Write the expression in terms of cosine.please help.

Answer:

Step-by-step explanation:

(look at the picture)i

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

According to the markings in my picture we have:

2a = 14, a = x, a√3 = y

Therefore

2a = 14        divide both sides by 2

a = 7 → x = 7

a√3 = 7√3 → y = 7√3

She will need 8 cups of vinegar.

Hope this helps!

Answer:

Step-by-step explanation:b the answer is diversity

Answer:

60%

Step-by-step explanation:

Sales Price = 100 - 40 = 60%

The sales price is $30.00

Therefore 60% is equal to $30.00

60% = $30

1% = 30 ÷ 60 = $0.50

100% = 5 x 100 = $50

The original price is $50

Percentage of the original price = 30/50 x 100 = 60%

Answer:

new value = $50 × (1 − 0.12)3 = $50 × 0.883 = $34.07.

Step-by-step explanation:

A)20

B)History

C)$5

D)yes

The correct answer is A) What is your age because This question is a statistical question because the survey is for people of "various ages." Finding out the ages of the greatest number of people who have not seen the game will help the company develop advertising that will reach and appeal to that group.

Answer:

Step-by-step explanation:

Solve the inequality -x/2 ≤ 1.  Let's eliminate the fraction first, by multiplying both sides by 2:

-x ≤ 2

We want to solve for +x, not for -x.

Therefore, divide both sides of this latest inequality by -1, remembering to reverse the direction of the inequality sign:

-x ≤ 2  →  x ≥ -2

Answer:

There are 286 possible combinations

Step-by-step explanation:

To solve this problem we must use the formula of combinations.

[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]

Where n is the number of players that there are and elect r of them

In this case there are 7 + 6 = 13 players and you choose 10 of them

Then we look for  13C10

[tex]13C10 =\frac{13!}{10!(13-10)!}[/tex]

[tex]13C10 =\frac{13!}{10!*3!}[/tex]

[tex]13C10 =286[/tex]

There are 286 possible combinations

Answer:

it should be 9,8

Step-by-step explanation:

After 3 days Chelsea and Zack earn the same amount for dog sitting.

Equation for Chelsea: y = 3x + 2

Equation for Zack: y = 3x

After how many days they earn the same amount: After 3 days; both Chelsea and Zack earn $9.

Answer: 1:45

Step-by-step explanation: If Tom left his house at 1:00 and it took him 45 minutes to get the pool, adding 45 minutes to 1:00 would make his arrival time 1:45. Therefore, he arrived at the pool club at 1:45. Have a great day!

Answer:

he can buy 2

Step-by-step explanation:

He can buy 2 pizzas.

Answer: 3 field goals, 4 touchdowns

Step-by-step explanation:

The number of field goals and touchdowns of the team score will be 3 and 4, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A football team scored a total of 37 points in a game. The team scored some field goals worth 3 points each and some touchdowns with extra points, each together worth 7 points. The team made 19 more points in touchdowns with extra points than in field goals.

Let 'x' be the number of field goals and 'y' be the number of touchdowns. Then the equations are given as,

3x + 7y = 37        ...1

7y = 3x + 19        ...2

From equations 1 and 2, then we have

14y = 56

y = 4

Then the value of 'x' is calculated as,

7(4) = 3x + 19

28 = 3x + 19

3x = 9

x = 3

The number of field goals and touchdowns of the team score will be 3 and 4, respectively.

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Answer: (i think these are right)

experimental: 27.08% theoretical: 50% ?

B, look where the function is intersecting the x-axis.

Answer:

[tex]\boxed{\textbf{B). } x = -1, x = 2}[/tex]

Step-by-step explanation:

The solutions to the quadratic function are the points where its graph crosses the x-axis.

The graph crosses the axis at x = -1 and x = 2, so the answer is

[tex]\boxed{x = -1, x = 2}[/tex]

The deviation of the set of data is 678

y = 3(-x - 2)

Any horizontal transformations or reflections you make to y = x must be within the parentheses.

