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kondaur [170]
4 years ago
7

X^2=7^2+8^2-2(7)(8)(cos32)

Mathematics
1 answer:
Natasha_Volkova [10]4 years ago
3 0

Answer:

x ≈4.244833711

Step-by-step explanation:

x^2=7^2+8^2-2(7)(8)(cos32)

Determine the powers

x^2=49+64-2(7)(8)(cos32)

Multiply from left to right

x^2 = 49+64 - 112cos32

x^2 = 49+64 - 94.98138677

Add and subtract

x^2 =113-94.98138677

x^2 = 18.01861323

Take the square root of each side

sqrt(x^2) = sqrt(18.01861323)

x = sqrt(18.01861323)

x ≈4.244833711

x^2 =113

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Anne takes out an $8,000 loan to buy a car. She chooses the 8-year loan at 9.8% interest, and will pay $120.55 per month. What i
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You multiply all of them together and then dived by 100 and that's your answer
5 0
3 years ago
The ratio of mammals to birds at the zoo is 96 to 84. Choose ALL ratios that are equivalent:
MariettaO [177]

The equivalent ratios of mammals to birds at the zoo are;

1) 32 to 28

3) 24 to 21

We are given the ratio of mammals to birds at the zoo as; 96 : 84

<h3>Equivalent Ratios</h3>

To get the possible equivalent ratios, we need to first of all list out all the factors of 96 and 84.

  • Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  • Factors of 84: 1, 2, 3, 4, 6, 14, 21, 28, 42, 84.

Now, from the factors listed above, if we divide both 96 and 84 by 3, we will arrive at a ratio of;

32:28

Likewise,if we divide both by 4 we will get;

24:21

In conclusion, the only equivalent ratios are 32:28 and 24:21.

Read more about ratios at; brainly.com/question/2784798

6 0
3 years ago
Suppose a 95% confidence interval for μ turns out to be (1,000, 2,100). To make more useful inferences from the data, it is desi
Nat2105 [25]

Answer:

a) Increase the sample size

Step-by-step explanation:

Given that a 95%  confidence interval for μ turns out to be (1,000, 2,100)

The confidence interval is formed as

\mu+/- Margin of error

Margin of error = critical value * std dev/sqrt of sample size

Hence for the same confidence level, we cannot change critical value.

The only available ways are either to decrease std deviation or increase the sample size to make it narrower.

If confidence level becomes higher, then confidence interval would be wider.

Here  out of four options the correct option is

a) Increase the sample size

3 0
3 years ago
PLEASEE HELP I WILL GIVE A BRAINLY
Genrish500 [490]

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

6 0
3 years ago
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mezya [45]

Answer:

(1.5,-1)

Step-by-step explanation:

7 0
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Read 2 more answers
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