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Nesterboy [21]
3 years ago
7

Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.

Mathematics
2 answers:
Nastasia [14]3 years ago
7 0

Answer:

It has no solution

Step-by-step explanation:

guapka [62]3 years ago
5 0

Answer:

Step-by-step explanation:

2sin²β-7sinβ-4=0

2sin²β-8sin β+1 sin β-4=0

2 sin β(sin β-4)+1(sin β-4)=0

(sin β-4)(2sin β+1)=0

either sin β-4=0

sin β=4 (rejected,as |sin β|≤1)

or

2 sin β+1=0

sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)

β=7π/6,11π/6

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3 our of 5 in two equivalent forms
sammy [17]
Hello!

3 out of 5 looks like this as a fraction:

3/5

We cannot divide this further as both the numerator and the denominator are odd numbers, so we must multiply to get an equivalent fraction:

3/5 = 6/10 = 60/100

3/5 is also equivalent to 0.2 as a decimal or 20% as a percentage.
7 0
4 years ago
Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player. What percent of those who owned a TV also o
Luda [366]

Answer:

82.5% Americans owned a TV also owned a DVD player .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player.

Here

Part value = 94.2 million

Total value = 114.2 million

Putting all the values in the formula

Percentage = \frac{94.2\times 100}{114.2}

Percentage = \frac{94200\times 10}{1142\times 10}

Percentage = \frac{942000}{11420}

Percentage = 82.5 %

Therefore 82.5% Americans owned a TV also owned a DVD player .

3 0
3 years ago
Which symbol creates a true sentence when x equals 3?
Marta_Voda [28]
Hi <span>Tysona90!
Let's write it with the X as a 3
8*3-4*3_7(10-3) Now let's solve it 8*3 is 24 and 4*3 is 12 so then we do 24-12 which is 12. So now we have 12_7(10-3) so let's solve the other half which is 10-3 is 7 times 7 (since parenthesis can also mean multiplication) which is 49 so we now have 12_49 which means the answer is A.
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4 0
4 years ago
Noah gathered data at his school among 7th and 8th graders to see if there was an association between grade level and handedness
mash [69]

Answer: 4) 157

Step-by-step explanation:

We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.

In 7-th grade we have:

Left handed : 11

Right handed: 72

The ratio is 11/72 = 0.14

Then, the ratio for the 8-th graders must be about the same:

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Right handed: X

Ratio: 24/X

Let's start with the bigger option, X = 157.

24/157 = 0.15

Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)

Then the correct option is 4) 157

4 0
3 years ago
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ikadub [295]
Sandwiches are $5.25 Bowls are $3.50

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4 0
4 years ago
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