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Sonbull [250]
2 years ago
9

Find the sine and cosine of the angle whose terminal side passes through (-7,2)

Mathematics
1 answer:
kolezko [41]2 years ago
4 0

Answer:

The sine = 0.2724 and the cosine =  -0.9615  to  4 decimal places.

Step-by-step explanation:

The point (-7,2) is in the second quadrant .

The sine is positive and the cosine is negative,.

The hypotenuse of the triangle in the second quadrant =  √((-7)^2 + 2^2)

= √53   ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.

So the sine  of the angle is 2 /√53 and the cosine is  -7/√53.

or 0.2724 and -0.9615  to  4 decimal places.

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Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website. The solu
Furkat [3]

Answer with explanation:

Amount that tyler had for buying number of songs from his favorite music website=$ 20

A number line is given which describe the possible quantities of songs that Tyler can buy.

1. No more than 8 songs

4.at most 8 songs

6.a maximum of 8 songs

3 0
3 years ago
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John is making himself a lunch. He has three different soups to choose from, four kinds of soda, and three different kinds of fr
Levart [38]
<span>3*4*3=36 so the answer is 36</span>
3 0
3 years ago
Please help me, I know it’s not the first one but I think it’s the last one. Can somebody please confirm or deny?
GaryK [48]

Answer:

B. 2.2π m² : 3.2π m²

Step-by-step explanation:

Given:

Slant height (l) = 2.2 m

Diameter (d) = 2 m

Radius (r) = ½(2) = 1 m

Required:

Lateral area and surface area

Solution:

✔️Formula for lateral area of a cone = πrl

Plug in the values

Lateral area of the cone = π*1*2.2

Lateral area = 2.2π m²

✔️ Formula for surface area of a cone = πr(l + r)

Plug in the values

Surface area of the cone = π*1(2.2 + 1)

Surface area = π(3.2)

Surface area = 3.2π m²

The answer would therefore be:

2.2π m² : 3.2π m²

7 0
2 years ago
Describe the possible values for x and y when ∣x − y ∣ &gt; 0. What does it mean when ∣x − y ∣ = 0? Can ∣x − y ∣ &lt; 0? Explain
Vilka [71]
The possible values for | x-y | > 0 is any number above 0. x must be greater than y. When | x-y | = 0, That means that x and y are equal to each other. | x-y | can not be less than 0, but it can equal 0.

Hope that this helped!
4 0
3 years ago
Based on the graphs of f (x) and g(x), what must the domain of (f ⋅ g)(x) be?
bekas [8.4K]

Using the concept of domain, the domain of (f.g)(x) is given by:

{x ∈ ℝ | x ≠ 3}

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

  • The domain of a function is given by all possible input values, that is, <u>on a graph, all values that the x-axis assumes.</u>
  • In the graph, <u>function f assumes all real values.</u>
  • Function g is not defined for x = 3, thus, it's domain is all real values except 3.
  • Thus, the multiplication, as fg(x) = f(x) \times g(x), will also not be defined at x = 3, and the domain of the multiplication is:

{x ∈ ℝ | x ≠ 3}

A similar problem is given at brainly.com/question/4175434

4 0
3 years ago
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