The transformed function is g(x) = -7 [tex]log_6[/tex] (-x) +2

The given base function is

f(x) = [tex]log_6[/tex] (x)

Then we have to find the transformed function.

First of all, the graph of the base function f(x) = [tex]log_6[/tex] (x) is vertically stretched by a factor of 7, then the newly transformed function becomes y = 7[tex]log_6[/tex](x)

Then the graph of y = 7[tex]log_6[/tex](x) is reflected over the x-axis, then the newly transformed function becomes y = -7log6(x)

Then the graph of y = -7[tex]log_6[/tex](x) is reflected over the y-axis, then the newly transformed function becomes y = -7[tex]log_6[/tex](-x)

And finally, the graph of y=7log6(-x) is vertically shifted up by 2 units, then the newly transformed function becomes

y = -7 [tex]log_6[/tex] (-x) +2

which is the required equation for the transformed function.

To determine the percentage of students who passed both exams, we first calculate the percentage of students who failed in either subject, then subtract that from 100%. Given that 15% failed in Science, 20% in Mathematics, and that 10% failed in both, we find that 75% of students passed both courses.

In this question, we have to find out the percentage of the candidates that passed in both subjects, Science and Mathematics. The percentages given show the failure rates in Science, Mathematics, and in both. Here, we need to use the concept of sets where we sum the individual percentages and subtract the intersection. It is defined as P(A U B) = P(A) + P(B) - P(A ∩ B).

According to the problem, 15% failed in Science and 20% in Mathematics. So, the candidates failing in any one of the subjects would be 15% + 20% = 35%. However, those who failed in both subjects (i.e., intersection part) is 10%, and double-counted when we added up the individual percentages. Therefore, we subtract this from our earlier total, giving us 35% - 10% = 25%. This implies that 25% of candidates fail in at least one subject.

As for those who pass in both, since we know that the total should be 100%, and we've figured out that 25% failed in at least one subject, thus, those who passed should be the remaining 75%.

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The percentage of those who passed in both the subjects is equal to 85%.

In order to determine the percentage of those who passed in both the subjects, we can use the principle of inclusion and exclusion;

Based on the principle of inclusion and exclusion, we have:

Total percentage of candidates who failed in either Science or Mathematics = A + B - C

Percentage of candidates who passed in both subjects = 100% - (A + B - C)

Percentage of candidates who passed in both subjects = 100% - (15% + 20% - 10%)

Percentage of candidates who passed in both subjects = 100% - 15%

Percentage of candidates who passed in both subjects = 85%.

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Answer:

a. -12

Step-by-step explanation:

The question is about  finding 3×3 matrix determinant

The general formulae for finding determinant;

when given a matrix {a  b  c}

                                  {d   e  f}   = a.x [e  f] -  b. x [d f]  + c .x [d e]

                                  {g    h  i}               [h   i]             [g i]                 [g h]

where x=determinant

Substitute values

{-1  5  1 }      {a b c}

{4  -2  2}   ={ d e f}  = -1 x{-2 2} - 5 x {4 2} + 1 x {4 -2}

{1    2   2}     {g h i}            {2  2}        {1  2}          {1    2}

=-1 {-4-4} - 5{ 8-2} + 1{ 8--2}

=-1{-8} - 5{6} + 1{10}

= 8- 30 +10

= -12

=

Answer: For 1 cup of flour, there should be 6 teaspoons of vanilla.

Step-by-step explanation:

What I did is that I found what 1 ÷ 2/3 equals. To find that, I used the reciprocal so the new equation would be 1 × 3/2 which equals 3/2. So since 2/3 × 3/2 equals 1, we have to do the same to 4 teaspoons. 4 × 3/2 equals 6. Therefore, there should be 6 teaspoons of vanilla for every one cup of flour.

Hope this helps! Don't hesitate to ask for clarification.

Answer: A=w^2 + 6w

Step-by-step explanation: I know that this is way late but hopefully it will help someone else in the future.

Answer:

5 hours 12 mins

Step-by-step explanation:

You run 5 miles in 1 hour.

