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TEA [102]
3 years ago
5

Can the ratio of. Parents age to his or hers child's age ever be exactly 10:9

Mathematics
1 answer:
Tema [17]3 years ago
6 0
The ratio can not go exactly in 10:9
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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

sin(\frac{x}{2} + 2x) = cos(2x +\frac{3x}{2})

Or, cos(90° - (\frac{x}{2}+2x)) =  cos(2x +\frac{3x}{2})

SO, (90° - (\frac{x}{2}+2x)) = 2x+\frac{3x}{2}

Or, 90° =  2x+\frac{3x}{2} + \frac{x}{2}+2x

or, 90° = \frac{4x}{2} + 4x

Or,  90° =  \frac{12x}{2}

So, x =  \frac{90}{6} = 15°

∴ sin(\frac{x}{2} + 2x) = sin(\frac{15}{2} + 30)

So, sin(\frac{x}{2} + 2x) = sin\frac{75}{2}

∴  The value of Ф_1 = \frac{75}{2} = 37.5°

Similarly  cos(2x +\frac{3x}{2}) =  cos(30 +\frac{45}{2})

So ,The value of Ф_2 = \frac{105}{2} = 52.5°

∵ β   α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5°  Answer

7 0
3 years ago
Can someone please help me with this question
aniked [119]
2/9 divided by 1/2.   invert the second fraction and multiply

2/9  *  2/1 = 4/9
6 0
3 years ago
The recursive rule for a geometric sequence is given.
Sladkaya [172]

Answer:

an = 2/5 * (5) ^ (n-1)

Step-by-step explanation:

The common ratio is 5

(That is the number we multiply by)

The formula is

an = a1 (r) ^ (n-1)

an = 2/5 * (5) ^ (n-1)

7 0
3 years ago
Read 2 more answers
Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical. 20 students have tickets. S
vlabodo [156]

Answer:

<h2>The option B and D are the equations.</h2>

Step-by-step explanation:

Let, the total number of students are x.

The number of students having the ticket is 4 + \frac{x}{2}.

It is given that the number is 20.

Hence, 4 + \frac{x}{2} = 20\\4 = 20 - \frac{x}{2}.

Option B is the equation.

Option D is also the same.

The difference is just, the variable is wriiten in the other side.

4 0
3 years ago
Which of the function below could possibly have created this graph ?
lina2011 [118]

ANSWER

D.

f(x) =  -  {x}^{4}  +  {x}^{3}  + 3 {x}^{2}

EXPLANATION

The given graph rises on the left and falls on the right.

This implies that the degree of the function is even.

Since the graph opens downward, the coefficient of the leading term must be negative.

The graph graph of the function also has 3 intercepts with one of them having an even multiplicity.

This means that the degree must be 4.

Therefore the last choice is correct.

4 0
3 years ago
Read 2 more answers
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