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2 years ago

Find the length of AC Give your answer to 1 decimal place

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer:

AC ≈ 17.3 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan68° = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{AC}{7}$ ( multiply both sides by 7 )

7 × tan68° = AC , then

AC ≈ 17.3 cm ( to 1 dec. place )

Fantom [35]2 years ago

3 0

We will use tangent here as we are finding the opposite with the adjacent given.

So we can simply just put this into a calculator:

tan(68°) × 7 cm = AC

tan(68°) × 7 cm = 17.3 cm

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Is 3/10 greater than or less than 1/2

V125BC [204]

To compare two fraction we have to make common denominator, then we can compare numerators.
Lets do this
$\frac{1}{2}= \frac{1*5}{2*5}= \frac{5}{10}$
Now we can compare numeratos.
3<5, so 1/2 is greater than 3/10.

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3 years ago

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Which of the following is not a valid probability? A. 1.3 B. 0 C. 0.4 D. 1

kozerog [31]

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

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2 years ago

Decide which of the described variables likely have a normal or near-normal distribution. A) The amount of change held by a teac

Nataly [62]

Answer:

A) The amount of change held by a teacher at the end of each day for a year.

Step-by-step explanation:

A normal distribution has a bell-shaped density curve described by its mean and standard deviation.

A) The amount of change held by a teacher at the end of each day for a year - This is probably near normal because the teacher cannot have negative cents in her or his pocket.

6 0

3 years ago

How to convert 0.42decimal to a fraction?

Virty [35]

1) First read it out loud with out the dot/"and"

"Forty-two HUNDREDTHS"

2) Hundredths indicates it is in the 100th place value. Meaning this fraction is out of a 100.

42/100

3) Simplify!

42 21
---- = -------
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4) Final Answer: 21/50

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3 years ago

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Yakvenalex [24]

Answer:

a) The officers can be appointed in 24024 different ways.

b) The committee can be appointed in 1001 different ways.

c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

Step-by-step explanation:

The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.

Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

Combinations formula:

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

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

A. How many different ways can the officers be appointed?

4 from a set of 14, with roles. So a permutation.

$P_{(14,4)} = \frac{14!}{(14-4)!} = 24024$

The officers can be appointed in 24024 different ways.

B. How many different ways can the committee be appointed?

4 from a set of 14, without roles. So combination

$C_{14,4} = \frac{14!}{4!(14-4)!} = 1001$

The committee can be appointed in 1001 different ways.

C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes.

The three youngest(1 combination), and one of the other 14-3 = 11. So $D = 1*11 = 11$

Total outcomes:

From B., 1001, so $T = 1001$

Probability:

$p = \frac{D}{T} = \frac{11}{1001} = 0.011$

1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

8 0

3 years ago