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Marina86 [1]
2 years ago
7

Find x on the following figure​

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
8 0

If the perpendicular from chord is x, the length of cord is 11.3 and diameter be 15.5 then the value of x is 4.54.

Given Perpendicular from center to chord is x. The length of cord be 11.3 and the diameter be 15.5.

Perpendicular means a line on other line making an angle of 90 degrees. Cord is the length of line joining two points on a circle and is different from radius or diameter. We know that the formula of calculating the length of chord is as under:

l=2\sqrt{r^{2} -d^{2} }

now put the value of l=11.3 and r=15.5/2=7.25

11.3=2\sqrt{7.25^{2} -x^{2} }

11.3/2=\sqrt{52.5625-x^{2} }

5.65=\sqrt{52.5625-x^{2} }

squaring both sides

5.65^{2} =52.5625-x^{2}

31.9225=52.5625-x^{2}

31.9225-52.5625=-x^{2}

-20.64=-x^{2}

20.64=x^{2}

x=4.54

Hence if the length of cord is 11.3 and diameter is 15.5 then the value of x is 4.54.

Learn more about circle at brainly.com/question/24375372

#SPJ10

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Help please :) ..................​
brilliants [131]

Answer:

1587.6 m²

Step-by-step explanation:

A=\frac{1}{2} bh where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6

I hope this helps!

3 0
3 years ago
4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are
Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • 1000 people means that N = 1000
  • 130 can wiggle their ears, thus k = 130
  • Two are selected, thus n = 2.

The probability that neither can wiggle his or her ears is P(X = 0), thus:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0
3 years ago
How long is the wire that supports the tree?<br> 5.6 ft<br> 3.3 ft -
Nikolay [14]
The answer is 2.3 feet
6 0
4 years ago
Max and his family visited the beach
Alex17521 [72]
They stayed at the beach for 7 days. 4 x 3 = 12. 12 - 5 = 7
7 0
4 years ago
Read 2 more answers
The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
kicyunya [14]

we know that

when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them

so

15%=15/100------> 0.15

$63*0.15=$9.45

the answer is

$9.45

7 0
3 years ago
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