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Norma-Jean [14]
3 years ago
11

Which is the length of the hypotenuse, x, if (12,35,x) is a Pythagorean triple

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0
37 is the correct answer givenbthat 12 and 35 are the original baces but if not then the hypotenuse is 6.08
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Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
Neko [114]

9514 1404 393

Answer:

  (8.49; 225°)

Step-by-step explanation:

The angle is a 3rd-quadrant angle. The reference angle will be ...

  arctan(-6/-6) = 45°

In the 3rd quadrant, the angle is 45° +180° = 225°.

The magnitude of the vector to the point is its distance from the origin:

  √((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49

The polar coordinates can be written as (8.49; 225°).

_____

<em>Additional comment</em>

My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.

3 0
3 years ago
A moving sidewalk takes zoo visitors up a hill. The
irina [24]

Answer:

x = 185.458 ft

Step-by-step explanation:

When we draw a picture, we are able to see that we need to use sin∅ to solve this problem:

sin15° = 48/x

xsin15° = 48

x = 48/sin14°

7 0
3 years ago
Please help!!!!!!!!!!!!!!
tiny-mole [99]

Answer:

53.1 degrees

Step-by-step explanation:

use sohcahtoa

sin(x) = 12/15

sin(x) = 0.8

sin-1(0.8) = 53.1301

5 0
3 years ago
Which set or ordered pairs represents y as a unction Or X!
Zepler [3.9K]

A relation is said to be a function when every element in the domain has one and only one distinct image in the co- domain.

In the first three options , one single element in domain has more than one image.

(-2,3), (-2, 2), (-2, 1), (-2, 0)

here -2 as an element in the domain has 3,2,1,0 has image-----> so not a function

(10, 15), (5, 1), (10, 6), (6, 10)

Here 10 , an element in the domain has 15,6 as image-----> so not a function

(-11, 2), (3,8), (3, 2), (2, 2)

Here 3, as an element in the domain has 8 and 2 as image-----> so not a function

So, OPTION D

(1,6), (2, 5), (10, 5), (-17, 8)

7 0
3 years ago
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel. Explain,
Oksana_A [137]
Answer:
d

Step-by-step explanation:

Slope intercept form: y = mx + b

y = -x + 7
x + y = 21

x + y = 21
-x -x
y = -x + 21


y = -x + 7
y = -x + 21

Parallel lines have the same slope. Here, our slope is -1

Therefore, our final answer is d.


Hope this helps!
8 0
2 years ago
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