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3 years ago

Which trigonometric functions are equivalent to cos ∅. There must be only 2 selections no more no less !

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

cos(theta+2π) and -cos(-theta)

Step-by-step explanation:

theta plus 2π have the same cosine output as theta on a graph.

the negative cosine of negative theta is equal to the positive cosine of positive theta.

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7. John worked 32 hours last week and 28 hours this week. If he gets paid

AlladinOne [14]

Answer:

$630

Step-by-step explanation:

week 1 : $336

week 2 : $294

gross pay : $630

6 0

2 years ago

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

2 years ago

Read 2 more answers

Find the slope of the line that passes through the two points. (-4, -2), (-2, -1)

Nostrana [21]

Answer:

1/2

Step-by-step explanation:

(-2-(-1))/(-4-(-2))=1/2

6 0

2 years ago

Allie is 26 years old. This is half of her

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

8 0

2 years ago

The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and e

Oksanka [162]

Answer:

-1250/1 or -1250

This tells us that the car depreciated in value by $1250 every year.

Step-by-step explanation:

11,095-13,595= -2500

This is the value that the car has depreciated over 2 years (from the first year to the third year)

Since we need to find the slope we divide this value by two.

That value would be -1250

Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year

Hope this helps!

7 0

2 years ago