MATHEMATICS HIGH SCHOOL

Which of these choices is the length of the leg of a 45-45-90 triangle with a hypotenuse of 20? Select one:
a. 10
b. 20
c. 102√102
d. 202√

Answers

Answer 1
Answer:

Answer:  The correct choice is 10√2 units.

Step-by-step explanation:  We are given to select the correct choice that gives the length of the leg of a 45-45-90 triangle with a hypotenuse of 20.

Since the given triangle is an isosceles right-angled triangle, so let x units be the length of each of the legs.

Using the Pythagoras theorem, we get

x^2+x^2=20^2\n\n\Rightarrow 2x^2=400\n\n\Rightarrow x^2=(400)/(2)\n\n\Rightarrow x^2=200\n\n\Rightarrow x=\pm√(2*100)\n\n\Rightarrow x=\pm10\sqrt2.

Since x is the length of the leg of the given triangle, so we get

x = 10√2 units.

Thus, the correct choice is 10√2 units.
Answer 2
Answer: the answer would be b.20

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Answers

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

is tim as 11 cakes and mike has 7 and Emily has 11 more than time and mike combined how many does she have

Answers

11+7 = 14 \n14+11=25 \n\boxed{25}


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if a Balloon is filled with 282 cubic inches of a gas at a pressure of 14 pounds per square jnch, using inversely proportional find the new pressure of the gas if the volume is decreased to 47 cubic inches

Answers

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-9x + 12x + 10 simplifies to

Answers

Answer:

\boxed{\sf 3x + 10}

Step-by-step explanation:

Simplify the following:

⇒-9 x + 12 x + 10

Grouping like terms:

⇒(12 x - 9 x) + 10

12 x - 9 x = 3 x:

⇒3 x + 10
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Answers

Steps to solve:

4x + (15x + y) - 11y​

~Remove parenthesis and combine like terms

4x + 15x + y - 11y​

19x - 10y

Best of Luck!

Answer:

(64x -11)/y

Step-by-step explanation:

Multiply 4x into the parenthesis.

60x + 4xy -11y

Divide by y.

(60x + 4x -11)/y

(64x -11)/y

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Answers

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