Using Trig to Find Angles

Answer:

405 cycles

Step-by-step explanation:

We have the equation:

y = 6*sin(324*π*t)

For the properties of the sin function, we know that the period is 2π.

So between:

Sin(x) and Sin(x + 2*pi)

we have a cycle.

between:

Sin(x) and Sin(x + 6*pi)

we have 3 cycles.

and so on.

Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds

Between these times, the difference in the argument of the sin function is:

324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5

Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5

That number is just the quotient between 324*π*2.5 and 2*π

N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405

There are 405 cycles between 3 seconds and 5.5 seconds.

Answer:

13.5 yd²

Step-by-step explanation:

area = 1/2 ×4.5×6 = 13.5 yd²

Step-by-step explanation:

A=(base x height)/2

Base=6yd

Height=4.5yd

A=(4.5 x 6)/2 = 13.5yd^2

Answer:

system has 1 solution at (2.5, -1.5)

Step-by-step explanation:

y = x - 4     this equation has a slope of 1 and a y-intercept of -4

3y - x = -7   this equation has a slope of 1/3 and a y-intercept of -7/3

Answer:

Step-by-step explanation:

Answer:

D. 150 cm²

[tex]area = 5 \times 5 \\ = 25 \: {cm}^{2} [/tex]

= 25 × 6 sides

= 150 cm²

Answer:

15%

Step-by-step explanation:

[tex]\frac{9}{60} = \frac{3}{20}[/tex]

[tex]\frac{3}{20} = 0.15\\[/tex]

[tex]0.15 = 15%[/tex]

Answer:

if it's given 60,

so 1%=6

so 15/10=9

so answer is 1.5

Answer:

26.01

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

From the dot plot given ; distance between each tick mark is 1/4

Bottle with least water = 1/4

Bottle with most water = 3/4

Number of times bottle with most is more Than bottle with least :

All we need to do is divide the greatest by the least :

That is :

3/4 ÷ 1/4

3/4 * 4/1 = 12 / 4 = 3

3 times

Answer: 3 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

(44=6x-1+9x.-5)

We move all terms to the left:

(44-(6x-1+9x.-5))=0

We add all the numbers together, and all the variables

(44-(6x+9x.-6))=0

We calculate terms in parentheses: +(44-(6x+9x.-6)), so:

44-(6x+9x.-6)

determiningTheFunctionDomain

-(6x+9x.-6)+44

We get rid of parentheses

-6x-9x.+6+44

We add all the numbers together, and all the variables

-6x-9x.+50

Back to the equation:

+(-6x-9x.+50)

We get rid of parentheses

-6x-9x.+50=0

We move all terms containing x to the left, all other terms to the right

-6x-9x.=-50

Answer:

1,317,840

17×17=289×16=4,624×19=87,856×15=1,317,840

Answer:

the answer is A.

Answer:

You need the legnth of x

Step-by-step explanation:

Answer:

C.42= 6 + 28 = 4 is the answer

Answer:

x = 3

Step-by-step explanation:

92 - 8x = 68

-8x = -24

x = 3

The two angles mentioned in the problem, if AD || EH, are congruent because they are corresponding angles.

Answer:

The coordinates of point B are (4,1)

Step-by-step explanation:

The easiest way of solving and explaining this question would to go by steps from each point. From point A to the midpoint, we go 1 left on the x axis from 6->5 and 3 up on the y axis from -5->-2. You then repeat these steps again to go from the midpoint to B. (5-1,-2+3) = (4,1)

Answer:

See below

Step-by-step explanation:

This is a piece-wise function.

         4, -4≤ x ≤ -2

f(x) =  2,  -2 ≤ x < 2

        -3,  2 ≤ x ≤ 4

Answer: I'm going to say 3

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

We can tell by finding out what each points coordinates are.

Its quite hard to describe how to do this on a phond yet you use the rule of

X coordinate first, then Y coordinate.

so (-5,5). -5 is the x coordinate

and 5 is the y coordinate.

Graphs can be quite difficult but for now, just remember x is across and y is up.

Good luck with future questions!

Answer:

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\6^{2} +7^{2} =x^{2} \\\sqrt{85} = x[/tex]

Answer:

sqrt(85) =x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + 7^2 = x^2

36+49 = x^2

85 = x^2

Take the square root of each side

sqrt(85) = sqrt(x^2)

sqrt(85) =x

Answer:

Step-by-step explanation:

 Slope = 3.200/2.000 = 1.600

 x-intercept = 5/8 = 0.62500

 y-intercept = 5/-5 = 1/-1 = -1.00000

Answer:

[tex]x = 7[/tex] --- toppings

[tex]y = 27[/tex] ---- amount

Step-by-step explanation:

Given

[tex]y \to\ amount[/tex]

[tex]x \to\ topping[/tex]

The first deal is:

[tex]y = 6 + 3x[/tex]

The second is:

[tex]y = 20 + x[/tex]

Required

The value of  x and y [for which both deals are equal]

We have:

[tex]y = 6 + 3x[/tex]

[tex]y = 20 + x[/tex]

Equate both

[tex]y=y[/tex]

So, we have:

[tex]6 + 3x = 20 + x[/tex]

Collect like terms

[tex]3x - x = 20 - 6[/tex]

[tex]2x =14[/tex]

Divide by 2

[tex]x = 7[/tex]

Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]

[tex]y = 20 + 7[/tex]

[tex]y = 27[/tex]

Answer:

a. x = 4.8989794855663561963945681494118 or 4.9 rounded

b. x = 8.6023252670426267717294735350497 or 8.6 rounded

Step-by-step explanation:

7² - 5² = x²

49 - 25 = x

49 - 25 = 24

√24 = 4.8989794855663561963945681494118

7² + 5² = x²

49 + 25 = x

49 + 25 = 74

√74 = 8.6023252670426267717294735350497

Answer:

all real numbers

Step-by-step explanation:

3 + 8x = 8x + 3

Subtract 8x from both sides.

3 = 3

Since 3 = 3 is a true statement, the solution is

x = all real numbers

Every number is a solution of this equation.

Answer:

2,000,000 - 2 million

20,00,000 - 20 lakhs

Answer:

10 lakh = 1,000,000

So 20 lakh is = 2 million

Hope it helps!

Given:

Consider the given expression is:

[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]

By using the quotient property of exponents, we get

[tex]=x^{4-2}y^{-4-(-2)}z^{-2-4}[/tex]              [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]

[tex]=x^{2}y^{-4+2}z^{-6}[/tex]

[tex]=x^{2}y^{-2}z^{-6}[/tex]

By using negative exponent property, we get

[tex]=\dfrac{x^{2}}{y^{2}z^{6}}[/tex]           [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]

The simplified form of the given expression is [tex]\dfrac{x^{2}}{y^{2}z^{6}}[/tex].

Therefore, the correct option is B.

Answer:

I think the height is 22.

Answer:

87cm

Step-by-step explanation:

Length x width = area

98 x width = 8526

width=8526/98

width=87

Answer: The answer is E: |-4|<|-7| and C: |-7|>|4|