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Arlecino [84]
1 year ago
8

Find the length of the third side. If necessary, write in simplest radical form.DV895

Mathematics
1 answer:
arlik [135]1 year ago
8 0

In order to solve the missing side for a right triangle, we can use the Pythagorean theorem

a^2+b^2=c^2

then, we rewrite the expression for on of the sides different from the hypotenuse

\begin{gathered} a^2=c^2-b^2 \\ a=\sqrt[]{c^2-b^2} \end{gathered}

replace with the values

\begin{gathered} a=\sqrt[]{(\sqrt[]{89})^2-5^2} \\ a=\sqrt[]{89-25} \\ a=\sqrt[]{64} \\ a=8 \end{gathered}

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I reached into my pocket and found that I have only dimes n nickels. I have 2.00. I have 11 coins. How many dimes do I have?
sdas [7]
This is not possible,  because if you had 11 coins,  then not even 11 dimes will cover it,  because 11*10 is 110,  or $1.10
6 0
3 years ago
Y(y + 4) - y 2 = 6 is a quadratic equation. True or False
Ugo [173]
Y(y + 4) - y2 = 6
y2 + 4y - y2 = 6
4y = 6 ⇒ False
3 0
3 years ago
Read 2 more answers
Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18,
melamori03 [73]

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

8 0
3 years ago
PLEASE!!!
ANEK [815]

9514 1404 393

Answer:

  1. 30m +50 = 20m +100
  2. m = 5
  3. yes. symmetric property of equality.

Step-by-step explanation:

1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...

  c = 20m +100

gives you ...

  30m +50 = 20m +100

__

2. Adding -50-20m to both sides gives ...

  10m = 50

  m = 5 . . . . . . . divide by 10

__

3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...

  c = 30m +50

to get ...

  20m +100 = 30m +50

This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).

You get the same solution.

3 0
3 years ago
(6 + 7) + 8 = 21
Travka [436]

Answer: 6+(7+8)=21

Step-by-step explanation:

1. By definition, the associative property of addition is:

(a+b)+c=a+(b+c)

This property says that you can group the numbers in different ways and you will obtain the same result.

2. Therefore, if you have the following expression:

(6+7)+8=21

You apply  the Asociative property of addition by regrouping the numbers as following:

6+(7+8)=21

3. Then, you can conclude that the correct option is B.



4 0
3 years ago
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