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3 years ago

Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below 15 and 39

2 answers:

7 0

Answer: approximately 42

Explanation:

39^2 + 15^2 = C^2
1521 + 225 = C^2
1746 = C^2
Sqrt 1746 = C
41.785...= C

C is approximately 42 where C is the length of the hypotenuse

ASHA 777 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

You did not attach a picture, so I just assumed where the lengths of 15 and 39 were.

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If a triangle has side lengths 5 cm, 18 cm, and 12 cm, is it a right triangle?

Dimas [21]

Answer:

No, it's not a right triangle.

Step-by-step explanation:

1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.

2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.

3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2

$5^2 + 12^2 = 18^2$
$25 + 144 = 324$
$169 \neq 324$

4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.

(Plus, it's not even a triangle because 7 < x < 17, and the third "side", 18, is not between 7 and 17.)

5 0

3 years ago

During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Ex

kotegsom [21]

Answer:

6 black pieces

10 red pieces

Step-by-step explanation:

The way to interpret ratios is like so:

Adding up both parts of the ratio gives 8, i.e. 3 + 5

So for every 8 pieces, 3 are black and 5 are red;

There are 16 pieces, which is 2 × 8;

So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red

So, to solve:

Add all parts of the ratio (3 + 5);

Divide the number of pieces (16) by this sum of ratio parts (8);

Multiply the value from the division (2) by each part of the ratio

Tip:

It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;

If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black

3 0

2 years ago

What is the sum of 9c+(8+3c)?

mixas84 [53]

9c+(8+3c)
9c+8+3c (collect like terms)

9c+3c+8
12c+8

12c+8 is the answer.
im not sure if your teacher also wants the answer to be in simplest form so im going to do that below as well:

12c+8 (4*3=12 and 4*2=8. you can take out a 4 from those 2 numbers)

4(3c+2) (this is the simplest form of 9c+(8+3c))

6 0

3 years ago

How does the value of log 2 100 compare with the value of log 6 20?

lys-0071 [83]

Answer:

Step-by-step explanation:

Cuz I said so

4 0

2 years ago

Simplify to create an equivalent expression. 2-4(5p+1)}2−4(5p+1)

ZanzabumX [31]

Answer: