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3 years ago

18 players and 3 coaches. this year, 162 players signed up to play soccer. how many coaches are needed?

Mathematics

1 answer:

ASHA 777 [7]3 years ago

6 0

3 coaches for 18 players
X coaches 162 players

3.162=18.X
x=27

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If cos8x = 13/36 find the value of cos4x.

Elina [12.6K]

The value of cos 4x from the given identity is 0.999

<h3>Trigonometry identity</h3>

Given the cosine identity

cos8x = 13/36

Determine the value of x

8x = arccos(13/36)
8x = 0.36111

x = 0.36111/8
x = 0.04514

Determine the value of cos4x

cos4x = cos4(0.04514)

cos4(0.04514) = 0.999

Hence the value of cos 4x from the given identity is 0.999

Learn more trig identity here; brainly.com/question/7331447

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1 year ago

What is the simplified form of this expression?<br> (7 + x) + (487-4-1)

tamaranim1 [39]

Answer:

Step-by-step explanation:

( 7 + ) + ( 4 8 7 − 4 − 1 ) (x+ 7 ) + (4 8 7− 4 − 1 )

( + 7 ) + 4 8 2 x+ 7 + 4 8 2

Add numbers

+ 48 9

Answer is x+489

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2 years ago

Use the Pythagorean Theorem to solve for the missing side length. Round to the nearest tenth if necessary.

Ede4ka [16]

Answer:

B= 6

Step-by-step explanation:

pythagorean theorem formula is a² + b² = c²

so: 8² + b² = 10²

then: 64 + b² = 100

subtract 64 from both sides to get b²= 36

square root 36 and you get 6 for b

answer: B= 6

8 0

2 years ago

A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?

creativ13 [48]

Answer:

(a) $a_n=1+\frac{1}{6}(n-1)$

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

$a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}$

Here, $a_1=1,a_7=2$

So,

$a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}$

Therefore, the explicit definition of the above sequence is given as:

$a_n=1+\frac{1}{6}(n-1)$

Where, $a_n$ is the miles covered on $n^{th}$ day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

$a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi$

Therefore, the number of miles covered by her on day 19 is 4 miles.

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2 years ago

Jack read 20 pages of a book in 60 minutes. How many pages can he read in 75 minutes at the same rate? Write a proportional equa

AveGali [126]

Answer:

25 pages

Step-by-step explanation:

Create a proportion:

$\frac{pages}{minutes}$ = $\frac{20}{60}$ = $\frac{x}{75}$

Cross multiply and solve for x, the number of pages in 75 minutes:

60x = 1500

x = 25

So, he can read 25 pages in 75 minutes at the same rate

6 0

2 years ago

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