3]{-125}\implies \sqrt[3]{-5^3}\implies -5\qquad because\qquad (-5)(-5)(-5)=-125&#10;\\\\\\&#10;however\qquad (5)(5)(5)\ne -125~\hspace{10em}(5)(5)(5)=125


so, when the root is an odd root, you will always get only one number that will produce the radicand.

6 0
3 years ago
A 600-ft tall building is represented by a 30-in. tall model.
alexdok [17]

\huge\boxed{19\ \text{inches}}

First, find the scale factor by dividing the first building's real-life height by its model height.

\frac{600}{30}=\frac{60}{3}=20

Now, we'll write an equation to find the model height of the second building.

r=20m

Here is an equation where r represents the real-life height of a building, 20 represents the scale factor, and m represents the model height of the same building.

Fill in the information we already know.

380=20m

Divide both sides by 20.

\frac{380}{20} = \frac{20m}{20}

\large{\boxed{19}}=m

So, the model height of the second building is 19 inches.

5 0
3 years ago
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