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soldier1979 [14.2K]
1 year ago
13

Find x options; a) 21√2/2 b) 21√2 c) 21√3/2 d) 7

Mathematics
1 answer:
pishuonlain [190]1 year ago
6 0

The value of x is  21√2/2

The correct option is (A)

<h3>What is Trigonometry?</h3>

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

In triangle having angle 60.

sin 60 = P/ 7√3

√3/2= P/7√3

2P= 21

P= 21/2

Now again

cos 45= 21/2/x

1/√2 = 10.5/x

x=  21√2/2

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

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P and Q are two points on the line x - y + 1 = 0 and are at distance 5 from the origin. Find the area of the triangle OPQ. ​
Alecsey [184]

Answer:

P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.

Step-by-step explanation:

P and Q are the intersection points of

x-y+1 = 0 and the circle x^2 + y^2 = 25

sub y = x+1 into the circle

x^2 + (x+1)^2 = 25

x^2 + x^2 + 2x + 1 - 25 = 0

x^2 + x - 12 = 0

(x+4)(x-3) = 0

x = 3 or x = -4

y = 4 or y = -3

so P(3,4) and Q(-4,3) are our two points

Height of triangle.

h = |0 - 0 + 1|/√2 = 1/√2

PQ = √( (-7)^2 + 1^2) = √50 = 5√2

area POQ = (1/2)(1/√2)(5√2) = 5/2 square units

hope this helped

7 0
2 years ago
A swimming pool had 2.5 liters of water in it. Some water evaporated, and then the pool only had 2 million liters of water in it
djyliett [7]
Hi!

If I have done this correctly, then the answer is:

2 million is 80% of 2.5

That means that 20% of the water evaported.
5 0
3 years ago
Find P(6) when µ = 7
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Answer:

Assume the random variable X has Poisson distribution.

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As mean of Poisson distribution is equal to...

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2 years ago
A device used in golf to estimate the distance d, in yards, to a hole measures the size s, in inches, that the 7-ft pin appears
Nesterboy [21]
This is a proportional problem.
The distance 'd' corresponds to the 9 inches.
The 7-ft pin corresponds to the size 's'.

Convert 7ft to 7/3 yds. This way you have equal ratio of yds to inches.

\frac{d}{9} = \frac{7/3}{s}  \\  \\ d = \frac{21}{s}
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3 years ago
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The correct answer should be D.

Step-by-step explanation:

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