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Find the RATIO and the EXACT VALUE of the given Tan A.​

Answer: The equation for the line is “y = 6x - 4”

Step-by-step explanation: To find this answer we will put it in slope-intercept form which is y = mx +b. To first find m which is the slope you subtract the the second y by the first y over the second x by the first x. It looks like this y2 - y1/ x2 - x1. After we find the slope which is 6, to find the y-intercept which is b we just plug a point we used to find the slope into the equation we have. It looks like this y = 6x + b —> 2 = 6(1) + b... I used (1,2). Then you solve for b by multiplying 1 by 6 and then subtracting 6 to both sides to get b by itself. So it goes from 2 = 6(1) + b into -4 = b. Then you just put -4 into b and you get the answer y = 6x - 4.

Have a nice day!

Answer:

k = - 3.6

Step-by-step explanation:

Given x = - 2 is a zero then f(- 2) = 0

Substitute x = - 2 into the polynomial and equate to zero

(- 2)² - 7(- 2) + 5k = 0

4 + 14 + 5k = 0

18 + 5k = 0 ( subtract 18 from both sides )

5k = - 18 ( divide both sides by 5 )

k = - 3.6

Answer:

B

Step-by-step explanation:

If he had $72 total and brought 9 tickets, you will need to divide. 72/9 is equal to 8.  9x=72

x represents 8

Answer:

$8

Step-by-step explanation:

let the ticket cost be x then purchasing 9 tickets gives

9x = 72 ( divide both sides by 9 )

x = 8

Each ticket cost $8

Answer:

Total number of crates John order = 15 crates

Step-by-step explanation:

Given:

Total number of crates John received = 3 crates

Amount of order John received = 20%

Find:

Total number of crates John order

Computation:

Total number of crates John order = Total number of crates John received / Amount of order John received

Total number of crates John order = 3 / 20%

Total number of crates John order = 3 / 0.2

Total number of crates John order = 15 crates

Answer:

3

Step-by-step explanation:

Set it up as

8n = 24

n = 24/8

n = 3

Answer:

n=3

Step-by-step explanation:

24 divided by 8 is equal to n

go back and substitute the answer 3 x 8= 24

that is a fact if it is a fact then it is true and you have your answer.

Answer:

E and F

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex] , then

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = [tex]5^{4+x}[/tex]  → F

or

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = 625 × [tex]5^{x}[/tex] → E

Answer:

D

Step-by-step explanation:

the others are positive

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]sin A = \frac{15}{17}, \ sec A = \frac{17}8[/tex]

Step-by-step explanation:

[tex]15cot A = 8\\\\cotA = \frac{8}{15}\\\\1 + cot^2A = cosec^2 A\\\\1 + (\frac{8}{15})^2 = cosec^2 A\\\\1 + \frac{64}{225} = cosec^2A\\\\\frac{225+64}{225} = cosec^2 A\\\\cosec^2 A = \frac{289}{225}\\\\cosec A = \frac{17}{15}\\\\That \ is, \ \frac{1}{sin A} = \frac{17}{15}\\\\sin A = \frac{15}{17}[/tex]

[tex]cot A = \frac{8}{15}\\\\\frac{cos A}{sinA} = \frac{8}{15}\\\\cos A = \frac{8}{15} \times sin A = \frac{8}{15} \times \frac{15}{17} = \frac{8}{17}\\\\\frac{1}{cosA} = \frac{17}{8}\\\\sec A = \frac{17}{8}[/tex]

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is narrower

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry shifts left

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation opens down

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, shifts up.

Answer:

x = amount of pure acid to be added = 6.67ml

Step-by-step explanation:

George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?

let

x = amount of pure acid to be added

15% of 50 + x = 25% of 50 + x

(0.15 * 50) + x = 0.25(50 + x)

7.5 + x = 12.5 + 0.25x

Collect like terms

x - 0.25x = 12.5 - 7.5

0.75x = 5

x = 5/0.75

x = 6.6666666666666

Approximately,

x = 6.67

x = amount of pure acid to be added = 6.67ml

Answer:

Rs 4640

Step-by-step explanation:

8/100 x 4000 = 320

320 x 2 = 640

4000+ 640 = Rs4640

Feel free to mark it as branliest

Answer:

x=27

Step-by-step explanation:

2x+6 = 60 because equaliteral triangle has 60 degrees per angle, and trangle with sum of all angles = 180 degrees

60=2x+6

54=2x

x=27

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

Answer:

