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Nady [450]
2 years ago
10

Circle J is inscribed in isosceles trapezoid ABCD, as shown. Points E, F, G, and H are points of tangency. The length of AB is 1

0 cm. The length of DC is 20 cm. What is the length, in cm, of BC?

Mathematics
1 answer:
zhuklara [117]2 years ago
8 0

Answer:

15cm

Step-by-step explanation:

Theorem: All tangents to a circle from the same point are equal.

Sine E, F, G and H are points of Tangency, by the theorem above:

  • EB=BF
  • FC=GC

The diameter line EC divides the Isosceles Trapezoid into two equal parts.

Therefore:

  • EB=10/2=5cm
  • GC=20/2=10cm

We then have by the equality above that:

  • BF=5cm
  • FC=10cm

BC=BF+FC

=5+10

=15cm

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A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th
Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0
3 years ago
The total number of people who visitedthe ocean adventure park last year was 7,040,836 . What is the valur of the digit 4 in thi
Vesna [10]
The total number of people who visitedthe ocean adventure park last year was 7,040,836

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To find value of 4, just put FOUR zeroes after 4

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5 0
3 years ago
Pls answer correctly c:
sergey [27]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
Which ratio is equivalent 12/16
Semmy [17]

Answer:

3/4

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
How did you do 2 step equations but in a word problem? Thankyou
dem82 [27]

Answer:

A example:  A customer brought 5 quarts of lemonade from Leah's stand. She also tipped Leah an additional $2. The customer finally paid a total of $27 including the tip. How much is each quart of lemonade worth? If x is what the lemonade is worth, write an equation to figure out the total.

In this problem, the x is what the lemonade is worth. So you should start with a 5x. The customer also tipped $2. So you should add 2 to the 5x. We also know the total, 27.

With the information we can form an equation.

5x + 2 = 27.

To solve, we can subtract 2 from both sides and finally dived by 5 on both sides as well. Your final answer should be x = 5.

Hopefully this is what you're looking for, sorry for being late!

8 0
2 years ago
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