trigonometric identities help

Answer:

The distance between C and D is 4.2768 inches.

Step-by-step explanation:

As from A to B the distance is 5.625 inches and actual is 1688 miles

so,

1 mile = 5.625/1688 = 0.0033 inches

So, the distance between C and D is 1296 miles

= 1296 x 0.0033 inches = 4.2768 inches  

Answer:

Step-by-step explanation:

Total points needed for two tests to average 90 is 90 x 2 = 180 points.

Subtract the score of the first test from the total points needed:

180 -95 = 85

She needs an 85 on the second test.

Answer:

[tex]79\%[/tex]

Step-by-step explanation:

The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.

Formulas used:

The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:

Area of square: [tex]A=2^2=4[/tex]

Area of circle:

[tex]A=1^2\pi=\pi[/tex]

Therefore, the probability that the point will be inside the circle is:

[tex]\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}[/tex]

Answer:

4th option, 7/4 and

5th option, 3

Step-by-step explanation:

The line seems like it will have a positive slope and will not be 0 since it's not passing through the origin

so, possible values are 7/4 and 3

Answered by GAUTHMATH

Answer: The answer would be 7/4, 3

Step-by-step explanation:

The value of the function at f(5) according to the task content is; Choice B; 37.

According to the task content, it follows that the function given is; f(x) = 8x-3.

Hence, it follows that the value of f(5) as required can be evaluated as follows;

f(5) = 8(5) -3.

f(5) = 40 -3

Hence, the value is; 37

Read more on functions;

https://brainly.com/question/25638609

#SPJ1

Answer:

Charley's class.

Step-by-step explanation:

There are 25 students in Amanda class and 27 in Charley's.

Number of students with no pets in Amanda's = 7 which is 100 * 7/25 = 28%.

In Charley's class this is  8 which is 100 * 8/27 = 29.6%.

Answer:

Charley's class

Step-by-step explanation:

Amanda's class has 7 students with zero pets out of 25 total students. Charley's class has 8 students with zero pets out of 27 total students.

7/25 = 28% with zero pets

8/27 = around 30% with zero pets

Charley's class has a larger percentage of students with no pets

Answer:

= -21x + 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okay bro who gave you this question. I attempted to do this and I assumed it was a right triangle. That means a^2 + b^2 = c^2:

(x-5)^2 + (2x+1)^2 = (4x+3)^2

I plugged this into symbolabs and got a positive value for x to be [tex]\frac{2\sqrt{103}-15}{11}[/tex] which is approx 0.482. It does work when you plug it back in but that means x-5 < 0 which isn't possible. So unless you wrote something down wrong, this question technically doesn't make any logical sense.

Answer:

Cumulative price change 105.96%

Average inflation rate 2.36%

Converted amount ($100 base) $205.96

Price difference ($100 base) $105.96

CPI in 1990 130.700

Step-by-step explanation:

Answer:

[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]

Answer:

choice A is the answer

Step-by-step explanation:

[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]

but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.

Answer:

The answer is not a function

Step-by-step explanation:

I think at least

Answer:

Age of the spear head = 6349 years.

Step-by-step explanation:

Expression to be used to calculate the age of the spear head,

[tex]N_t=N_0e^{-kt}[/tex]

Here, [tex]N_t[/tex] = Final amount of C-14

[tex]N_0[/tex] = Initial amount

[tex]k[/tex] = 0.0001

[tex]t[/tex] = Time in years

If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]

[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]

[tex]0.53=e^{-0.0001t}[/tex]

[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]

[tex]-0.634878=(-0.0001)t[/tex]

[tex]t=6348.78[/tex] years

[tex]t[/tex] ≈ [tex]6349[/tex] years

Therefore, age of the spear head = 6349 years.

Answer:

is there anything underneath it? it says which of the following

Step-by-step explanation:

Answer:

54? or 5.4 I not really sure but I tried my best

Answer:

66 dollars im pretty sure

Step-by-step explanation:

Answer:

5 m

Step-by-step explanation:

Find the total length of the shelf by adding together the lengths of the two boards:

1 1/2 + 3 1/2

= 5

So, the total length of the shelf is 5 m

Answer:

Step-by-step explanation:

There are a couple of ways you could solve this problem. B is one of them.

The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height

Let the tree equal x

100/220 = x / 176           Multiply both sides by 176

100 * 176 / 220 = x

x = 80

Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220

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

Explanation:

He answered 5/7 of the 35 short-answer questions correctly. So he got (5/7)*35 = 25 of those questions correct. At 2 marks each for these questions, he earned 25*2 = 50 points from this group alone.

There are 35 short-answer questions and 15 long-answer questions. That's 35+15 = 50 questions total.

We're told that he answered 60% of all the questions correctly. So he answered 0.60*50 = 30 questions correctly.

Earlier we found that he answered 25 short-answer questions, which must mean he got 30-25 = 5 long-answer questions done correctly. At 4 marks a piece, Keith earns 5*4 = 20 points in this group.

So overall, he earned 50+20 = 70 points from both types of questions.

---------------------

If he got all answers correct, then he would earn 35*2 = 70 points from the short-answer questions and 15*4 = 60 points from the long-answer questions. That's a total of 70+60 = 130 points to get a perfect score.

The ratio of his score to the perfect score is 70:130 which reduces to 7:13 when dividing both parts by the GCF 10.

9514 1404 393

Answer:

  70/130 . . . . reduces to 7/13

Step-by-step explanation:

The problem statement describes 2 kinds of quiz questions, and different relations regarding the numbers of questions answered correctly. The problem asks for the number of marks Keith had relative to the total number of marks.

This means you need to find Keith's marks and the available marks for each question type (4 numbers).

