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4 years ago

What is the maximum possible value of a sine ratio? In two or more complete sentences, explain your answer.

Mathematics

2 answers:

Natalka [10]4 years ago

8 0

Answer:

Step-by-step explanation:

The maximum possible value of a sine ratio is 1. This is because the formula to figuring out the sine is opposite leg/hypotenuse. Since the hypotenuse of a triangle is ALWAYS the longest side of the triangle, and it's the denominator of the formula, then the value of a sine ratio will never exceed 1.

Examples: (Bold = hypotenuse)

3/5 = 0.6

6/8 = 0.75

If there would be a leg longer than the hypotenuse (which is not possible), then the answers would be greater than 1:

5/3 = 1.666666667

8/6 = 1.333333333

Hope this helps!

VMariaS [17]4 years ago

6 0

The sine ratio is basically a fraction of the opposite side over the hypotenuse. Since the hypotenuse is always the longest side, this means the fraction cannot exceed 1. If it did,then that would lead to the opposite side being larger than the hypotenuse but again the hypotenuse is the longest side. The largest the sine ratio can get is 1.

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HELP DO NOT KNOW HOW TO DO THIS!!!!!!!

Thepotemich [5.8K]

Answer:

x = 8

Step-by-step explanation:

( 6x + 1 ) + 90 + ( 5x + 1 ) = 180

6x + 1 + 90 + 5x + 1 = 180

11x = 88

x = 8

3 0

3 years ago

How does the graph of g(x) = (x + 4)^3 − 6 compare to the parent function f(x) = x^3?

ANTONII [103]

Answer:

D) g(x) is shifted 4 units to the left and 6 units down

Step-by-step explanation:

When -6 is added to the y-value, it moves the point on the graph down 6 units. Compared to f(x), g(x) is 6 units down.

Transforming the function using f(x -h) shifts its graph h units to the right. Here, we have h=-4, so the graph is shifted 4 units to the left.

5 0

3 years ago

Order the fractions from least to greatest

My name is Ann [436]

Answer:

1/4, 2/5, 1/2, 3/5, 2/3, 13/18, 7/9, 5/6, 2 6/15, 2 4/9, 2 3/5, 2 2/3, 6 3/8, 6 1/2,

6 3/4, 6 5/6

Step-by-step explanation:

I like to organize decimals more than fractions because it's easier for me, so I'm changing each of them to a decimal. You don't have to do this though.

To change a fraction to a decimal, if it is simplified, make it an improper fraction
Then, divide the numerator from the denominator. For example, 1/4 = 0.25 because 1 divided by 4 = 0.25

3/5 = 0.60,
1/4 = 0.25,
1/2 = 0.50,
2/5 = 0.40,
7/9 = 0.7 repeating or just 0.78 rounded,
13/18 = 0.72 repeating or 0.73 rounded,
5/6 = 0.83 repeating or 0.84 rounded,
2/3 = 0.66 repeating or 0.67 simplified,
6 3/4 = 27/4 or 6.75,
6 1/2 = 13/2 = 6.50,
6 5/6 = 41/6 = 6.83 repeating or 6.84
6 3/8 = 51/8 = 6.375 or 6.38
2 2/3 = 8/3 = 2.66 repeating or 2.67
2 6/15 = 36/15 = 2.40
2 3/5 = 13/5 = 2.60
2 4/9 = 22/9 = 2.44 repeating or 2.45

Ordering them is pretty easy, just start from the smallest and move to the greatest!

0.25 = 1/4
0.40 = 2/5
0.50 = 1/2
0.60 = 3/5
0.67 = 2/3
0.73 = 13/18
0.78 = 7/9
0.84 = 5/6
2.40 = 2 6/15
2.45 = 2 4/9
2.60 = 2 3/5
2.67 = 2 2/3
6.38 = 6 3/8
6.50 = 6 1/2
6.75 = 6 3/4
6.84 = 6 5/6

6 0

4 years ago

Person A sold his bicycle to Person B at a profit of 50 %.

Lera25 [3.4K]

Answer:

$147.46

Step-by-step explanation:

CP= x

SP= x+ 50%= 1.5x

1.5x- 4%= 230.40

1.5x*0.96= 230.4

x= 230.4/1.5*0.96

x= 147.456 ≈ $147.46

4 0

3 years ago

(b) In a group of 140 people, 74 like tea, 104 like milk and each person likes at least one of the two drinks.

Stels [109]

Answer:

How many people like both drinks?

To find the overlap, we can do (104 + 74) - 140 = 38.

How many people like tea only?

To find this, we can do 74 - 38 = 36.

How many people like milk only?

To find this, we can do 104 - 38 = 66.

5 0

3 years ago

Read 2 more answers