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swat32
3 years ago
13

What is the arc length when θ = 3 pi over 5 and the radius is 7 cm? (5 points)

Mathematics
1 answer:
erastova [34]3 years ago
4 0
The correct answer is 21π/5

Explanation:
The arc length of a circle is given as = radius × angle subtended by the arc at centre.
Here, r = 7 cm.
θ = 3π/5
Therefore, arc length, l = rθ = 7×3π/5 = 21π/5
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Complete the identity
spin [16.1K]

Answer: cos(\pi-x)=-cos(x)

Step-by-step explanation:

We need to apply the following identity:

cos(A - B) = cos A*cos B + sinA*sin B

Then, applying this, you know that for cos(\pi-x):

cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)

We need to remember that:

cos(\pi)=-1 and sin(\pi)=0

Therefore, we need to substitute these values into cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x).

Then, you get:

cos(\pi-x)=(-1)*cos(x)+0*sin(x)

cos(\pi-x)=-1cos(x)+0

cos(\pi-x)=-cos(x)

8 0
3 years ago
Apothem =<br> Side =<br> Radius =<br> Perimeter =<br> Area =
Dafna11 [192]

Answer:

I dont understand th equestion

Step-by-step explanation:

4 0
3 years ago
The value of the fraction 3c+2/4 one less than the value of the fraction 5c-1/3.
Viefleur [7K]

Answer:

7/8 > 5/6

Step-by-step explanation:

A) 7/8

We can compare this as follows.

Lets say both are equal.

Cross multiplying these we get 40=42

We get 40<42. In fraction we get

In case if you want to convert this to decimal, we get;

5/6 = 0.833 and 7/8 = 0.875

We get 5/6<7/8

B) 4/5

Similarly we get 4/5 = 0.8 and 5/6 = 0.833

Here 4/5<5/6

C) 3/4

we get 3/4 = 0.75 and 5/6 = 0.833

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D) 2/3

we get 2/3 = 0.66 and 5/6 = 0.833

2/3<5/6

Step-by-step explanation:

5 0
3 years ago
Of all college degrees awarded in the United States, 50% are bachelor's degrees, 59% are earned by women, and 29% are bachelor's
Natasha2012 [34]

Answer:

  P(W|B) = 0.58

Step-by-step explanation:

The conditional probability formula tells you ...

  P(W | B) = P(W&B) / P(B)

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3 years ago
Can you please find the domain and the range
ohaa [14]

Answer:

  • domain: (-4, ∞)
  • range: [-4, ∞)

Step-by-step explanation:

The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).

__

The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).

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Interval notation uses square brackets when the value is included in the interval. It uses round brackets (parentheses) when the end value is not included in the interval. ∞ is not a number, so that end always gets a round bracket.

6 0
3 years ago
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