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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

You might be interested in

each baseball team has 9 players and each football team has 11 players. 6 schools have both baseball and football teams. Four sc

adelina 88 [10]

Answer:

156 players

Step-by-step explanation:

The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.

Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.

After you multiply the 4 schools by the 9 players for baseball. You’ll get 36. Add the 120 players to 36 players and you’ll get 156 players for the 10 schools in total

6 0

3 years ago

(NO FILES OR LINKS OR RANDOM WORDS)

ehidna [41]

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

3 0

2 years ago

A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips, etc.). While

Murljashka [212]

Answer:

The expected number of appearance defects in a new car = 0.64

standard deviation = 0.93(approximately)

Step-by-step explanation:

Given -

7% had exactly three, 11% exactly two, and 21% only one defect in cars.

Let X be no of defects in a car

P(X=3) = .07 , P(X=2) = .11 , P(X=3) = .21

P(X=0 ) = 1 - .07 - .11 - .21 = 0.61

The expected number of appearance defects in a new car =

E(X) = $\nu$ = $= \sum X P(X) =3\times 0.07 + 2\times0.11 + 3\times0.21 + 0\times0.61$ = 0.64

$\sigma^{2}$ = variation of E(X) = $\sum (X - \nu) ^{2}P(X)$ = $(3 - 0.64) ^{2}\times0.07 + (2 - 0.64) ^{2}\times0.11 + (1 - 0.64) ^{2}\times0.21 + (0 - 0.64) ^{2}\times0.61$

= $(2.36) ^{2}\times0.07 + (1.36) ^{2}\times0.11 + (.36) ^{2}\times0.21 + ( 0.64) ^{2}\times0.61$ = 0.8704

standard deviation = $\sqrt{\sigma^{2}}$ = $\sqrt{0.8704^{2}}$ = 0.93(approximately)

4 0

3 years ago

3. Grad point question for a quiz<br><br>Graph the inequality.<br><br>A. x -3<br>D. x≤-3

LUCKY_DIMON [66]

Answer:

The answer most likely would be x > -3

Step-by-step explanation:

It would be this because it's a opened dot and not a closed one. A closed dot would have the greater or less than sign with the line underneath it

REMEMBER if it is shaded to the right then the inequality points to the right (>). If it is shaded to the left the inequality points to the left (<)

HOPE THIS HELPS

3 0

3 years ago

The function

kumpel [21]

<h3>Answer:</h3>

The rate of change in the 2nd 3-year interval is 3.375 times that in the 1st 3-year interval.

<h3>Explanation:</h3>

The exponential function tells you that each year values get multiplied by 1.5. Then after thee years, values are multiplied by 1.5³ = 3.375. This is true for all function values, including average rate of change. Whatever the rate of change is in years 0–3, it will be 3.375 times that in years 3–6.

The calculation performed by the graphing calculator confirms this:

... the average rate of change in years 3–6 is 160.3125; in years 0–3, it is 47.5.

The ratio of these average rate of cange values is 3.375.

3 0

2 years ago