Find the distance between a point (-7,-19) and a horizontal line at y = 3 .

5x + 4 - 12 + 4x - 9 + 2y=360

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity

[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]

By using the identity above gives

[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]

[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]

[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]

Now to find the value of cosA , we'll use the same identity.

[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]

[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]

[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]

Now we know that

[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]

So value of sin(a+b) =

[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]

[tex] = \frac{3}{13} + \frac{48}{65} [/tex]

[tex] = \frac{63}{65} [/tex]

Answer:

168 m

Step-by-step explanation:

Answer:  448 dollars

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

Work Shown:

P = 400 is the balance

r = 0.12 is the decimal form of the interest rate

t = 1 is the number of years

Use those values to get the simple interest to be

i = P*r*t

i = 400*0.12*1

i = 48

The amount of interest charged is $48

Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.

Answer: choice A :  3.49/25 = 0.139 rounds to 14 cents per oz

choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz.  lowest price is choice B

Answer: 63 as a decimal is 0.63

Step-by-step explanation:

Answer:

the answer to your question is 0.63

Answer:

0.25

12/5+(7x5)

Step-by-step explanation:

12/5+(7x5)

12/5+35

12/40

Answer:

9.9 months not counting mortgage or any other factors

Step-by-step explanation:

Answer:

4 tickets =$48

1 ticket = $48/4

= $ 12

11 tickets =11*$12

= $132

Answer:

Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

To find the amount of nuts that fills entire basket we can put this as:

Use cross-multiplication to find the value of x:

PART B

Answer:

D

Step-by-step explanation:

Answer:

the answer is 4

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

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Answer:

(5,1) (4,2) (1,3)

Step-by-step explanation:

since is going a clockwise rotation the -x(5,4,1) all will become positive

Answer:

6

Step-by-step explanation:

Using PEMDAS, you would first do the exponent which is equal to 9. the following it you would do 5x9 which is 45 and divide it by 3 which gives you 15. finally you subtract the 9 from 15 and get 6.

Answer:

6

Step-by-step explanation:

5 x 9 ÷ 3 - 3²

5 x 9 ÷ 3 - 9

45 ÷ 3 - 9

15 - 9

6

use PEMDAS for the order of operations.

Answer:

..

Step-by-step explanation:

Step-by-step explanation:

45% of number = 180

=> 100% of number = 180 * (100/45) = 400.

Hence the number is 400.

Answer:

B

Step-by-step explanation:

Answer:

The height is 4 Ft.

Step-by-step explanation:

9*4=36

9 ft*4 ft=36 Ft.

Hope this helps

Answer:

B. 0.45

Step-by-step explanation:

Use the cos function in a calculator for the degree measure of 63°.

The value of cos 63° is 0.45.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

To find cos 63°, we can use a calculator or a table of trigonometric functions.

Now,

cos 63° ≈ 0.447

Rounding to the nearest hundredth, we get:

cos 63° ≈ 0.45

Therefore,

The value of cos 63° is 0.45.

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Answer:

O The maximum height of the water balloon occurs at x = 0.  

O The water balloon is in the air for 2 s.  

O The maximum height of the water balloon is 64 ft.

Step-by-step explanation:

Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.

The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.

Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.

The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.

The water balloon follows a path such that it makes half parabola.

From the graph:

At x = 0

Height(h) = 64 feet

Which is the maximum height of the water balloon.

After t = 2 seconds

The water balloon hits the ground

The correct options are:

Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

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Answer:

19

Step-by-step explanation:

9+10 is not 21 it is 19.

If 2 tens make a 20 and 1 number is gone, 20-1=19

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

−

1

3

n

+

7

−

7

=

−

1

−

7

3

n

+

0

=

−

8

3

n

=

−

8

3

n

3

=

−

8

3

3

n

3

=

−

8

3

n

=

−

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

−

7

=

1

−

7

3

n

+

0

=

−

6

3

n

=

−

6

3

n

3

=

−

6

3

3

n

3

=

−

2

n

=

−

2

The solution is:

n

=

−

8

3

and

n

=

−

2

Answer:

Step-by-step explanation:

Determine the number of solutions for each of the equations below. Be sure to

justify your conclusions. *

(z – 8)2 = -1

A. one solution

B. infinitely many solutions

C.no solution

D. x = 9

Given the expression;

(z – 8)^2 = -1

we are to find the nature of the solution;

Take the square root of both sides

(z – 8)^2 = -1

√(z – 8)^2 = √-1

z- 8 = √-1

Note that √-1 will give a complex number i to have;

z = 8 ± i

This therefore shows that the equation has no real solution.

Answer:

2nd

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

2x - 9 = x

2x - x = 9

x = 9

Answer:

The correct answer is 9.

Step-by-step explanation:

2x – 9= x <----- Here is the original problem.

2(9) – 9 = 9 <----- Replace the variables.

18 - 9 = 9 <----- Simplify the multiplication.

9 = 9 <----- This is a true statement.

Therefore, the correct answer is 9.

Hope this helps! :D