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2 years ago

What is the measure of YB?

Mathematics

1 answer:

pishuonlain [190]2 years ago

5 0

The formula is
YC x YD = AY x YB

fill in what we know:

18 x 6 = 9 x YB

108 = 9 x YB

YB = 108 / 9

YB = 12

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A scuba diver used the expression below to describe his position in relation to sea level.2 + (negative 20) + 8Which statement c

Sloan [31]

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

Using the 2 + (-20) + 8 to describe movement relative to sea level ;

2 can be taken as the starting point, positive values represents elevation above sea level ;

2 can be taken as 2 feet platform above sea level ;

- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)

(-20 + 2) = - 18

8 feets means a final elevation of 8 above sea level (positive value).

7 0

2 years ago

Simplify the expression insert √96/8

Sever21 [200]

The answer is 2√3
I hope this answers your question :)

6 0

2 years ago

Read 2 more answers

Consider the first five steps of the derivation of The Quadratic function

Burka [1]

Answer:

Step-by-step explanation:

pick like terms

x² + b²/4a² = -c / a + b²/4a²

b²/4a² = (b/2a)²

x² + (b/2a)² = -c/a + (b/2a)²

(x + b/2a)² = -c/a + (b/2a)² = -c / a + b²/4a² = (-4ac+ b²)/4a²

(x + b/2a)² = (-4ac+ b²)/4a²

square root both sides

√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}

x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a

x + b/2a = √( b²-4ac) / 2a

subtract b/2a from both sides

x + b/2a -b/2a = {√( b²-4ac) / 2a } -b/2a

x = -b/2a + {√( b²-4ac) / 2a }

the l.c.m is the same

x = {-b±√( b²-4ac)}/2a

7 0

2 years ago

The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in

Marina86 [1]

Answer:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

Step-by-step explanation:

Assuming this complete problem: "The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit . 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2"

We have the following formula in order to find the sum of cubes:

$\lim_{n\to\infty} \sum_{n=1}^{\infty} i^3$

We can express this formula like this:

$\lim_{n\to\infty} \sum_{n=1}^{\infty}i^3 =\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2$

And using this property we need to proof that: 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2

$\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2$

If we operate and we take out the 1/4 as a factor we got this:

$\lim_{n\to\infty} \frac{n^2(n+1)^2}{n^4}$

We can cancel $n^2$ and we got

$\lim_{n\to\infty} \frac{(n+1)^2}{n^2}$

We can reorder the terms like this:

$\lim_{n\to\infty} (\frac{n+1}{n})^2$

We can do some algebra and we got:

$\lim_{n\to\infty} (1+\frac{1}{n})^2$

We can solve the square and we got:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

3 0

2 years ago

Kimani works for the city and is reimbursed for his mileage when traveling for work. In order to submit his reimbursement form,

IceJOKER [234]

The mileage from the Supermarket to the Library may be calculated using Pythagorean Theorem.

The coordinates of the Library are (7,10) and the coordinates of the Supermarket are (3,7).

So, the distance requested is √ [ (7-3)^2 + (10 - 7)^2 = √[ 4^2 + 3^2 = √ [16 + 9] =

= √25 = 5

So, he runs 5 miles.

And the reimbursement will be $0.50 / mile * 5 mile = $ 2.50.

Answer: option B) $ 2.50

5 0

2 years ago