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liberstina [14]
3 years ago
12

What is the length of AC¯¯¯¯¯ ?

Mathematics
2 answers:
Harman [31]3 years ago
5 0

Answer:

AC = 12.38 cm

Step-by-step explanation:

When there are 2 pairs given, we can use the sine rule to solve the problem.

By pairs we mean "an angle and side opposite to it"

<em>1 pair is 85.2 degree angle and 13 cm, and another pair is 71.6 degree angle and the side AC (which we want to figure out).</em>

<em />

Sine Rule is given by \frac{SinA}{a}=\frac{SinB}{b}

where,

A and B are the two respective angles and a and b are the two respective sides (of the pairs). Plugging all the info and using algebra, we have:

\frac{Sin85.2}{13}=\frac{Sin71.6}{AC}\\AC*Sin85.2=13*Sin71.6\\AC=\frac{13*Sin71.6}{Sin85.2}\\AC=12.38

Thus, AC = 12.38 cm

jek_recluse [69]3 years ago
5 0

<u>Answer:</u>

AC = 12.38 cm

<u>Step-by-step explanation:</u>

We are given a triangle ABC with two known angles and one known side length and we are to find the length of another side AC.

For this, we can use the sine rule and its formula is given by:

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

Substituting the given values in the above formula:

\frac {13} {sin(85.2)} = \frac {AC} {sin(71.6)}

AC = \frac {13} {sin(85.2)} * sin (71.6)

AC = 12.38 cm

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The triangle below is equilateral. Find the length of side x in simplist radical form with a rational denominator.
Stolb23 [73]

The most appropriate choice for equilateral triangle will be given by

Value of x = \frac{9\sqrt{3}}{2}

What is equilateral triangle?

A closed two dimensional figure with three sides and three angles is called triangle.

Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene

The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle  are 60°

Here,

Since the triangle is equilateral, angle of triangle is 60°

sin 60° = \frac{x}{9}

\frac{\sqrt{3}}{2} = \frac{x}{9}

x = \frac{9\sqrt{3}}{2}

To learn more about equilateral triangle, refer to the link:

brainly.com/question/2351368

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9 months ago
Peter wants to make for necklaces that are the same way. He asked his friends to cut the string for the necklace is 15 paper cli
postnew [5]

Correct question is;

Peter wants to make four necklaces that are the same way. He asked his friends to cut the string for the necklace 15 paper clips long. Would all the lengths be the same? Explain your think

Answer:

No, the lengths would not be the same. This is due to the fact the the paper clips could be in different sizes.

Step-by-step explanation:

We are told that he wants to make four necklaces that are the same way and that he told his friends to cut the string for the necklace 15 paper clips long.

Now, we are not told the sizes of the paper clips and we know that paper clips come in different sizes. Thus the paper clips in which the strings are cut could be in different sizes. Therefore, the lengths wouldn't be the same due to that.

5 0
2 years ago
Please answer I’ll rate brainlyest
Dafna1 [17]

Answer:

54.1%

Step-by-step explanation:

From the table, the total number of patients with type-B blood is given as 183. On the other hand, the number of males with type-B blood is given as 99. The percentage of patients with type-B blood who are males can be calculated as;

(the number of males with type-B blood/the total number of patients with type-B blood) * 100%;

( 99/183) * 100 = 54.1%

Therefore, the percentage of patients with type-B blood who are males is 54.1

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2 years ago
drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This mon
Kisachek [45]

Complete question is:

A large pool of adults earning their first drivers license includes 50% low- risk drivers, 30% moderate-risk drivers, and 20% high-risk drivers. Because these drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This month, the insurance company writes 4 new policies for adults earning their first drivers license. What is the probability that these 4 will contain at least two more high-risk drivers than low-risk drivers?

Answer:

probability that these 4 will contain at least two more high-risk drivers than low-risk drivers = 0.0488

Step-by-step explanation:

Let H represent High risk

M represent moderate risk

L represent Low risk.

The following combinations will satisfy the condition that there are at least two more high-risk drivers than low-risk drivers: HHHH, HHHL, HHHM, HHMM

The HHHH case has probability 0.2 ⁴ = 0.0016

The HHHL case has probability 4 × 0.2³ × 0.3 = 0.0096 (This is because L can be in four different places)

Similarly, the HHHM case has probability 4 × 0.2 ³ × 0.5 = 0.016

Lastly, the HHMM case has probability 6 × 0.2 ² × 0.3 ² = 0.0216 (This is because the number of ways to choose places for two M letters in this way is 6)

Summing all these probabilities, we have;

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2m-1-5m+4 

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