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3 years ago

Which of the expressions (on the photo document I inserted) together represent all solutions to the following equation?

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

x =15 + 30n

Step-by-step explanation:

8cos(12x)+4=-4

Subtract 4 from each side

8cos(12x)+4-4=-4-4

8cos(12x)=-8

Divide by 8

8/8cos(12x)=-8/8

cos(12x) = -1

Take the arccos on each side

arccos(cos(12x)) = arccos(-1)

12x = 180 degrees

But we can go around in a circle of 360 and get the same result

12 x = 180+360n where n is an integer

Divide each side by 12

x = 180/12 +360n/12

x =15 + 30n

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Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance johnathan

Mekhanik [1.2K]

An inequality that shows the distance Johnathan could of ran any day this week is:

$x\leq 3.5$

Solution:

Let "x" be the distance Johnathan can run any day of this week

Given that,

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles

Therefore,

Number of days ran = 5

The most he ran in 1 day = 3.5 miles

Thus, the maximum distance he ran in a week is given as:

$distance = 5 \times 3.5 = 17.5$

The maximum distance he ran in a week is 17.5 miles

If we let x be the distance he can run any day of this week then, we get a inequality as:

$x\leq 3.5$

If we let y be the total distance he can travel in a week then, we may express it as,

$y\leq 17.5$

8 0

3 years ago

If 55% is 70.4 so what is hundred percent

hodyreva [135]

Answer:

55%=70.4

1%=70.4/55= 1.28

100%=1.28into 100 = 128

8 0

3 years ago

What is the best estimate for the product of 279 and 7

shutvik [7]

Answer:

279 × 7 ≈ 2800

Step-by-step explanation:

if you have to round to the tens place, then both would be rounded up, the 7 to 10 and the 279 to 280. 10 × 280 = 2800

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3 years ago

There are 212.5 grams of sugar in a 2-liter bottle of soda. How much sugar is there in 4.5 bottles? please HELP ME

drek231 [11]

956.25 is the answer

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Law Incorporation [45]

Answer:

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