5 miles = 1 hour

1 mile = 1 ÷ 5 = 0.2 hour

1 mile = 0.2 hour

26 miles = 0.2 x 26 = 5.2 hours

5.2 hours = 5 hours + (0.2 x 60) mins

5.2 hours = 5 hours 12 mins

If the speed is 5 miles per hour. Then the time taken to complete marathon of 26 miles will be 5 hours and 12 minutes.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

You run 5 miles in 1 hour.

Then the speed will be

Speed = 5/1

Speed = 5 miles per hour

Then the time taken to complete marathon of 26 miles will be

Time = Distance / Speed

Time = 26 / 5

Time = 5.2 hours

The time 5.2 hours can be written as 5 hours and 12 minutes.

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[tex]

\frac{4}{5}\times\frac{-2}{9}=\boxed{\frac{-8}{45}}

[/tex]

Answer:

81°

Step-by-step explanation:

By the outside angle theroem, we know that 2 * angle APC is differece of arcs DC and AB.

Angle APC = 27° so the difference is 54°

Arc DC = 27°, so Arc AB =  27° + 54° or 81°.

Each egg will cost $0.14. Hope this helps. Please mark BRAINLIEST!:)

Each egg will cost about 14 cents

Answer:48 hours and 24 minutes

Step-by-step explanation:

Answer:

Desmond's spinner.

Answer:

Desmond's spinner

Answer:

The total area of the two rectangles is [tex](5x^{2} +7x)\ units^{2}[/tex]

Step-by-step explanation:

Area of rectangle 1

[tex](x)(3x+1)=(3x^{2} +x)\ units^{2}[/tex]

Area of rectangle 2

[tex](2x)(x+3)=(2x^{2} +6x)\ units^{2}[/tex]

therefore

The total area of the two rectangles is equal to

[tex](3x^{2} +x)\ units^{2}+(2x^{2} +6x)\ units^{2}=(5x^{2} +7x)\ units^{2}[/tex]

The correct choice is [tex]5x^{2} +7x[/tex]. By expanding and combining the terms, the total area of the two rectangles is represented by the expression found.

Let's first expand each term in the expression (x)(3x+1) + (2x)(x+3) to determine the total area of the two rectangles:

Now, add the two results together:

Therefore, the expression that represents the total area of the two rectangles is [tex]5x^{2} +7x\\[/tex] .

Complete question:

The total area of two rectangles can be represented by the expression (x)(3x+1) + (2x)(x+3). Which expression represents the total area of the two rectangles?

Answer:

additive identity

Step-by-step explanation:

-11 + N = -11

Add 11 to each side

-11 + 11 + N = -11 +11

N = 0

When we add 0 to each side, we are adding the additive identity

Adding zero does not change the value

The solution to the system of equations 3x + 7y = 46 and -3x - 8y = 50 is x = 239.333... and y = -96. This can be verified by plugging these values back into the original equations.

To find the solution of this system of equations, we can use the method of adding the two equations together, as they are set up nicely for elimination:

Add the two equations together:

3x + 7y - 3x - 8y = 46 + 50
0x - y = 96
y = -96

Substitute y = -96 back into one of the original equations, for example the first equation:

3x + 7(-96) = 46
3x - 672 = 46
3x = 46 + 672
3x = 718
x = 718 / 3
x = 239.333...

The solution to the system is x = 239.333... and y = -96. We can verify the solutions by substituting back into the original equations.

A 5" * 7" image reduced by 20% in scale to 80% of the original size will be 4" * 5.6". Roughly the size of a large flash card.

When a 5 inch by 7 inch picture is reduced using an 80% setting, the new dimensions will be 4 inches by 5.6 inches.

To calculate the new size of a 5 inch by 7 inch picture when reduced by 80%, we simply multiply both dimensions by the reduction percentage. Hence, the width and the height of the picture will be reduced to 80% of their original size.

Original width: 5 inches

Original height: 7 inches

Reduction setting: 80% (or 0.8)

New width: 5 inches × 0.8 = 4 inches

New height: 7 inches × 0.8 = 5.6 inches

Therefore, the new dimensions of the picture will be 4 inches by 5.6 inches after an 80% reduction.