All categories

3 years ago

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

Mathematics

1 answer:

KonstantinChe [14]3 years ago

5 0

Choice 1. He did not square 40, he just multiplied by 2.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.

Step 2:

According to the Pythagorean theorem,

$9^{2} +40^{2} = c^{2}.$

$81 + 1600 = c^{2} .$

$1681 = c^{2} .$

$\sqrt{1681} = c.$

This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.

You might be interested in

If you had a rubik's cube with 10 little squares on each side, and peeled off the outer layer, how many little cubes would you e

Pachacha [2.7K]

There is 6 sides in a cube, multiplying we get the number of squares:
6*10 = 60 little squares.
Peeling off one layer means subtracting 10 squares from the above numbers like this:
60 - 10 = 50.

Answer: we end up with 50 littles squares.

7 0

3 years ago

Read 2 more answers

24cm long 16cm wide whars the ratio

Andrej [43]

24:16 which is simplified by dividing both sides by 8 so it becomes:
3:2

Hope this helps :)

3 0

3 years ago

Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7

34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

6 0

3 years ago

If r || s and m 5 = 65°, what is m 1?

lesya [120]

1 and 5 are corresponding angles, so both have the same measure:

m 1 = m 5

m 1 = 65º

Answer: option D. 65º.

I hope this helps. =)

8 0

3 years ago

The line is given by equation y–1.5x = c. What is the value of c if the line passes through the point K (2, –3).

aleksandr82 [10.1K]

Answer:

c = -6

Step-by-step explanation:

To find the value of c to make the line pass through the point K = (2, -3), we just need to use the values of x = 2 and y = -3 in the equation, then we find the value of c.

So, we have that:

y - 1.5*x = c

(-3) - 1.5 * (2) = c

-3 - 3 = c

c = -6

So the value of c is -6

To check if the value is correct, we can use the value x = 2 and see if the value of y is -3:

y - 1.5*x = -6

y - 1.5*2 = -6

y - 3 = -6

y = -6 + 3 = -3

So it's correct.

7 0

3 years ago

Read 2 more answers

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error? ​

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?