solve each equation below. check for extraneous solutions. please help and show work because i have no idea how to do this

Mathematics

1 answer:

Naya [18.7K]3 years ago

4 0

Hi Pls find attached file for both solutions

Hope i did not do any calculation mistake:)

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In a right triangle the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are

RSB [31]

Answer:

The hypotenuse of the triangle measures 13 inches.

Step-by-step explanation:

Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:

5 ^ 2 + 12 ^ 2 = X ^ 2

25 + 144 = X ^ 2

√169 = X

13 = X

Therefore, the hypotenuse of the triangle measures 13 inches.

4 0

3 years ago

Read 2 more answers

DOES ANYONE KNOW HOW TO DO THIS

LuckyWell [14K]

Answer: B

Step-by-step explanation:

7 0

3 years ago

Not including tax, 14 pieces of clothing cost $107. Pants cost $12.50 and shirts cost $4.00. No other types of clothes were purc

galben [10]

I would say that could one equation 12.5p+4s=107

4 0

3 years ago

Read 2 more answers

Please help me with 1,2 I need help show me how you get the answer and the solution for both please

Ede4ka [16]

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that $a^2+b^2=c^2$ when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

1) Question 1

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

$a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2$

Take the square root of both sides

$\sqrt{169}=\sqrt{c^2} \\13=c$

Therefore, the length of the ladder is 13 ft.

2) Question 2

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

$20^2+12^2=c^2\\400+144=c^2\\544=c^2$