Each leg of a 45°-45°-90° triangle measures 12 cm.

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

12 sqrt(2)

Step-by-step explanation:

Givens

a = 12 cm

b = 12 cm

c = ??

The triangle is isosceles with 1 right angle and 2 45 degree angles.

Formula

c^2 = a^2 + b^2

c^2 = 12^2 + 12^2

c^2 = 144 + 144

c^2 = 288

c^2 = 144 * 2

c = sqrt(144) * sqrt(2)

c = 12 * sqrt(2)

The answer isn't there. 12*sqrt(2) is the correct answer, 12sqrt(3).

Was this just a typo of some kind.

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Dan bought 8 shirts and 3 pants. Devonte bought 12 shirts and 5 pants. For each person, write a ratio to represent the number of

shutvik [7]

Answer:

Step-by-step explanation:

Dan bought 8 shirts and 3 pants. This means that the ratio representing the number of shirts to the number of pants that Dan bought is 8/3 = 2.67

Devonte bought 12 shirts and 5 pants. This means that the ratio representing the number of shirts to the number of pants that Devonte bought is 12/5 = 2.4

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3 years ago

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

photoshop1234 [79]

Answer:

value of n = 2

Step-by-step explanation:

$\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}$

We need to solve the above equation.

Find Least Common multiplier from 5n, 5 = 5n

Multiply both sides of the equation by 5n

$\frac{4}{5n}*5n-\frac{1}{5}*5n=\frac{2}{5n}*5n\\Solving:\\4 -n = 2\\$

Now finding the value of n.

Adding -4 on both sides

$4 -n-4 = 2-4\\-n= -2$

Multiplying both sides by -1

n = 2

The value of n is 2.

We can verify by putting value of n in the given question.

$\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}\\n=2\\\frac{4}{5*2}-\frac{1}{5}=\frac{2}{5*2}\\\frac{4}{10}-\frac{1}{5}=\frac{2}{10}\\\frac{2}{5}-\frac{1}{5}=\frac{1}{5}\\\frac{2-1}{5}=\frac{1}{5}\\\frac{1}{5}=\frac{1}{5}$