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stepan [7]
2 years ago
13

Given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
6 0

Note :

sin(x) = cos (90-x)

Therefore,

sin(x-3) = cos(90-(x-3))

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29°

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Approximately how many meters are equal to 11.4 feet?Note: 1 m≈3.3 ftRound your answer to the nearest hundredths.
notka56 [123]

Alright, lets get started.

We are asked, approximately how many meters are equal to 11.4 feet.

We have given that,

3.3  feet = 1 meter

So,  1 feet = \frac{1}{3.3} meter

So, 11.4 feet = 11.4 *\frac{1}{3.3} meter

11.4 feet = \frac{11.4}{3.3} meter

11.4 feet = 3.45 meters   :    Answer

Hope it will help :)

3 0
3 years ago
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Anna71 [15]

Answer: the slope will become negative

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6 0
3 years ago
For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu
Sliva [168]

Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × e^{0.0970t}.

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × e^{0.0970t}

⇒ \frac{6000}{29.57} = e^{0.0970t}

⇒ 202.908 = e^{0.0970t}

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ e^{0.0970t}

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = \frac{5.312}{0.0970}

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

3 0
3 years ago
Sam received $125 for his birthday. He spent $85 at the store and put the rest in the
anastassius [24]

Answer:

68%

Hope it helps

5 0
3 years ago
Determine the volume of the shape below?<br> 30<br> 50<br> 40
sleet_krkn [62]

Answer:

30*50*40

= 60000

Step-by-step explanation:

yes

3 0
3 years ago
Read 2 more answers
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