16

Step-by-step explanation:

8 =10%

8x2=16

16 is 20%

32=40%

8x4=32

32-16

Answer:

(-26, 32)

Step-by-step explanation:

Answer:

[tex]h_m=103.125ft[/tex]

Step-by-step explanation:

From the question we are told that:

Focus [tex]F=32ft[/tex]

Width of building [tex]W=200ft[/tex]

Height[tex]h=25[/tex]

Generally the equation for the Parabola is mathematically given by

 [tex]y^2=4ax[/tex]

 [tex]y^2=128x[/tex]

 [tex]y^2=128b^2[/tex]

 [tex]y=\pm8\sqrt{2b}[/tex]

 [tex]b=\frac{25}{2\sqrt{2}}[/tex]

Therefore

 [tex]x=b^2[/tex]

 [tex]b^2=\frac{625}{8}[/tex]

Generally the Generally the equation for momentum is mathematically given by mathematically given by

 [tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]

 [tex]h_m=\frac{825}{8}ft[/tex]

 [tex]h_m=103.125ft[/tex]

Answer:

2 x 3.14 x 3 1/2

(make each a fraction)

2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.

Answer:

Interesting... go on.

Step-by-step explanation:

Answer:

He has 109 tickets left!

Step-by-step explanation:

ok, let's find out how many tickets he bought in total!

he bought: 9 packs with 16 tickets inside each pack

so...

9 x 16 = 144

144 - 35 = 109

Make sure to double check before writing it down!

Answer:

x = 3

Step-by-step explanation:

sum of all angles of a quadrilateral = 360

76 + 104 + 104 + 25x + 1 = 360

25x + 285 = 360

25x = 360 - 285

25x = 75

x = 75/ 25

x = 3

ull get better at math soon:)

Answer:

4

Step-by-step explanation:

The Author - Shakespeare introduces the theme of unrequited love by indicating the refusal of Olivia regarding Duke Orsino's affections.

The play opens with the Duke listening trying to drown his feeling with music. He so openly and unashamedly professes his love for one whose consent he had yet to gauge or decipher.

The bouts of refusal begins with Valentines message declining him from delivering the Dukes message.

Answer:

[tex]a=22,\\b=31,\\c=13[/tex]

Step-by-step explanation:

When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.

Sample solution:

[tex]a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}[/tex]

[tex]16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}[/tex]

[tex]34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}[/tex]

Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52,  7 times 9=63, 52+63=115.  Hope this helps!

Answer:

for finding x

x+133=180(being linear pair)

x=180-133

x=47 degree

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

→ Work out APD

133°

→ Find the sum of APC and DPB

360 - ( 133 + 133 ) = 94

→ Divide the answer by 2

94 ÷ 2 = 47°

Answer:

[tex]A) 22.5cm[/tex]

Step-by-step explanation:

[tex]\frac{AB}{BC} =\frac{FG}{GH}[/tex]

⇒ [tex]\frac{9}{15} =\frac{13.5}{x}[/tex]

⇒ [tex]\frac{9}{15} =\frac{13.5}{x} [cross ~multiply][/tex]

⇒ [tex]9x=202.5[/tex]

⇒[tex]\frac{9x}{9} =\frac{202.5}{9} ~[divide~both ~sides~by ~9][/tex]

⇒ [tex]x=22.5[/tex]

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

hope it helps...

have a great day!!

Answer:

(- 2, 3 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Given

4x² + 4y² + 16x - 24y - 52 = 0 ( divide through by 4 )

x² + y² + 4x - 6y - 13 = 0 ← add 13 to both sides and rearrange terms on left side

x² + 4x + y² - 6y = 13

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 13 + 4 + 9

(x + 2)² + (y - 3)² = 26 ← in standard form

with centre (- 2, 3 )

Answer:

Centre at [tex](-2,3)[/tex].

Step-by-step explanation:

Use the general formula for a circle to answer this question. The general formula is :

[tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex](a,b)[/tex]is the centre of the circle and [tex]r[/tex] is the radius of the circle.

We have to get the equation we've been given into the general form. We can do this by completing the square as follows:

[tex]4x^2+16x+4y^2-24y-52=0[/tex] -Group like terms together.

[tex]x^2+4x+y^2-6y-13=0[/tex] - Divide by common factor of 4.

[tex](x+2)^2+(y-3)^2=26[/tex] - Complete the square and move constant to the other sides.

Now that it's in the general form we can find the centre. Centre at [tex](-2,3)[/tex].