Perimetrul unui teren de sport este de 224m. Alfa lungimea si latimea terenului, daca latimea este cu 8m mai mare decat 1/3 din lungime

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:

[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:

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.

Hi there!

[tex]\large\boxed{x = 2.5}[/tex]

We can solve for x by using an elimination of variables.

2x + 5y = 20

-2x + 10y = 25

Add the two equations to eliminate x:

0x + 15y = 45

15y = 45

y = 3

Substitute this value of y into an equation to solve for x:

2x + 5(3) = 20

2x + 15 = 20

2x = 5

x = 2.5

Answer:

I believe it is (5/2,3)

Step-by-step explanation:

Hope this works for u :)

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

Hope You Got It!

PLEASE MARK ME AS THE BRAINLIEST

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:

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:

16

Step-by-step explanation:

8 =10%

8x2=16

16 is 20%

32=40%

8x4=32

32-16

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:

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:

the other leg = 2 root 14, which is roughly 7.48331 cm

Step-by-step explanation:

9squared = 5squared + x

81-25=xsquared

squareroot 56 = 2 root 14

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:

The correct answer is 70

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:

(- 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].

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:

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:

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:

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:

[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:

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:

[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:

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:

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: 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:

friend me on here and imma send you the link Step-by-step explanation: