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butalik [34]
3 years ago
11

2cos2ysin2ysimplify​

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Reorder 2 cos (2y) and sin (2y)

= sin (2y)(2 cos(2y))

Remove parenthesis

= sin (2y) * 2 cos (2y)

Reorder sin (2y) and 2

= 2 * sin (2y) cos (2y)

Apply the sine double-angle identity

= sin (2(2y))

Now multiply 2 by 2

<u>= sin (4y) </u>

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Tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a
stepan [7]
4s+7a=861
s+a=168

This can be solved using either elimination or substitution. I am going to use substitution.

Solve s+a=168 for s
s=168-a

Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861

Solve for a
672+3a=861
3a=189
a=63

Substitute 63 for a in s=168-a
s=168-63=105

So, s=105 student tickets and a=63 adult tickets
3 0
3 years ago
The base of a triangular prism is an isosceles right triangle with a hypotenuse of 32−−√ centimeters. The height of the prism is
Roman55 [17]
Isosceles triangle: two equal sides.
 We have the following relationship:
 root (32) = root (L ^ 2 + L ^ 2)
 root (32) = root (2L ^ 2)
 root (32) = Lraiz (2)
 root (32) / root (2) = L
 The surface area is:
 Area of the base and top:
 A1 = (1/2) * (root (32) / root (2)) * (root (32) / root (2))
 A1 = (1/2) * (32/2)
 A1 = (1/2) * (16)
 A1 = 8
 Area of the rectangles of equal sides:
 A2 = (root (32) / root (2)) * (6)
 A2 = 24
 Rectangle area of different side:
 A3 = (root (32)) * (6)
 A3 = 33.9411255
 The area is:
 A = 2 * A1 + 2 * A2 + A3
 A = 2 * (8) + 2 * (24) + (33.9411255)
 A = 97.9411255
 Round to the nearest tenth:
 A = 97.9 cm
 Answer:
 The surface area of the triangular prism is:
 
A = 97.9 cm
3 0
3 years ago
Ash invests £200 and gets 3% interest per year.<br> How much will she have after 5 years?
Taya2010 [7]

Answer:

£231.85

Step-by-step explanation:

→ Work out the decimal multiplier

( 3 + 100 ) ÷ 100 = 1.03

→ Multiply the initial investment by the multiplier raised to the power of years

200 × ( 1.03 )⁵ = £231.85

6 0
2 years ago
What is the equation of the line that has an x-intercept of 2 and a y-intercept of 8?
Lunna [17]

Answer:

x-int: (2, 0)

y-int: (0,8)

(8-0)/(0-2)= 8/-2=  -4

y - 0 = -4(x - 2)

y = -4x + 8

Step-by-step explanation:

4 0
3 years ago
Please help! I need to show my work
Minchanka [31]
You can graph the 4 points.
Notice that sides AB and CD are horizontal, so they are parallel with different lengths.
Sides BC and Ad are not parallel.
A quadrilateral with two parallel sides and two non-parallel sides is a trapezoid.
4 0
3 years ago
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