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Nitella [24]
2 years ago
8

HELP!!!! Order the lengths of the sides of ABC from greatest to least

Mathematics
1 answer:
azamat2 years ago
6 0

The comparison of the lengths of the sides based on the angles are given

by sine rule.

The lengths of the sides from greatest to least are;

  • <u>BC > AC > AB</u>

Reasons:

The given parameters are;

∠A = 78°, ∠B = 56°, ∠C = 46°

By sine rule, we have;

\displaystyle \frac{AC}{sin(56^{\circ})} = \frac{AB}{sin(46^{\circ})} = \frac{BC}{sin(78^{\circ})}

Given that, sin(46°) ≈ 0.719, sin(56°) ≈ 0.829, sin(78°) ≈ 0.978, we have;

sin(78°) > sin(56°) > sin(46°)

Therefore, applying equal proportions of similar ratios, we have;

<u>BC > AC > AB</u>

Learn more about sine rule here:

brainly.com/question/7591047

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Answer:

he needs to know the width!!!

Step-by-step explanation:

since length multiplied by the width equals area,

so since the length is given, the width is needed

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Stella [2.4K]

Answer:

25x^2 + 30x + 9

8 0
2 years ago
Five men working six hours a day take eight days to fill a trench. How long does it take 3 men working eight hours a day to fill
Oduvanchick [21]

Answer:

The correct answer is 10 days.

Step-by-step explanation:

To fill a trench, 5 men work for 6 hours a day for eight days.

Total work hours required is given by 5 × 6 × 8 = 240 hours.

The same work is supposed to be done by 3 men working 8 hours a day.

Let these three men need to work for x days.

Therefore total work hour these group of three men gave = 3 × 8 × x = 24x hours

Therefore the work hour of both the group of 5 men and 3 men should be equal.

⇒ 24x = 240

⇒ x = 10

Therefore the group of 3 men have to work for 10 days to fill the trench.

6 0
3 years ago
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure o
lesya692 [45]

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that p = 0.05

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that n = 15

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

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

P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006

0.0006 = 0.06% probability of this occurrence

8 0
3 years ago
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