Given the equation 10r−9y=8, what is the value of r when y=18? r=

Answer:

0

Step-by-step explanation:

-10+ + 10

-10+10

0

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.

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Answer:

No

Step-by-step explanation:

30% is the same as 3/10

3/7 is about the same as 43%  

There is a difference among the percentage so no it's not correct

Yes, the value 30% of 70 is the same as 3/7 of 70.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

To show this mathematically, we can start by calculating 30% of 70:

30% of 70 = (30/100) x 70

= 0.3 x 70

= 21

Now, let's calculate 3/7 of 70:

3/7 of 70 = (3/7) x 70

= 30/100 x 70

= 0.3 x 70

= 21

As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.

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Answer:

y=7miles

Step-by-step explanation:

The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.

We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.

21-14=7miles

Answer:

y=7 mi

Step-by-step explanation:

If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess  that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7

Answer:

Angle A always equal angles T

the first answer

Answer: sry i dont know

Step-by-step explanation:

Answer: 0.7515

Step-by-step explanation:

Binomial probability formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where

n = total number of trials.

p= probability of success in each trial.

x= Number of successes.

Let x be a binomial variable that represents the number of jurors come to just decision.

p= 0.65

n= 10

Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]

Hence, the probability more than half come to a just decision = 0.7515

Answer:

(7, - 2 )

Step-by-step explanation:

Given the 2 equations

x = - 3y + 1 → (1)

- 3x - 3y = - 15 → (2)

Substitute x = - 3y + 1 into (2)

- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side

9y - 3 - 3y = - 15

6y - 3 = - 15 ( add 3 to both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Substitute y = - 2 into (1) for corresponding value of x

x = - 3(- 2) + 1 = 6 + 1 = 7

solution is (7, - 2 )

Answer:

$45

Step-by-step explanation:

17.95÷2 = 8.975

8.975 × 5 = 44.875

Round to $45

Answer:

$45

Step-by-step explanation:

17.95/2 would be 8.975

then 8.975 times 5 would be 44.875

rounding it to the dollar would be about 45 dollars

hope this helps

Answer:

Salma, joe, and alan sent 14, 69, and 23 text messages respectively

Step-by-step explanation:

Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that

s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively

Given salma sent 9 fewer messages than alan

s = a - 9

Joe sent 3 times as many messages as alan

j = 3a

hence

a - 9 + 3a + a = 106

5a - 9 = 106

5a = 106 + 9

5a = 115

Divide both sides by 5

a = 115/5

= 23

s = 23 - 9

= 14

j = 3* 23

= 69

Answer:

did you ever figure out what the answer was it was because  working on this and don't know what to do

Step-by-step explanation:

Answer:

Rational Numbers: √400 | -5/250 | 5.012121212...

Irrational Numbers: √1000 | ^3√30 | 0.01562138411...

Answer:

f(5) = 22

Step-by-step explanation:

When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.

f(x) = 5x - 3

f(5) = 5(5) - 3

5 * 5 = 25

25 - 3 = 22

f(5) = 22

I hope this helps you!

Answer:

segun yo es asi no confies mucho en mi

Step-by-step explanation:

200 kg total de papel

primer grupo= 60kg

segundo= 13kg

tercero= 45.93

cuarto= x

si sumamos el total recolectado por los tres primero grupos

60+13+45.93

esto nos da

118.93

si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado

200-188.93= cuarto grupo

cuarto grupo=81.07kg

[tex] \huge {\tt{Answer:}} [/tex]

A. DE

Option (A) DE side of the triangle DEF is the longest side.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.

The sum of the interior angles of a triangle is equal to 180°.

⇒ [tex]\angle D+\angle E+\angle F=180[/tex]

⇒ [tex]65+42+ \angle F=180[/tex]

⇒ [tex]\angle F=180-107[/tex]

⇒ [tex]\angle F=73[/tex]

The side corresponding to the ∠D is EF,  ∠E is DF,  ∠F is DE

The angle which is greater has the longest side.

⇒ [tex]\angle F > \angle D > \angle E[/tex]

⇒ [tex]DE > EF > DF[/tex]

Thus the side DE has the longest length.

Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.

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b. -10 each time

c. The height of the slide/ the height at the top of the slide

d. 6 seconds. when Kirk is on the ground ( 0 feet off the ground), 6 seconds have past. You can see this in the point (6,0)

Answer:

C) -7/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6

simplify -14/6 to -7/3

Answer: D

Step-by-step explanation:

If 30% failed then (100-30)% passed

That is 70%

let x be the number of students that wrote the exam

(70/100)x=210

x=21000/70

x=300

Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

Answer:

27633883532

2732937293739

839364923274693

93730347395393649364

027402649249364

026393473849337

92739262926382

193

19632963286392

92539253925292

9279253285292

2283792

88248935392

926263925392

7363854276393

233

Answer:

Step-by-step explanation:

(-2 - 2)/(-4 + 2)= -4/-2= 2 is the slope

y - 2 = 2(x + 2)

y - 2 = 2x + 4

y = 2x + 6 is the equation

Answer:

The slope is 2

Step-by-step explanation:

Hope this helps！

Answer:

x = 3

y = 4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

6

Step-by-step explanation:

https://web2.0calc.com/questions/algebra_69756

Theodore get 6 quarters in Prize.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let p the number of pennies, d be the number of dimes, n be the number of nickels and q be number of quarters.

So, the expressions are

p = 3d                

n = d+1              

   = 5(d+1)

d = 10d

and, q = 2d              

           = 25 (2d)                    

and, the total is = $209

                          = 209

Then,

3d + 5(d+ 1)  + 10d  +25 ( 2d) = 209

68d + 5 = 209

d = 3                          

Thus, the number of quarters = 2d = 6 quarters.

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Answer:

sen türksün be ne işin var senin burada

Responder:

Teléfonos móviles :

Universo - -> {todos los teléfonos móviles} - unidad experimental

Población - -> {Samsung, tecno, LG, iPhone, Motorola, Huawei, .....} - -> valores variables de unidades experimentales

Muestra - - -> {Samsung, tecno, iPhone} - selección aleatoria de datos de población

Países europeos :

Universo - -> {todos europeos} - unidad experimental

Población - -> {Inglaterra, Noruega, Turquía, Italia, Francia, Holanda, .....} - -> valores variables de todos los países europeos

Muestra - - -> {España, Alemania, Polonia} - selección aleatoria a partir de datos de población

Explicación paso a paso:

Haciendo distinción entre universo, población y muestra. Univerae y la población se describen como sinónimos en algún texto. Sin embargo, otros textos estadísticos hicieron diferencias sutiles entre ambos; con el universo que se dice que contiene todas las unidades experimentales. ; siendo población el conjunto de valores de la variable. Sin embargo, podemos asumir de manera concluyente que ambos son sinónimos, ya que de ellos se extrae una muestra que es un subconjunto de un conjunto de datos más grande (población).

Answer:

I think it would be 25m + 10b = 400

Answer: 132.67 to the power of 2 (inches)

Step-by-step explanation:

The circumference of a circle is given as 2πr. Therefore, in his case,

2πr = 40.82

2 × 3.142 × r = 40.82

6.284r = 40.82

radius = 40.82/6.284

radius = 6.5 inches

Area will now be:

= πr²

= 3.142 × 6.5²

= 3.142 × 42.25

= 132.75 inches²

Therefore, the closest answer will be 132.67 to the power of 2 (inches).

Answer:

-3x + 9

Step-by-step explanation:

Answer:

x = -⁷/9

Step-by-step explanation:

[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]

Multiply both sides by 3

[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]

[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]

Multiply both sides by 2

[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]

[tex] 2(9x - 8) = 3(9x - 3) [/tex]

[tex] 18x - 16 = 27x - 9 [/tex]

Subtract 27 from each side

18x - 16 - 27x = 27x - 9 - 27x

-9x - 16 = -9

Add 16 to both sides

-9x - 16 + 16 = -9 + 16

-9x = 7

Divide both sides by -9

-9x/-9 = 7/-9

x = -⁷/9

Answer:

5-2x

Step-by-step explanation: