4 years ago

If cos(3x)=sin(x+18degrees) what is the value of x

1 answer:

3 0

Try this option:

1. rule: cosα=sin(90°-α), it means that cos 3x=sin(90°-3x);
2. sin(90°-3x)=sin(x+18°); ⇔ 90°-3x=18°+x; ⇔ x=18°.

Answer: x=18°.

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Lisa plays soccer 3 out of the 7 days of the week. How many possible schedules are there to play

jonny [76]

Answer:

There are 25 possible schedules.

Step-by-step explanation:

The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Monday but not Tuesday:

Monday(1) and 2 out of the remaining 7 - 2 = 5. So

$C_{5,2} = \frac{5!}{2!3!} = 10$

Tuesday but not Monday:

Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So

$C_{5,2} = \frac{5!}{2!3!} = 10$

Monday and Tuesday:

Monday and Tuesday(1), plus one out of the remaing 5 days. So

$C_{5,1} = \frac{5!}{1!4!} = 5$

Total:

10 + 10 + 5 = 25

There are 25 possible schedules.

5 0

3 years ago

Find the area of a sector which has an angle of 125∘ and a radius of 5 m.

o-na [289]

Answer:

27.27cm²

Step-by-step explanation:

∅=125° r=5m

A=∅/360×πr²

A=125/360×3.142×5²

A=27.27cm²

5 0

4 years ago

26 km<br> 35 km<br> square kilometers

Tanya [424]

Step-by-step explanation:

good luck with the answer

6 0

3 years ago

Which of the following is equivalent to 7 - 2(x + 2) < -4 - 3(1 - x)?

Doss [256]

7-2(x+2)<-4-3(1-x)

7-2x-4<-4-3+3x

7-4+4+3<3x+2x

5x>10

-5x<-10

answer: C.

3 0

3 years ago

a woman saves $300 a month for 12 months for the next 12 months .How much does she save in total???????

Debora [2.8K]

Answer:

$3600

Step-by-step explanation:

she saves $300 a month for 12 months.

300×12=3600

hope this helps!

5 0

3 years ago