5 times what equals 200

Answers

Answer 1

Answer: The equation can be 5(x)=200
Or to solve u might want to use the formula 200/x=5
200 divided by 5 is 40
So 5 times 40 is 200

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Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2

Answers

Answer:

The correct prove will be:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$ $= (1)/(8)$

Step-by-step explanation:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$

Multiply and Divide by $2cos((\pi )/(14))$

= $(2sin((\pi )/(14))cos((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14)))/(2cos((\pi )/(14)))$

⇒ Let $(\pi )/(14)$ = Ф and 7Ф = $(\pi )/(2)$

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ ∵cos7Ф = 0

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ ∵sin7Ф = 1

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$ $= (1)/(8)$

Keywords: prove, sinФ, cosФ

Learn more about trigonometric functions from brainly.com/question/7331447

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15 3/5 % written as a fraction in simplest form.

Answers

Okay so first what you would do is figure out what 3/5 is as a decimal so you would divide 3 by 5 which is 0.6 so the percentage is 15.6%

Next turn it into a fraction which would be 15.6/1

Then multiply the numerator and denominator by 10

15.6= 15.6/1= 156/10

then to put it in simplest form divide 10 by 156 and that would be 15 and 6/10

hope this helped (;

7. Nick’s youth group has 20 regular students that attend weekly get togethers. They saved up enough money for each person to go swimming 10 times each with the daily pay plan. After they saved that amount, they found out they can use the early pay plan and save money. They plan to donate their savings to the church since it’s in need of a new sound system. How much money will they be able to donate with the savings from all 20 youth? (Please show all your work for full credit) WILL GIVE BRILIEST

Answers

Answer:

If each youth saves $10 daily, their weekly savings would be $1400. So they donated $1400 to the church.

Step-by-step explanation:

Let the daily pay plan for each youth be $y

Daily pay plan for 20 youth = $20y

Weekly pay plan = 7×20y = $140y

Assuming each youth saves $10 daily

Daily savings for 20 youth = 20×$10= $200

Weekly savings for 20 youth = 7×$200= $1400

If they used the early pay plan ($140y) to go swimming, they saved $1400 which they donated to the church.

Answer:

$375 saved or roughly 33%.

Step-by-step explanation:

With daily plan;

(15)4.00 = 60.00

(25)60.00 = $1,500.00

If the youth group saved up enough for each of them to swim 15 times and 25 students are attending, they originally had $1,500.00 saved for the trip.

With early pay;

(25)45.00 = $1,125.00

1,500.00 - 1,125.00 = $375 saved or roughly 33%.

Hope this helps! And please, do not copy-paste this answer. Write it in your own words, thanks <33

A class is made up of 8 boys and 6 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?