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Nezavi [6.7K]
3 years ago
6

Calculate the radius of a circle if it’s circumference is 37.7cm

Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0
Circumference = 2\pir

Solve for r.

2\pir = 37.7
Divide both sides by 2.

\pir = 18.85
Divide both sides by \pi.

r = 6

The radius is 6 cm.
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4^2[1/3+4(36÷6)] Show work please.
Vaselesa [24]

Answer:

1168/3 or 389 1/3 as a mixed fraction

Step-by-step explanation:

Simplify the following:

4^2 (4×36/6 + 1/3)

4×36/6 = (4×36)/6:

4^2 ((4×36)/6 + 1/3)

4^2 = 16:

16 ((4×36)/6 + 1/3)

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16 (4×6 + 1/3)

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16 (24 + 1/3)

Put 1/3 + 24 over the common denominator 3. 1/3 + 24 = 1/3 + (3×24)/3:

16 1/3 + (3×24)/3

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16 (1/3 + 72/3)

1/3 + 72/3 = (1 + 72)/3:

16 (1 + 72)/3

1 + 72 = 73:

16×73/3

16×73/3 = (16×73)/3:

(16×73)/3

| | 7 | 3

× | | 1 | 6

| 4 | 3 | 8

| 7 | 3 | 0

1 | 1 | 6 | 8:

Answer:  1168/3

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B10%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B5%7D%20" id="TexFormula1" title=" \fr
Nimfa-mama [501]
You may solve this ratio by cross multiplying. To do this, you multiply the numbers diagonally across from each other.

    x/10 = 1/5
    10(1) = x(5)
        10 = 5x
          2 = x

Answer:
x = 2
4 0
3 years ago
Can someone show me how to solve either one of these?
Ludmilka [50]

Answer:

x = 2.3

Measure of arc XY = 76° ⇒ answer (D)

Step-by-step explanation:

∵ arc XY congruent to arc YZ

∴ XY = YZ ⇒ chords subtended by equal arcs are equal

∴ 3x = 6.9 ⇒ x = 6.9/3

∴ x = 2.3

In ΔOXY

∵ OX = OY radii

∴ m∠OXY = m∠OYX

∵ m∠OXY = 52°

∴ m∠OYX = 52°

∵ The sum of angles of a Δ = 180°

∴ m∠XOY = 180 - 2 × 52 = 76°

∵ ∠XOY is central angle subtended by arc XY

∴ The measure of arc XY = m∠XOY = 76°

7 0
3 years ago
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