Please show me step by step

For the values given, a and b are legs of right triangle. find the length of the hypotenuse. If necessary, round to the nearest

Paladinen [302]

The relation between the legs and the hypotenuse of the right-angled triangle can be expressed using the Pythagorean theorem as follows:

$hypotenuse = \sqrt{(leg1)^2 + (leg2)^2}$

We are given that a and b are the legs and we need to compute the hypotenuse. This means that all we need to do is substitute in the above formula.

Question 7:

a = 6 and b = 8

hypotenuse = $\sqrt{(6)^2 + (8)^2} = 10$ units

Question 8:

a = 5 and b = 9

hypotenuse = $\sqrt{(5)^2 + (9)^2} = 10.29$ units which is approximately 10.3 units

Question 9:

a = 4 and b = 10

hypotenuse = $\sqrt{(4)^2 + (10)^2} = 10.77$ units which is approximately 10.8 units

Question 10:

a = 9 and b = 1

hypotenuse = $\sqrt{(9)^2 + (1)^2} = 9.05$ units which is approximately 9.1 units

Question 11:

a = 7 and b = 3.5

hypotenuse = $\sqrt{(7)^2 + (3.5)^2} = 7.82$ units which is approximately 7.8 units

Question 12:

a = 1.4 and b = 2.3

hypotenuse = $\sqrt{(1.4)^2 + (2.3)^2} = 2.69$ units which is approximately 2.7 units

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Which number has the same value as 28 tens?

PIT_PIT [208]

If it is 28 sets of then then it world be 280

you multiply 28x10 to get 280

7 0

3 years ago

P' (12,-3) is the image of P after a dilation centered at the origin with a scale factor of 3. What are the coordinates of P?

dolphi86 [110]

Answer:

P (4, - 1 )

Step-by-step explanation:

The image coordinates are 3 times the original coordinates.

To find the original coordinates divide the image coordinates by 3

P (12 ÷ 3, - 3 ÷ 3 ) → P (4, - 1 )

6 0

2 years ago

1.2.1

Margarita [4]

Answer:

I think its 0.69508 hours.

Step-by-step explanation:

3 0

3 years ago

Am I correct ??? I don’t really know

Setler [38]

What you have here is a situation with two similar triangles. The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: the ratios of their corresponding sides are equivalent. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have

$\frac{64}{x}= \frac{x}{36}$

Multiplying both sides of the equation by 36 and x, we get

$64\cdot36=x^2$

finally, we take the square root of both sides of the equation to find x:

$\sqrt{64\cdot36}=x\\
\sqrt{64}\sqrt{36}=x\\
8\cdot6=x\\
48=x$

4 0

3 years ago

Please show me step by step​

Please show me step by step