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2 years ago

I need to know the answer I’m working on rational numubers

Mathematics

1 answer:

lesya [120]2 years ago

3 0

Answer:

Fraction Form: $\frac{11}{24}$

Decimal Form: 0.4583

Step-by-step explanation:

Apply the fraction rule: $\frac{-a}{b} = - \frac{a}{b}$

$\frac{-5}{12} = - \frac{5}{12}$

$- \frac{5}{12} + \frac{7}{8}$

Least Common Multiple (LCM) of 12 and 8: 24

$- \frac{5}{12} x \frac{2}{2} = - \frac{10}{24} \\\\\frac{7}{8} x \frac{3}{3} = \frac{21}{24} \\\\- \frac{10}{24} + \frac{21}{24}$

Apply the fraction rule:

$\frac{a}{c} + \frac{b}{c}= \frac{a + b}{c}\\\\\frac{-10 + 21}{24} \\\\-10 + 21 = 11\\\\\frac{11}{24}$

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The perpendicular bisector of side AB of ∆ABC intersects side AB at point D and BC at point E. If m∠CAB = 82° and m∠C = 68°, fin

riadik2000 [5.3K]

Check the picture below.

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8 0

3 years ago

Normal six-sided dice have a different number of pips on each face, from 1 to 6. You roll two such dice and add the result.

NARA [144]

Answer:

1) 16.7% probability of rolling 10+.

2) 50% probability an odd number is rolled.

3) 7 is the most likely total result.

Step-by-step explanation:

These are all the possible outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes

1) what is the probability of rolling 10+?

There are 6 possible outcomes in which 10+ is rolled:

(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).

So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

2) what is the probability of rolling an odd number?

There are 18 possible outcomes in which an odd number is rolled.

So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

3) what is the total that is most likely to result?

There are 6 outcomes in which 7 is rolled.

So 7 is the most likely total result.

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3 years ago

Help me with this equation!

vlada-n [284]

The correct answer is B. -12

8 0

3 years ago

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(9g+7)+(3g+6) what is the awnser simplify

dolphi86 [110]

Answer:

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3 years ago

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A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f

Pie

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

6 0

3 years ago