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3 years ago

Abc is a triangle, ac=19cm bc=17cm and angle bac=60 degrees. calculate the size of angle abc? answer

1 answer:

3 0

$\frac{|AC|}{sin\angle ABC}=\frac{|BC|}{sin\angle BAC}\\\\|AC|=19cm;\ |BC|=17cm;\ |\angle BAC|=60^o;\ |\angle ABC|=x\\\\\frac{19}{sinx}=\frac{17}{sin60^o}\\\\cross\ multiply\\\\17sinx=19sin60^O\\\\17sinx=19\cdot\frac{\sqrt3}{3}\ \ \ \ /:17\\\\sinx=\frac{19\sqrt3}{51}\\\\sinx\approx0.6453\Rightarrow x\approx40^o11'\\\\Answer:|\angle ABC|\approx40^o11'$

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If 3 servings is 5 cups, how many servings is 15 cups

blsea [12.9K]

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3 years ago

How many 7 digit phone numbers are there assuming the first digit can't be a 0 or a 1?

Anettt [7]

The first digit can be any one of the numbers 2-9 That a total of 8 numbers.

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(10 numbers)

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So final answer is 8 * 5040 = 40,320

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3 years ago

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yan [13]

Using the binomial distribution, there is a 0.3474 = 34.74% probability of getting one wrong number.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

p = 0.15, n = 10.

The probability of getting one wrong number is P(X = 1), hence:

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P(X = 1) = C(10,1) x (0.15)¹ x (0.85)^9 = 0.3474

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More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

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dem82 [27]

A square has all of the same sides, so just do 12x12 which is 144

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3 years ago

Read 2 more answers

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You just do y=mx+b
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4 years ago