Because of the way the problem tells you the number of long-answer questions answered, additional computations are required to find the total number of questions Keith answered and the number of short-answer questions Keith answered. (The difference of these is the number of long-answer questions answered.) That's 3 more computations.

You have to keep in mind the purpose of each computation and how it fits in to the final result. This is why we label the intermediate results.

Short Answer Marks

There were 35 short-answer questions for 2 marks each. That's a total of ...

  (35)(2) = 70 . . . . marks for all short-answer questions

Keith got 5/7 of those, so got ...

  (5/7)×70 = 50 . . . . Keith's marks for short-answer questions.

__

Long Answer Marks

There were 15 long-answer questions for 4 marks each. That's a total of ...

  (15)(4) = 60 . . . . marks for all long-answer questions

The total number of questions on the quiz was 35 +15 = 50. Keith answered 60% of them, so answered ...

  0.60×50 = 30 . . . . total number of questions Keith answered

We know Keith answered (5/7)(35) = 25 short-answer questions, so must have answered 30-25 = 5 long-answer questions. His marks for those were ...

  (5)(4) = 20 . . . . Keith's marks for long-answer questions

__

Total Marks

Then the total number of marks for all answers on the quiz is ...

  short marks + long marks = 70 +60 = 130 . . . available marks

And Keith's overall score was ...

  (Keith's short marks + Keith's long marks)/(available marks)

  = (50 +20)/130 = 70/130 . . . . Keith's score ratio for the quiz

Answer:

x = - 3, x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

(2x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x + 3 = 0 → x = - 3

2x - 1 = 0 ⇒ 2x =  1 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer:

x = 0.5 and -3

Step-by-step explanation:

(2x - 1)(x + 3) = 0

We are solving for the two x values (since this is a polynomial)

(2x-1) = 0/(x + 3)

2x - 1 = 0

2x = 1

x = 1/2 = 0.5

And the second x value

(x + 3) = 0 / (2x - 1)

x + 3 = 0

x = -3

Answer:

A

Step-by-step explanation:

5 is 50/1000, and 1/2% is equal to 5/1000

Answer:

A) 55/ 1,000

5 1/2% = 11 / 200 = 55/ 1,000

Answer:

C  router

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The second term should be positive.

The last term should be -1 1/2 not -1 1/4.

He did not correctly multiply -8 and -2.

Answer:

b,c,d

Step-by-step explanation:

(.*_*)hope this helps(- _-.)

Given:

The slope of a line is [tex]-\dfrac{3}{4}[/tex].

To find:

The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.

Solution:

We know that the slopes of parallel lines are equal.

The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.

The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.

The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.

The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.

Therefore, the lines M and P are neither parallel nor perpendicular.

Answer:3

Step-by-step explanation:

Just count from -1 to positive 2 the dot doesn’t move

Answer:

A

Step-by-step explanation:

because when i dentify graph theres y an x

The feasible region of the result is defined by the system of inequalities.

Correct response:

The system of inequalities shown in the graph is given by the option B.

B. y ≤ x + 1

y ≤ x² - 3·x

Please find attached the possible graph of the inequality

The possible graph obtained from a similar question has a straight line portion and a quadratic portion.

Points on the straight line are; (0, 1), (3, 4), and (5, 6)

Therefore;

[tex]Slope \ of \ the \ line = \dfrac{6 - 1}{5 - 0} = 1[/tex]

Equation of the line is; y - 1 = 1 × x

Therefore;

y = x + 1

The shaded region is below the line which gives;

Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).

The general form of a quadratic equation is; y = a·x² + b·x + c

Therefore, we have;

0 = a × 0 + b × 0 + c

Which gives;

c = 0

4 = a × 4² + b × 4 = 16·a + 4·b

-2 = a × 2² + b × 2 = 4·a + 2·b

4 = 16·a + 4·b...(1)

-2 = 4·a + 2·b...(2)

Multiplying equation (2) by 2 and subtracting from equation (1) gives;

2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b

-4 = 8·a + 4·b

4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a

8 = 8·a

[tex]a = \dfrac{8 }{8} = 1[/tex]

a = 1

-2 = 4 × 1 + 2·b

2·b = -2 - 4 = -6

[tex]b = \dfrac{-6}{2} = \mathbf{ -3}[/tex]

Which gives;

y = 1·x² - 3·x = x² - 3·x

The line is a solid line and shaded region is the region under the graph which gives;

Therefore;

The inequalities in the graph are given by option B.

B. y ≤ x + 1

y ≤ x² - 3·x

Learn more about graph of inequalities here:

https://brainly.com/question/6749279

Answer:

Step-by-step explanation:

[tex]\frac{-3x}{2}[/tex] = 5

multiply both sides by 2

2 ( [tex]\frac{-3x}{2}[/tex] = 5 )

-3x = 10

divide both sides by  [tex]\frac{-1}{3}[/tex]

[tex]\frac{-1}{3}[/tex] ( -3x = 10 )

x = [tex]\frac{-10}{3}[/tex]

got it?

Answer:

x = -10/3

Step-by-step explanation:

2(-3x/2) = (5)2

-3x = 10

-----    ---

-3     -3

x = -10/3

There are two shapes a rectangle and a triangle.

Area of a rectangle = Length x width = 10 x 8 = 80 square ft.

Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.

Total area = rectangle + triangle = 80 + 24 = 104 square ft.

Answer 104 square ft.

Answer:

104 ft^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the are of the triangle

A = 1/2 bh = 1/2 (6) * 8 = 24

Add the areas together

80+24 = 104

Answer: 0. 92 = 92%

100% = 500

92% = 500 × 92/100 = 460

Step-by-step explanation: