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Montano1993 [528]
3 years ago
8

A central angle in a circle with radius 7 inches has the measure θ , in radians. The length of the arc subtended by the central

angle is 5π/3 inches.
What is the value of θ , rounded to the nearest tenth of a radian?

θ≈

You get 25 points if answered :)
Mathematics
1 answer:
Ahat [919]3 years ago
6 0
The relationship between arc, radius, and central angle in radians is:

Θ = s/r

So just plugging in the values:

Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7
You might be interested in
If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?
zlopas [31]

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

6 0
3 years ago
There is a bag filled with 6 blue and 5 red marbles.
s344n2d4d5 [400]

Answer:

1/11

Step-by-step explanation:

probability =total number of items ÷ 1

=11÷1

=1/11

8 0
2 years ago
Factor the expression.
tiny-mole [99]
B. (k+10f)(k-5f) you can tell in 2 ways.  1. if the second sign is neg then the signs in the factors are going to be one neg and one positive so that knocks out C and D.  Then you look at the second term and since the 5 is positive then the 10 has to be positive so you end up with a positive 5kf.

The second way is to FOIL them out.  When you check B you get k^{2} -5kf+10kf- 50f^{2} combine your like terms and you have your original expression of k^{2} +5kf-50 f^{2}

Hope that helps
3 0
3 years ago
What’s the answer to the problem
Maru [420]
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
m
=
√
130
10
,
−
√
130
10
m
=
130
10
,
-
130
10
Decimal Form:
m
=
1.14017542
…
,
−
1.14017542
…
7 0
3 years ago
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
Read 2 more answers
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