eliminate the parameter in the equations x=5cos(t) -7 and y=5sin(t)+9. how can the rectangular equation be described?
circle
ellipse
parabola
hyperbola

Answer:

x = 5.7           y = 9.4

m∠H = 31°

Step-by-step explanation:

cos of an angle = adjacent side/hypotenuse

and sine of an angle = opposite side/hypotenuse

cos 59 = x/11          and sin 59 = y/11

11 cos 59 = x                  11 sin 59 = y

x = 5.7                             y = 9.4

m∠H = 90 - 59 = 31°

You need  to memorize the definitions of all the trig functions and then these types of problems will be easy for you.

[tex]x=5.7[/tex], [tex]y=9.4[/tex]  and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below :

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

The sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn)

According to question,

In Δ FGH ,

∠G = 59°

Hypotenuse of triangle = 11

Base of triangle according to the ∠G = x

Perpendicular of triangle according to the ∠G = y

Now,

Cosθ =  [tex]\frac{Base}{Hypotenuse}[/tex]

[tex]Cos[/tex] 59° =  [tex]\frac{x}{11}[/tex]

   [tex]x[/tex] [tex]=11[/tex]× [tex]0.515[/tex]     (  Cos59° = [tex]0.515[/tex] )

     x [tex]=5.7[/tex]

Sinθ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]Sin[/tex] [tex]59[/tex]° [tex]=\frac{y}{11}[/tex]

      [tex]y=11[/tex] * 0.857

       y [tex]=9.4[/tex]

According to the sum of angle of triangle

∠F + ∠G +∠H = 180°

90° + 59° + ∠H = 180°

∠H = 180° - 90 -59

∠H = 31°

Hence,[tex]x=5.7[/tex], [tex]y=9.4[/tex]  and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.

Learn more about trigonometric ratio and sum of angle of triangle here:

https://brainly.com/question/8711345

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Answer:

The triangles are similar

Step-by-step explanation:

Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.

m∠UDT = m∠EDF because vertical angles are congruetnt

Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Answer:

[tex]\frac{-1}{7}[/tex] or 0.14

Step-by-step explanation:

To find slope you can use the formula

mx=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

or

[tex]\frac{rise}{run}[/tex]

Rise over run:

Rise over run is the easiest of the two so we'll be using that one first for this question, but both should give you the same answer

To find rise over run, select the points and see how many points up or down you must got to make it the same level as the other point

In this case, the point (-3,1) would have a run of -1 because you have to move down one

To find run, now that you have rise start from that point and count how far you have to go to get to the next point. You should be going in a straight line.

The run would be 7.

Now you make it a fraction/division problem

[tex]\frac{rise}{run} =\frac{-1}{7}[/tex]

-0.14285714285714285714285714285714 <- decimal value

-0.14

Depending on what it means by reduce, your answer will either be -1/7 or the decimal. Use the reduced decimal value if it's asking for a decimal

I've included a picture in case my explanation was not satisfactory or you need a visual.

Slope form:

Identify the two points

First one will be (-3,1)

Second one would be (4,0)

Now label them

-3 will be x1

1 is y1

4 is x2

0 is y2

You will be using [tex]\frac{y2-y1}{x2-x1}[/tex]

Put the values into the equation

[tex]\frac{0-1}{4--3} =\frac{0-1}{4+3} =\frac{-1}{7}[/tex]

You get the same thing as the previous way.

Same answer

Visuals also included

I hope this helps and don't be afraid to reach out with further questions!

Answer:

1/-2

Step-by-step explanation:

To find the slope:

rise/run

From point to point

So....

From (-1,0)

you go up 2(2)

then left 4(-4)

to get to (-5,2)

so 2/-4 reduced is 1/-2

Answer:

16 cups

Step-by-step explanation:

You have the ratio 4 cups = 28 dinner rolls. 28 * 4 = 112, so you know that if you multiply both sides of that equation by 4 you will get the number of cups of flout to make 28 dinner rolls:

4 cups = 28 dinner rolls

becomes

16 cups = 112 dinner rolls

so the answer is 16 cups

Answer:

16 cups of flour are needed to make 112 dinner rolls.

Step-by-step explanation:

28 divided by 4 is 7 which is the number of rolls for one cups of flour. Divide 112 by 7 and thats the amount of flour needed for 112 dinner rolls. You can also multiply 28 4 times since 4 can go into 16 when multiplied.

Answer:

y=3/5x-2

Step-by-step explanation:

PLLSSS OMGG IM CRYINGG THE LITTLE HATT

Answer:

well sense you got the answer now, ima just take the points.

Step-by-step explanation:

its a 4x4 square with 16 squares

Answer:

24 dollars

Step-by-step explanation:

Answer:

The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole  number.)

Then the line should go left because it says x is less than 2/9. (which is right)

The line segment you should choose is the one with the open circle with an arrow going to the left.

<---O (looks like this lol.)

Answer:

h=9.51

v=3293.89

Step-by-step explanation:

hope it helps :)

Answer:

h = 9.51

v = 3293.89

Step-by-step explanation:

please mark me as brainliest

Answer:

GCF is the largest factor that all terms have in common.

Answer:

x=18

Step-by-step explanation:

When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say

4+x = 2(3x-43)

Solve that out to find that x = 18

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Answer:

($14-$5)=x($3)

x=3 cookies

Step-by-step explanation:

($14-$5)=x($3)

9=3x

9/3=3x/3

x=3 cookies

Answer:

65 ft (which is A)

Step-by-step explanation:

A² + B² = C²

72² + B² = 97²

B² = 4225

B = √4225

B = 65 ft

Answer:

40

Step-by-step explanation:

You need to divide 240 by 6 since there are 6 boxes and 240 pencils. If you do that, you will get 40. Hope it helps :)

Answer:

40

Step-by-step explanation:

240/6=40

Answer:

54 inches

Step-by-step explanation:

6/18=7/x

6x=7(18)

6x=126

x=21

21+15=18=54

Answer:

3 9/16 lbs

Step-by-step explanation:

took quiz

Answer:

Equilateral Triangle

Step-by-step explanation:

Answer:

sin M = NK/MK = m/n

cos K = NK/MK = m/n

=> sin M/cos K = 1

Answer:

Step-by-step explanation:

wanna use P E M D A S, you will take 36-5 and it will be 31. so now the equation is 3(31)=2*6 times 3 and 31 + 93 then it will be 93=2*6, now it will be 93=12  and if i done it correctly youll get a decimal

Answer:

10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Step-by-step explanation:

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.

Solution:

Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.

Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:

5x + 3y = 95       (1)

Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:

8x + 6y = 170         (2)

Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:

2x = 20

x = 10

Substitute x = 10 in equation (1):

5(10) + 3y = 95

50 + 3y = 95

3y = 45

y = 15

Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Answer:

2nd one down

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{5}{8} \times \frac{3}{2} \div \frac{15}{16} \\ \frac{15}{16} \times \frac{16}{15} \\ = 1[/tex]

Answer:

1

Step-by-step explanation:

5/8 x 1 1/2 / 15/16 = 1                        (5/8 / 15/16 = 2/3,   2/3 x 1 1/2 =1 )