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Mathematics

1 answer:

Arturiano [62]3 years ago

4 0

Answer:

DEF = 103

Step-by-step explanation:

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A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.

dmitriy555 [2]

A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b

10b = 30√2; b = 3√2

sin α = 3√2 / 6; α = 45 degrees

Small angle: 45°; Large angle: 135°

4 0

3 years ago

Asphere which has a diameter of 6 inches has a volume of:

earnstyle [38]

Answer:

9.42 cubic inches

Step-by-step explanation:

In order to find the volume for a sphere, we use the formula V = πr. For the sake of simplicity, we will be using 3.14 for π. Before we plug anything in, let's get our radius. Remember, the radius is half of the diameter.

Equation: d = 2r

Replace: 6 = 2r

Divide: 3 = r

Now that we have our radius, let's plug in what we have and solve.

Equation: V = 3.14r

Replace: V = 3.14(3)

Multiply: V = 9.42

Remember, volume is measured in cubic units, so use cubic inches for the unit here.

4 0

3 years ago

(Inscribed Angles)

Alik [6]

Answer:

(D) 30 degrees

Step-by-step explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Theorem(Inscribed Angles Conjecture I): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

By the theorem above and from the attached diagram,

Inscribed Angle p =Half of 60 degrees

$\angle p=0.5 X 60^\circ\\p=30^\circ$