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3 years ago

Find x and y on a 30 60 90 triangle number 9

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

Answer:

x=12, y= $12 \sqrt{3}$

Step-by-step explanation:

Please see attached picture for full solution.

sinθ= opp/hyp

cosθ= adj/hyp

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Consider two people being randomly selected. (For simplicity, ignore leap years.)

inna [77]

Answer:

$(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}$

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

$=\frac{12}{365} X\frac{12}{365} = \frac{144}{133225}$

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on same day of same month) = 1

P(2 people selected not having birthday on same day of same month):

$= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}$

P(2 people selected have birthday on the same day of same month) $= 1-\frac{364}{365} \\\\= \frac{1}{365}$

7 0

3 years ago

a polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor i

GuDViN [60]

The area of the original polygon is:
A = 225 m ^ 2
The similar polygon area is:
A '= (k ^ 2) * (A)
Substituting values:
3 * 225 = (k ^ 2) * (225)
Clearing k we have:
k ^ 2 = 3
k = (3) ^ (1/3)
Answer:
The length of each side increased by:
k = (3) ^ (1/3)

6 0

3 years ago

Which of the following is NOT a true statement about the sides of a right triangle? A. The hypotenuse is the longest side. B. Th

Aleonysh [2.5K]

The correct answer is C. Side “a” is always longer than side “b”.

6 0

3 years ago

Sushmila is buying Mehdi supplies

denis-greek [22]

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

8 0

3 years ago

SHOW YOUR WORK FOR CREDIT!

julia-pushkina [17]

9x1=9
9-9(3n)
9-27n
Can’t be solved

5 0

3 years ago