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jeyben [28]
3 years ago
13

There are 6 students participating in a poetry contest, in how many ways can the students who go first and second in the bee be

chosen?
Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

There are are 30 possible ways for the 6 students to be ranked 1st and 2nd

Step-by-step explanation:

There are 6 students, and any of them could receive first place. Therefore, there are 6 possibilities for first place.

A student cannot receive first and second place, so the student who won first place cannot also win second place. Therefore, there are only 5 students who could win second place.

We can multiply these two possibilities to find the number of possible rankings of 1st and 2nd

6*5=30

There are are 30 possible ways for the 6 students to be ranked 1st and 2nd....

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A dining room is 21 ft long. On a blueprint, the dining room is 3.5 ft long and 2.5 ft wide. The actual width of the dining room
mars1129 [50]

Answer:

15 ft.

Step-by-step explanation:

the ratio of the real room to the blueprint is 21/3.5, which simplifies to 6.

You have to multiply 6 by 2.5 to get 15

4 0
2 years ago
4) Solve ∆ABC, a = 2.5 cm, c = 3.6 cm, and ∠A = 43°. Begin by sketching and labelling
mezya [45]

The length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

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

Given;

  • a = 2. 5cm
  • c = 3. 6cm
  • ∠A = 43°

Let's find angle C

\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = sin^-^1(0. 982)

C = 79°

To find length of b

b= \sqrt{c^2 - a^2}

substitute the values

b = \sqrt{3.6^2 - 2. 5^2}

b = \sqrt{6. 71}

b = 2. 59 cm

b = 3cm

To find angle B, we have

\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

B = sin^-^1(0. 7065)

B = 45°

Hence, the length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

Learn more about sine rule here:

brainly.com/question/12827625

#SPJ1

8 0
1 year ago
A population of lizards decreases exponentially at a rate of 12.5% per year. What is the equivalent monthly rate to the nearest
soldier1979 [14.2K]

Answer:1.04%


Step-by-step explanation:

12.5/12 = 1.04166667

when we round this to the nearest hundredth its 1.04%


3 0
3 years ago
Read 2 more answers
The 3 angles of a triangle have a sum of 90 degrees.
coldgirl [10]
Each is 30° because you do 90/3 is 30
8 0
3 years ago
Ben can type 153 words in 3 minutes. At this rate, how many words can he type in 10 minutes.
GalinKa [24]

Answer:

In 10 minutes, he could type 510 words

Step-by-step explanation:

153/3=51 51 words a minute   51 times 10=510

8 0
3 years ago
Read 2 more answers
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