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2 years ago

What is the greatest common factor of 12xy2z and 8x2y?

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

5 0

Answer:

$GCF = 2xy = 2 \times x \times y$

Step-by-step explanation:

$12xy {}^{2} z = 2 \times 2 \times 3 \times x \times y \times y \times z \\ \\ 8x {}^{2} y = 2 \times 2 \times 2 \times x \times x \times y$

$GCF = 2xy = 2 \times x \times y$

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Linda bought a cube jewelry box. The volume of the jewelry box is 64 cubic inches. What is the edge length of Linda’s jewelry bo

yawa3891 [41]

Answer:

The edge length will be equal to 4 inches.

Step-by-step explanation:

The volume of a cube = s * s * s (in which s represent side of the cube)

V = s * s * s

V = s³

64 = s³

64 = 4³

So edge length of the cube will be 4 inches.

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2 years ago

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xenn [34]

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2 years ago

You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two e

Alenkinab [10]

First, let's count:

there are 26 possible outcomes for E1 (black card)

there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)

there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)

the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):

P(E1 and E2) = 18/52 (34.6%)

And as asked:

P(E1) = 26/52 = 1/2 (50%)

P(E2) = 36/52 = 9/13 (69.2%)

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2 years ago

A,B,C,D are points on the circumference of a circle centre o

Marina86 [1]

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

<h3>How to determine the measure of angle BAD?</h3>

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees