Find the value of each trigonometric ratio.

Answer

24 frames per second

Step-by-step explanation:

Total frames=86,400

Total time=1 hour

Find frame per second

1 hour= 60 minutes*60 seconds

1 hour=3600 seconds

Frame per second=Total frames/Total number of seconds

=86,400/3600

=24 frames per second

Answer:

Hope should not pull her defender.

Step-by-step explanation:

When Hope has pulled her defender:

The team had lost 4 times, tied 2 times, and won 3 times.

Hence, the total number of times she meets her goal is:

6 times (Since the goal is to either tie or win the game )

Hence, the probability that she meets her goal is =   6/9=2/3=0.66

When she  left her defender in the game:

The team has lost 1 time, tied 3 times, and won 6 times.

Hence, the total number of times she meets her goal is: 9

Hence, the probability that she meets her goal is: 9/10=0.9

As the probability of meeting her goal is more when she left her defender in the game is more.

 Hence, Hope should not pull her defender.

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Consider the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{T'V'}{TV}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

             i) TRUE

             ii) TRUE

             iii) TRUE

Step-by-step explanation:

[tex](ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0[/tex]

[tex](a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=[/tex]

[tex]=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc[/tex]

[tex](p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3[/tex]

Answer:  see proofs below

Step-by-step explanation:

7i)  (ab + bc)(ab - bc) = a²b² - ab²c + ab²c - b²c²  →  a²b² - b²c²

  + (bc + ca)(bc - ca) = b²c² - abc² +abc² - a²c²   →             b²c²  - a²c²

  + (ca + ab)(ca - ab) = a²c² - a²bc + a²bc - a²b²  →                      a²c² - a²b²

                                                                             =   a²b² +  0   +   0   - a²b²

                                                                             = 0

7ii) a(a² + b² + c² - ab - bc - ca) = a³ + ab² + ac²           - a²b - abc - a²c

  + b(a² + b² + c² - ab - bc - ca) = b³ - ab²          + bc² + a²b - abc           - b²c

  + c(a² + b² + c² - ab - bc - ca) = c³           - ac² - bc²           - abc  + a²c + b²c

                                 =  a³ + b³ + c³  + 0     + 0   + 0     + 0   - 3abc + 0   + 0

                                  = a³ + b³ + c³ - 3abc

7iii) p(p² + pq + q²) = p³ + p²q + pq²

    -q(p² + pq + q²) =     - p²q  -  pq² - q³

                              = p³   + 0    + 0    - q³

                              = p³ - q³

Answer: 10 is a multiple of 90

Step-by-step explanation:

90/10 = 9.  Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.

Hope it helps <3

Answer:

Step-by-step explanation

:

Why is 10 a multiple of 90?

simply

10 · 9 = 90

Answer: 52.9

Step-by-step explanation:

The value 5 is rounded up.

Hope it helps <3

Answer:

52.9

Step-by-step explanation:

round up using the last number. since its 5, you round up

Answer:

63.4°

Step-by-step explanation:

The following data were obtained from the question:

Opposite = 6 cm

Adjacent = 3 cm

Angle x =?

The value of angle x can be obtained as follow:

Tan x = Opposite/Adjacent

Tan x = 6/3

Tan x = 2

Take the inverse of Tan.

x = Tan¯¹ 2

x = 63.4°

Therefore, the value of angle x is 63.4°

Answer:

63.4°

Step-by-step explanation:

The Answer is A.)

A picture of my answer

Answer:

12

Step-by-step explanation:

The proper divisors of 12 are

1 2 3 4 6

Add those together you get 16

Answer:

[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

===========================================

f(x) = x + 8

shift the graph 2 units to the right

f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6

Answer:

This question is about half-angle trigonometric identities, which are specific formulas that help us to solve problems with half-angles.

In this case, if you need a half-angle identity for the tangent, you could use

[tex]tan(\frac{x}{2} )=\frac{sin(x)}{1+cos(x)}[/tex]

[tex]tan(\frac{x}{2})=\frac{1-cos(x)}{sin(x)}[/tex]

[tex]tan(\frac{x}{2})=\sqrt{\frac{1-cos(x)}{1+cos(x)} }[/tex]

Therefore, the right identity must satisfy the expression above.

Answer:

In picture

Step-by-step explanation:

Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

Answer:

3

Step-by-step explanation:

In Set A, the minimum is 4 and the maximum is 7 without X which would make the range 7 - 4 = 3 but we want the range to be 4, therefore X has to be 4 + 4 = 8. Unfortunately, this would then make the range of Set B 8 - 1 = 7 so X has to be the smallest number in Set A which would be 7 - 4 = 3.

Answer:

a. -17 -9n

Step-by-step explanation:

Question written clearly below:

Which answer choice is equivalent to the expression below?

-7(2+n)+1/3(-9-6n)

a.-17 -9n

b, -14-12n

c. 11+5n

d. 14+2n

Solution

-7(2+n)+1/3(-9-6n)

Open parenthesis

(-14-7n)+(-9/3-6/3n)

= -14-7n+(-3-2n)

= -14-7n-3-2n

Collect like terms

= -14-3-7n-2n

= -17-9n

The answer is option a. -17 -9n

Answer:

-17 -9n

Step-by-step explanation:

i got it right on edge

The number of social events will be 3.

Numeral variables and operations marked by the signs for addition, subtraction, multiplication, and division are combined in the mathematical equation.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also signify other characteristics of logical grammar, such as the operation order.

Given that a social club's monthly membership cost is $10. Every time a member takes part in a social event that the club hosts, a separate cost is applied. A $35.00 participation fee is charged for each event. Amanda was charged $115.00 for a month.

The number of events will be calculated as follows:-

TC = 10 + 35N

115 = 10 + ( 35 x N)

N = ( 115 - 10 ) / 35

N = 105 / 35 = 3

Therefore, the number of social events will be 3.

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Answer:

Step-by-step explanation:

identitiy property

Answer:

The correct option is;

It has no reflectional symmetry

Step-by-step explanation:

Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror

Lines of reflectional symmetry can be found in squares, circles, and triangles

The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry

Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.

Answer:

I think

x y

2

3

4

6

6

9

Step-by-step explanation:

but i don't see any table

Answer:

[tex]7\sqrt{2}[/tex]

Step-by-step explanation:

Use trigonometry.

sin 45 degrees = x/14

plug in values and you get x = [tex]7\sqrt{2}[/tex]

Answer:

72

Step-by-step explanation:

Answer:

use factoring x (see attachment)

-8 x 7 = -56

-8 + 7 = -1

(x - 8)(x + 7) = 0

x = 8, -7

hope this helps :)

Answer:

105 m

Step-by-step explanation:

Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.

The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.

Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m

Perimeter of mirror = length of border to add = 105 m

The border is 105 m long.

Answer:

Yes, No, Yes

Step-by-step explanation:

Yes for m/s which is meters per second.

No for min/ft which is reversed and should be feet per minute.

Yes for km/h which is kilometers per hour.

The correct unit for speed is distance per time.

Answer:

MPH

Step-by-step explanation:

Answer:

a) 18

b) 20

c) 12

d) 12

Step-by-step explanation:

a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18

b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20

c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12

d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12

To find the vertex, you need to find the axis of symmetry first.

In order to find the axis of symmetry we have to do -b/2a.

In our case, the b is -8 and the a is 1.

Plug it in.

-(-8)/2(1)

8/2 = 4

Our axis of symmetry is 4.

Now, we plug it into the equation to find the rest of the vertex.

y = 4^2 - 8(4) + 1

y = 16 - 32 + 1

y = -16 + 1

y = -15

Put it together.

Our vertex is (4,-15).

Answer:

D. so you don't confuse properties of the model with properties of the real thing.

2-Mathematical and computer models are similar because both involve using calculation to represent an object or system

3- Some models can illustrate a system. What does the term system refer to

A. a collection of interacting things

4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy

5. An advantage of describing a cell as being like a factory is that it _____

A. makes cells easier to understand

6- C. cheaper and more complex

7-C. clearly explained where electrons were located in an atom

8-C. a physical model

9-B. can be easier to change

GOOD LUCK

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

720=3x

Divide 3 on both sides

x=240

There are 60 minutes in 1 hour.

60 ÷ 3 = 20

12 × 20 = 240

In one hour, the airplane could fly at 240 miles.

Answer:18

Step-by-step explanation:

There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Since we know that

1 Quarter = 0.25 of Dollar

1 Dime = 0.10 of Dollar

1 Nickel = 0.05 of Dollar

Let's say we make Q number of the quarter, D number or dime, and N number of nickel.

Then equation formed will be

0.25Q + 0.10D + 0.05N = 0.75

From it is clear that the possible outcomes are

Qarteres =1, Dime =1, Nickel =2

Qarteres =1, Dime =2,Nickel = 4

Qarteres =1,Dime =3, Nickel = 6

Qarteres =1,Dime =4, Nickel = 8

Qarteres = 2, Dime =1,Nickel = 1

Qarteres = 2, Dime =2, Nickel = 3

Hence there will be a total of 6 outcomes.

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Answer:

9 years

Step-by-step explanation:

hope it helps the

the explanation is kinda long

Answer:

ii) £120

iii) £2,400

a) 10 workers

c) 4 workers more to be employed.

Step-by-step explanation:

ii) To find the buying price we deduct 20% (percent) from the selling price of £150.

= 20/100 x 150

= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120

iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as

12% or 12/100 x 20,000 = £2,400

a) Put simply, we create an equation for the problem.

4 men * 10 days = 40 man days.

X men * 4 days = 40 man days.

Let's substitute the equation:

(X/ 4) * (4/ 10) = 40 / 40

(X/4) * 0.4= 1 (collect like terms)

0.4 * x = 4

0.4x/0.4= 4/0.4

x = 10 workers.

(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).