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Bad White [126]
3 years ago
6

An ocean wave is represented by cosine curve, where the time it takes to go from its crest highest point to its lowest point is

four seconds what is the period
Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

8 s

Step-by-step explanation:

The time, t it takes the wave to move from its crest highest point to its lowest point is half of its period, T.

That is t = T/2

Given that t = 4 s, and making T subject of the formula, we have

T = 2t

Substituting t = 4 s into T, we have

T = 2t

T = 2 × 4 s

T = 8 s

So, its period is 8 s

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O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.
Yuki888 [10]

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

4 0
3 years ago
In ΔOPQ, the measure of ∠Q=90°, OQ = 20, PO = 29, and QP = 21. What is the value of the sine of ∠P to the nearest hundredth?
Rufina [12.5K]

Answer:

  0.69

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...

  Sin = Opposite/Hypotenuse

For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...

  sin(P) = OQ/PO = 20/29

  sin(P) ≈ 0.69

3 0
3 years ago
Read 2 more answers
G=C+ x - y, for x<br> Help me solve this please
dedylja [7]

Answer:

x = g + y - C

Step-by-step explanation:

<u>Step 1:  Add y to both sides</u>

g + y = C+ x - y + y

<em>g + y = C + x</em>

<em />

<u>Step 2:  Subtract C from both sides</u>

g + y - C = C + x - C

<em>g + y - C = x</em>

<em />

Answer:  x = g + y - C

7 0
3 years ago
Half of your baseball card collection got wet and was ruined. You bought 11 cards to replace some that were lost. How many did y
AveGali [126]
Hmmmmm....Im guessing in this question you add..When you add it's 35.So I started with 35. Hope this helps! (;
7 0
3 years ago
Read 2 more answers
9.5) ifm Z WZY - 100º and mZ WXY = 50°, calculate m ZWX. Justify your work with properties or definitions. Note: figure may not
masha68 [24]

Answer:

m∠ZWX = 105°

Step-by-step explanation:

Properties of a kite,

1). One diagonal of a kite bisects at least one pair of opposite angles.

2). Diagonals of a kite kite are perpendicular to each other.

In ΔWTZ,

m∠WZT = \frac{1}{2}(m\angle WZY)

              = \frac{1}{2}(100)

              = 50°

m∠WTZ = 90° [By second property]

m∠WZT + m∠WTZ + m∠ZWT = 180°

50° + 90° + m∠ZWT = 180°

m∠ZWT = 180° - 140°

              = 40°

Similarly, in ΔWTX,

m(\angle WXT)=\frac{1}{2}(m\angle WXY)

m(∠WXT) = \frac{1}{2}(50)

                = 25°

m(∠WTX) = 90°

m∠WTX + m∠WXT + m∠TWX = 180°

90° + 25° + m∠TWX = 180°

m∠TWX = 180° - 115°

              = 65°

Since, m∠ZWX = m∠ZWT + m∠TWX

Therefore, m∠ZWX = 40° + 65°

                                 = 105°

7 0
2 years ago
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