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MA_775_DIABLO [31]
3 years ago
10

A circle has a radius of 8cm. An angle of 1.4 radians is subtended at the center by an arc. Calculate the length of the arc

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

11.2 cm

Step-by-step explanation:

Given that;

Arc Length Formula (if θ is in radians): l = ϴ × r

ϴ = angle subtended in radians

r= radius of the circle

l = 8cm × 1.4 radians

l= 11.2 cm

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Each week 9 3/4 dozen eggs are sold.<br>How long will 95 1/2 dozen eggs last?​
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it will be approximately 10 weeks

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Write this multiplication expression using an exponent: 2 . 2 . 2 = ?
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Which plane is closer to the base of the airport tower? Explain.
Annette [7]

Answer:

Plane B is closer.

Step-by-step explanation:

Plane B is closer.

The distance for Plane A is 7.9 km.

The distance for Plane B is 7.4 km.

Step-by-step explanation:

To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...

-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km

-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km

The Pythagorean theorem can be used to find the distance from each plane to the tower:

-- distance = √((ground distance)² + (height)²)

-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km

-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km

The distance for Plane B is shorter, so Plane B is closer to the tower.

7 0
3 years ago
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Walt received a package that is 2 1/3 inches long, 6 ¾ inches high, and 8 ½ inches wide. What is the surface area of the package
Umnica [9.8K]

The surface area of prism is 185.815 square inches

<em><u>Solution:</u></em>

Given that,

Length = 2\frac{1}{3}\ inches = \frac{3 \times 2 + 1}{3} = \frac{7}{3}\ inches = 2.33\ inches

Width = 8\frac{1}{2}\ inches = \frac{17}{2}\ inches = 8.5\ inches

Height = 6\frac{3}{4}\ inches = \frac{27}{4}\ inches = 6.75\ inches

<em><u>The surface area of package is given as:</u></em>

A=2(wl+hl+hw)

Where,

"l" is the length

"w" is the width

"h" is the height

<em><u>Substituting the values we get,</u></em>

A = 2((8.5 \times 2.33) + (6.75 \times 2.33) + (6.75 \times 8.5))\\\\Simplify\ the\ above\ equation\\\\A = 2(19.805+15.7275+57.375)\\\\A = 2 \times 92.9075\\\\A = 185.815

Thus the surface area of prism is 185.815 square inches

3 0
3 years ago
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