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2 years ago

Using the image above, what is the measure of Side AC? Round to the nearest hundredth

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

3 0

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

<h3>Trigonometric Ratio</h3>

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

Angle = 32.9 degrees
Hypothenuse = 3.4

Let's use cosine rule for this.

$cos\theta = \frac{adjacent}{hypothenuse}$

Proceed to substitute the values into the equation and solve.

$cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85$

From the calculations above, the value of side AC is 2.85 units

Learn more on trigonometric ratio here;

brainly.com/question/11967894

#SPJ1

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Angle P is an acute angle.

TEA [102]

A acute angle is always less than 90 degrees. So the answer is A.

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3 years ago

If two functions are one-to -one that means that the are also _____ of each other

horrorfan [7]

There are a few definitions depending on your context ( which is not that great btw) but some possible definitions are - Congruent, Equivalent, Proportionate

6 0

3 years ago

I got the first two can you help me with the last one PLZ

Nat2105 [25]

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

$a_1 =6\\a_2 = 18\\a_3 = 54$

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

$r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3$

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

$a_n = a_{n-1} * r$

In case of given sequence,

$a_n = a_{n-1} * 3$

So to find the 5th term

$a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486$

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

$a_n = a_1 * r^{n-1}$

Putting the values of a_1 and r

$a_n = 6 * (3)^{n-1}$

Hence,

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#LearnwithBrainly

4 0

3 years ago

Between which two consecutive whole numbers does \sqrt{3} 3 lie? Fill out the sentence below to justify your answer and use yo

lyudmila [28]

Answer:

It lies between 5 and 6

Step-by-step explanation:

Two consecutive numbers are numbers that come after each other:

x , x + 1 are consecutive numbers.

3 \sqrt{3} = 3√3 = 5.19615242271

Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

3 0

3 years ago

Need help plsssss :;):5:$//&-&!.&/).:$83

Katyanochek1 [597]

The answer is b.

Because you multiply (5•12)

3 0

3 years ago