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g100num [7]
3 years ago
12

On the number line about RT = 1/6. Point s ( not shown) is located between point r and point t. Which value is below is a possib

le value for point s
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer: you do the one

Step-by-step explanation:

Yeah

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Step-by-step explanation:

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Svetlanka [38]

Option a: 17.32 \ {m} is the length of b

Explanation:

The angle of B is \angle B=60^{\circ} and a=10 \ m

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

\angle A+\angle B+\angle C=180^{\circ}

\angle A+60^{\circ}+90^{\circ}=180^{\circ}

       \angle A+150^{\circ}=180^{\circ}

                   \angle A=30^{\circ}

Thus, the angle of A is \angle A=30^{\circ}

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

\frac{a}{\sin A}=\frac{b}{\sin B}

where a=10 \ m , \angle A=30^{\circ} , \angle B=60^{\circ}

Thus, we have,

\frac{10}{\sin 30}=\frac{b}{\sin 60}

Simplifying, we get,

\frac{10}{0.5}=\frac{b}{0.866}

Multiplying both sides by 0.866, we get,

\frac{10\times0.866}{0.5}=b

Multiplying the numerator, we have,

\frac{8.66}{0.5}=b

Dividing, we get,

17.32=b

Thus, the length of b is b=17.32 \ m

Hence, Option a is the correct answer.

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3 years ago
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6 0
3 years ago
Answers for these im strugglinh
Rainbow [258]

Answer:

Step-by-step explanation:

40.

Multiples of 3: 3,6,9,12, 15, …

Multiples of 5: 5, 10, 15, 20, …

LCM of 3 and 5 is 15

Multiples of 6: 6, 12, 18, 24,…

Multiples of 9: 9, 18, 27,…

LCM of 6 and 9 is 18

42.

1/2 and 2/3

denominator 2 has multiples: 2, 4, 6, 8, 10, 12 …

denominator 3 has multiples: 3, 6, 9, 12,…

LCD  of 1/2 and 2/3 is 6

equivalent fraction 1/2 = 3(1/2) = 3/6

equivalent fraction 2/3 = 2(2/3) = 4/6

43.

5/12 and 2/15

denominator 12 has multiples: 12, 24, 36, 48, 60…

denominator 15 has multiples: 15, 30, 45, 60…

LCD  of 5/12 and 2/15 is 60

equivalent fraction 5/12 = 5(5/12) = 25/60

equivalent fraction 2/15 = 4(2/15) = 8/60

44.

16/48 has the prime factorization 2*2*2*2/ 2*2*2*2*3

16/48 simplification is 1/3

45.

12/40 has the prime factorization 2*2*3/2*2*2*5

12/40 simplification is 3/ 10

46.

18/63 has the prime factorization 2*3*3/ 3*3*7

18/63 simplification is 2/7

5 0
3 years ago
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