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Sonbull [250]
3 years ago
10

A circle has a circumference of \blue{6}6start color #6495ed, 6, end color #6495ed. It has an arc of length \dfrac{17}{3}

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

The central angle of the arc is 340°

Step-by-step explanation:

The formula for calculating the area of an arc = theta/360° × 2πr

Note that circumference of the circle = 2πr

The area of an arc = theta/360° × circumference of the circle

Given length of the arc = 17/3

Circumference of the circle = 2πr = 6

On substitution;

17/3 = theta/360 × 6

17/3 = theta/60

Cross multiplying;

3theta = 17×60

theta = 17×60/3

theta = 17×20

theta = 340°

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Step-by-step explanation:

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5 0
3 years ago
if f(1) = -5 and f(n) = f(n-1) +7, find the first four terms and the common difference of the sequence
Alex_Xolod [135]

Answer:

- 5, 2, 9, 16 and d = + 7

Step-by-step explanation:

to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula

f(1) = - 5 ← given

f(2) = f(1) + 7 = - 5 + 7 = 2

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6 0
3 years ago
In ΔEFG, the measure of ∠G=90°, EF = 95 feet, and FG = 26 feet. Find the measure of ∠F to the nearest degree.
Firdavs [7]

Answer:

74.4°

Step-by-step explanation:

Given

  • ∠G=90° => ΔEFG is a right triangle
  • EF = 95 feet
  • FG = 26 feet

Use sine law to find ∠F

As we know:

Sin(GEF)/ GF = Sin(EGF)/EF

<=> Sin(GEF) / 26 = Sin(90)/95

<=>Sin(GEF) / 26 = 1/95

<=> Sin(GEF)  = 26/95

<=> ∠GEF ≈ 15.8°

=> ∠F = 180° - ∠G - ∠GEF

∠F = 180° - 90° - 15.8° = 74.4°

3 0
3 years ago
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Step-by-step explanation:

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