What is the period of a cosine and sine function

Answers

Answer 1

Answer: Depends, on the function. If its just cos and sin, then:
$2 \pi$

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A scale drawing of a square has a side length of 5 millimeters. The drawing has a scale of 1 mm : 5 km. Find the actual perimeter and area of the square.

Answers

Answer:

Actual Perimeter = 100 km

Actual Area = 625 km²

Step-by-step explanation:

A scale drawing of a square has a side length of 5 millimeters.

The drawing has a scale of 1 mm : 5 km (which represents 1 mm is equal to 5 km)

We need to find the actual measurement of 5 mm square on scale.

1 mm = 5 km

5 mm = 5 × 5 km

= 25 km

The actual length of the side of square is 25 km

Now, we find the perimeter and area of the square.

Perimeter of square = 4 × side

= 4 × 25

= 100 km

Area of the square = side × side

= 25 × 25

= 625 km²

Hence, The actual perimeter is 100 km and area of the square is 625 km²

Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y.2x9y4 + 4x6y3
2x3y2 + 4xy
2x3y2 + 4y2
2x3y2 + 4y

Answers

Answer:

Option 4th is correct

$2x^3y^2+4y$

Step-by-step explanation:

GCF(Greatest common factor) is the largest number that divide the polynomial.

Given the statement:

the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

⇒ $(10x^6y^3+20x^3y^2)/(5x^3y)$

To simplify this expression:

GCF of $10x^6y^3$ and $20x^3y^2$ is, $10x^3y^2$

then;

$(10x^3y^2(x^3y+2))/(5x^3y)$

⇒ $2y(x^3y+2)$

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

⇒ $2x^3y^2+4y$

Therefore, the simplified expression is, $2x^3y^2+4y$

(10x^6y^3 + 20x^3y^2) / 5x^3y

10x^6y^3 / 5x^3y ⇒ 2x^3y^2
20x^3y^2 / 5x^3y ⇒ 4y

2x³y² + 4y This is the simplified answer. The last option.

In a day, Robin spends 6 hours at school, sleeps for 9 hours, plays for 3 hours, and spends the rest of the time doing other things. Robin spends ______% of the day playing and _____% of the day doing things other than sleeping, playing, or going to school.

Answers

Answer:

Robin spends 12.5% of the day playing and 25% of the day doing things other than sleeping, playing, or going to school.

Step-by-step explanation:

In a day, Robin spends his time :

At school = 6 hours

Sleeps = 9 hours

Plays = 3 hours

Total time spent = 6 + 9 + 3 = 18 hours

Time left = 24 - 18 = 6 hours

doing other things = 6 hours

Now we have to calculate what % of the day he is playing and doing other things.

He spends 3 hours in playing = 3 hours of 24 hours

= 3 ÷ 24 × 100 = 12.5%

He spends 6 hours in doing other things = 6 hours of 24 hours

= 6 ÷ 24 × 100 = 25%

Robin spends 12.5% of the day playing and 25% of the day doing things other than sleeping, playing, or going to school.

6hrs = school
9hrs = sleeps = 18hrs // 24hrs ----6hrs left
3hrs = plays

6hrs = other things

playing = 12.5% -- 3/24 3/24*100
other things = 25% -- 6/24 6/24*100

Class 10 triangles
Please no scam answers

Answers

Answer:

PQR reduction of ABC in the ratio 16/24=2/3

PR =x = AC*2/3 = 30*2/3=20

QR = y= BC*2/3 = 9*2/3=6

Step-by-step explanation:

Answer:

x=20cm

y=6cm

Step-by-step explanation:

We are told ΔABC and ΔPQr are similar. This means their corresponding sides are in ratios to one another.

That means the ratio of AB to PQ, is equal to the ratio of AC to PR, is equal to the ratio of BC to QR. Written mathematically, this is:

$(AB)/(PQ) =(AC)/(PR) =(BC)/(QR)$

Find x/PR

Since we know the values of AB, PQ, and AC, we can use $(AB)/(PQ) =(AC)/(PR)$ to find PR (x):

$(AB)/(PQ) =(AC)/(PR)$

$(24)/(16) =(30)/(x)$

1.5= $(30)/(x)$

1.5x=30

x=20

Find y/QR

Since we know the values of AB, PQ, and BC, we can use $(AB)/(PQ) =(BC)/(QR)$ to find QR (y):

$(AB)/(PQ) =(BC)/(QR)$

$(24)/(16) =(9)/(y)$

1.5= $(9)/(y)$

1.5y=0

y=6

The system of equations below has exactly one (x, y) pair for its solution.4x+6y=244x+6y=24
2x+y=82x+y=8
If we double each side of the second equation, 2x+y=82x+y=8, we have 4x+2y=164x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation.
If needed, you can support your explanation with hanger diagrams (upload a picture), or by inventing a situation that the equations represent.
If we add the two equations in the original system, we have 6x+7y=326x+7y=32. Explain why the same (x, y) pair is also a solution to this equation.
Again, you can support your explanation with diagrams or a situation, if needed.

Answers

Final answer:

The equations are a system of linear equations. Modifying them through multiplication or addition while keeping both sides balanced doesn't change the solution. Any pair (x,y) satisfying one equation will satisfy the others.

Explanation:

In mathematics, these equations are a system of linear equations. This is essentially a set of two or more equations, with a common set of variables. The same pair (x, y) are the solutions for all equations, as the second equation is a simplified, scalar multiple of the first.

So, for the first original equation (4x + 6y = 24), and the modified one (4x + 2y=16) which is the second equation of the system doubled, we can see that the multiplier is the same for both the 'x' and 'y' on the left side, and the right side of the equation. Therefore, if a pair (x,y) has been found to satisfy the first equation, it will also work for the second, as essentially, the equations are equivalent.

Similarly, adding the original system of equations, we get 6x + 7y = 32. This also has the same solution set, just expressed differently. As long as you're performing the same operation (like doubling, adding etc.) to each side of the equations, the balance remains constant, retaining the same solution.

Learn more about System of Linear Equations here:

brainly.com/question/20379472

#SPJ12

Answer:

7.9

Step-by-step explanation:

because you don't make sentence

HELPPPPP PLEASEEEEEEEEEE PLS

Answers

Answer:

A) 2 with 9 as an exponent

Step-by-step explanation:

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