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2 years ago

5

In a right-angled triangle, the hypotenuse is 113 and a leg is 112.

1 answer:

melomori [17]2 years ago

7 0

Answer: 15

Step-by-step explanation: Use the formula: $a^{2}+b^{2}=c^{2}$

Remember $c^{2}$ should always be the hypotenuse or the longest side.

$112^{2}+b^{2}=113^{2}$ ---> evaluate the exponents

$12544+b^{2}=12769$ ----> subtract 12544 to the other side

$b^{2}=225$ ---> take the square root of both sides

$b=15$

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Find the exact value of cos 150 degrees and sin 150 degrees

Kruka [31]

Cos and Sin 150
This will be the same as a 30 degree angle only in Quadrant 2.
In Q2, Cosine s negative and Sine is positive.
Cos 150 = (-√3)/2
Sin 150 = 1/2

8 0

2 years ago

Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site

Ymorist [56]

Answer:

$L = 3.975$

Step-by-step explanation:

Given

See comment for data

Required

The lower limit 94% confidence interval

First, calculate the mean

$\bar x =\frac{\sum x}{n}$

$\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}$

$\bar x =\frac{74.1}{12}$

$\bar x =6.175$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

So, we have:

$\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}$

$\sigma = \sqrt{\frac{197.2625}{12}}$

$\sigma = \sqrt{16.4385416667}$

$\sigma = 4.054$

For 94% interval, the z score is

$z = 1.88$

So, the margin of error (E) is:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.88 * \frac{4.054}{\sqrt {12}}$

$E = 1.88 * \frac{4.054}{3.464}$

$E = 2.200$

The confidence interval of the true mean is:

$CI = (\bar x \± E)$

The lower limit (L) is:

$L = \bar x -E$

$L = 6.175 -2.200$

$L = 3.975$

and the upper limit (U) is

$U = \bar x + E$

$U = 6.175 + 2.200$

$U = 8.375$

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2 years ago

Tony shot an 80 on a golf course on Monday on Friday show 96 find the percent of change

GREYUIT [131]

Answer:

20% increase

Step-by-step explanation:

It increased in value

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3 years ago

Lexi sent 1 piece of mail in March, 5 pieces of mail in April, 25 pieces of mail in May, and 125 pieces of mail in June. If this

Artemon [7]

Answer:

Lexi would send 625 in July.

Hope this helps!

7 0

2 years ago

If a person earns $45,719 a year, approximately how much does the person earn per hour if they work 40 hours per week?

Andre45 [30]

Answer:

1142.975

Step-by-step explanation:

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5 0

2 years ago

Read 2 more answers