HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]

Step-by-step explanation:

Given

[tex]\cos a=\dfrac{5}{9}[/tex]

[tex]a[/tex] lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value

[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]

[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]

He answered 16 questions correctly, and got 3 wrong answers.

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

Explanation:

Let

x,y,z are nonnegative whole numbers.

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

Since there are 20 questions total, this means the first equation to set up is:

x+y+z = 20

Solving for y leads to

x+y+z = 20

y+z = 20-x

y = 20-x-z

We'll use this later.

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

Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.

Let's plug the equation in which we isolated y

7x-4y = 100  

7x-4(20-x-z) = 100

7x-80+4x+4z = 100

7x+4x+4z = 100+80

11x+4z = 180

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Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.

If x = 0, then,

11x+4z = 180

11(0)+4z = 180

4z = 180

z = 180/4

z = 45

So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.

If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation

So another solution is (x,z) = (4,34)

Note that

11x+4y = 180

11(4) + 4(34) = 180

But like before, z = 34 isn't possible since 20 is the max.

Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.

Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.

Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.

Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.

We can see that:

7x-4y = 7(16)-4(3) = 112-12= 100

meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.

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

To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)

Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.

Answer:

the answer is option D

y =(3/4)x - (3/2)

Answer:

1.17279656871

Step-by-step explanation:

Answer:

1.72796569

Step-by-step explanation:

0.4567304 x 2.5678093 = 1.72796569

Answer:

C. y=7

Step-by-step explanation:

guy above me was right

The horizontal asymptote of the given function  [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]  would be y = 7.

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

The given function is

[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]

We need to determine the horizontal asymptote.

Horizontal asymptote;

From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.

Then, the horizontal asymptote is the y-axis.

Thus, the horizontal asymptote is y = 7.

Learn more about horizontal asymptotes here:

https://brainly.com/question/2513623

#SPJ2

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

Answer:o/1

Step-by-step explanation:

Answer:

I dont know what thats asking

Step-by-step explanation:

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

Answer:

D is the right graph

Answer:

11.8 m

Step-by-step explanation:

2/3πr^3=1100π

r^3=1650

r=11.8

Answer:

I think the answer should be Mat A cause it has more space.

Answer:

64

you are distrbuting  both the 8 which =64

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

8(5+3)

You distribute what's in the Parentheses

8 x 5 = 40 and 8 x 3 = 24

40+24 = 64

Answer:

we have to put the numbers in order..

(121,122,125, 126,132),M,(135,136,136,138,140)

Step-by-step explanation:

minimum : (smallest number) = 121

Q1 : 125

Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5

Q3 : 136

maximum : (largest number) = 140

I did this a long time ago so im not so sure

Answer:

Step-by-step explanation:

121 122 125 126 132 135 136 136 138 140

140 -121 =19 range

Min=121 max =140

Mean = 131.1

Median = 132+135=267/2=133.5

Answer:

3

Step-by-step explanation:

We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,

→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )

→ m = -3 - y / -7 - (-1)

→ 1 = -(3+y)/ -7+1

→ 1 = -(3+y) / -6

→ 6 = 3 + y

→ y = 6 - 3

→ y = 3

Answer:

B. 24

Step-by-step explanation:

Formula for area of a rectangle: base × height/ length × width

To find the height, divide the area by the base.

[tex]96/4=24in[/tex]

[tex]formula=base *height/length*width[/tex]

[tex]4*24=96in^2[/tex]

Answer:

that looks good

Step-by-step explanation:

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

Answer:

The volume is 8

Step-by-step explanation:

Volume=abc

V=(2/5)(2/5)(2/5)

V=8

Answer:

0.056

Step-by-step explanation:

Answer:

56/1000 = .056

Step-by-step explanation:

56/100 = .56

56/1000 = .056

56/10000 = .0056

Answer:

2/7

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).

The numerator is 5 because that's the number of red beans in the box.

Answer:

A turtle.

Step-by-step explanation:

Answer:

I would say geometry. its easier

Answer:

No picture try uploading it again and I can see if I can help you

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Answer:

2 degrees

Step-by-step explanation:

1) The temperature at 12:00 PM was -8 degrees celsius

2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM

3) -8 + 10 = 2

4) The temperature at 1:00 PM was 2 degrees celsius

5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end

6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius

7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM  

I hope this helps :D

Answer:the answer is -4f

Step-by-step explanation:

Answer:

The answer is C.