Sin30=cos(2x) then x=

Mathematics

1 answer:

Paraphin [41]3 years ago

8 0

Answer:

x = 30.

Step-by-step explanation:

Use the identity sin A = cos (90 - A).

So sin 30 = cos (90 - 30) = cos 60.

cos 2x = cos 60

so x = 30.

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for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac

zloy xaker [14]

Total tickets sold = 800
Total revenue = $3775

Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.

Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens

Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.

6 0

3 years ago

Two consecutive odd integers have a sum of 32. Find the integers.

bezimeni [28]

Let
x = first consecutive odd
x + 2 = second consecutive odd

Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17

Therefore, the integers are 15 and 17.

6 0

3 years ago

If B(x)=-1,then what is x

jekas [21]

Step-by-step explanation:

6 0

3 years ago

Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?

prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation: