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Paladinen [302]
2 years ago
13

Given sin0= 3/7, and tan0 <0, what is the value of coso?

Mathematics
1 answer:
spin [16.1K]2 years ago
8 0

sin θ = 3 / 7 = .429

sin^2 θ + cos^2 θ = 1      trig identity

9/49 + cos^2 θ = 1

cos^2 θ = 40 / 49 = .816       cos θ = .903

Check .429^2 + .903^2 = 1

cos .903 = 25.4 deg

In the second quadrant sin = +, cos = -, tan = -

So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg

Check:

sin 154.6 = .428

cos 154.6 = -.903

tan 154.6 = -.475

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Is the distance between -7 and -13 on a number line 6?
sattari [20]

Answer:

yes

Step-by-step explanation:

13-7=6 so that's the difference

4 0
2 years ago
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si
RSB [31]

Answer:

The height of the second prism is 12 units.

Step-by-step explanation:

First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

Volume= 15^2 x\\2700/225=x\\12=x

6 0
2 years ago
(50 points &amp; Will give brainliest)
sweet-ann [11.9K]

Answer:

x = 3 , y = 13

Step-by-step explanation:

Note that both equations is equal to y. Set the two equations equal to each other

y = 7x - 8; y = 5x - 2

7x - 8 = y = 5x - 2

7x - 8 = 5x - 2

Isolate the x. Subtract 5x and add 8 to both sides

7x (-5x) - 8 (+8) = 5x (-5x) - 2 (+8)

7x - 5x = -2 + 8

Simplify.

(7x - 5x) = (-2 + 8)

2x = 6

Isolate the x. Divide 2 from both sides

(2x)/2 = (6)/2

x = 6/2

x = 3

---------------------------------------------------------------------------------------------------

Plug in 3 for x in one of the equations.

y = 7x - 8

y = 7(3) - 8

Simplify. Remember to follow PEMDAS.

y = 7(3) - 8

y = 21 - 8

y = 13

---------------------------------------------------------------------------------------------------

x = 3, y = 13 is your answer

~

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3 years ago
What is solution to 3/5=z/10
zhannawk [14.2K]
Z=6

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7 0
3 years ago
Read 2 more answers
use coordinate notation to write the rule that maps each preimage to its image. The identify the transformation and confirm that
Ymorist [56]

The <em>rigid</em> transformations used for each figure:

  1. Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
  2. Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)

<h3>What transformation rules do create the resulting images?</h3>

In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

To learn more on transformation rules: brainly.com/question/9201867

#SPJ1

8 0
2 years ago
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