Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
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This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

Answer:

b = 3.6

Step-by-step explanation:

Answer:

quotient = 1809

remainder = 2

Step-by-step explanation:

Let me know if i'm right

Answer:

The square root of 2 over 2

Step-by-step explanation:

Step-by-step explanation:

to find the equation of a line having the slope use this formula:

[tex]y - yp = m(x - xp)[/tex]

in which:

- yp is the y of the point (so 4);

- m is the slope (so 5);

- xp is the x of the point (so -1)

so:

[tex]y - 4 = 5(x - ( - 1))[/tex]

[tex]y - 4 = 5x + 5[/tex]

[tex]y=5x + 5 + 4[/tex]

[tex]y = 5x + 9[/tex]

Answer:

224.25

Step-by-step explanation:

13x15x1.15

Answer:

x - 2, remainder -4

or

x - 2 + (-4)/(x + 6)

Step-by-step explanation:

                           x - 2

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

           x + 6   |  x^2 + 4x - 16

                 -       x^2 + 6x

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

                                -2x - 16

                         -      -2x - 12

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

                                          -4

Answer:

x - 2, remainder -4

or

x - 2 - 4/(x + 6)

Answer:

x - 2

Step-by-step explanation:

I uploaded a photo!

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)

Answer:

number of non students=140, students=280

Step-by-step explanation:

let non students be x.

so according to condition, non students=x*9

students=2x*7

now,

2x*7+x*9=3220

so, x=140

Answer:

82 large pillows, 68 small pillows

Step-by-step explanation:

Suppose all pillows sold were small pillows:

150×$6.50=$975

$1180-$975=$205

$9-$6.50=$2.50

$205÷$2.50=82 (no of large pillows sold)

No. of small pillows sold

=150-82

=68

Answer:

A. 16 March

Step-by-step explanation:

1) f`(x)=-0.028x+0.448;

2) f`(x)=0, then -0.028x+0.448=0, then

3) x=16 is {max}.

4) answer March 16th.

hope it helps...................

[tex] \frac{4}{8} \times \frac{4}{5} [/tex]

Simplify:

[tex] \frac{4}{2} \times \frac{1}{5} [/tex]

[tex] \frac{4}{10} = \frac{2}{5} [/tex]

Answer:

$4.24

Step-by-step explanation:

100%-15%=85%

85/100x4.99=4.2415

4.2415 rounded off to nearest cent =4.24

Hope this helps! Thanks.

The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)

In essence, we can represent the information as;

To find the slope of the equation; we have;

In essence, the equation in point-slope form to represent the time y it took to download x songs is;

Read more:

https://brainly.com/question/6497976

Step-by-step explanation:

dcfhhjjvcdddfhjkhfsazgjhsswrup07532490ojdhj

Answer:

y=6 and x=9

Step-by-step explanation:

Ur dad left you IMAO go look for your dad

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = [tex]\sqrt{89}[/tex]

h = ~9.43...

h = 9

Answer:

hii

Step-by-step explanation:

plzz see attachment

hope it helps u

plz mark as brainliest

Answer:

Step-by-step explanation:

Answer: -45j -9k

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] - 9 \: \: . \: \: (5j + k) \\ - 9(5j) -9(k) \\ - 45j - 9k \\ [/tex]

Answer:

The answer should be C!

Step-by-step explanation:

When you multiply the y value 0.04 and 5 it comes out as 0.02.

Answer:

35

Step-by-step explanation:

1-9(4)

1-36

Queremos maximizar el precio de tal forma que los ingresos no disminuyan.

Ese maximo precio es: $14,040.6

Sabemos que actualmente el precio es:

p = $6,000

El número de clientes es:

C = 120

Actualmente los ingresos son el producto de esos dos números, es decir:

ingresos = $6,000*120 = $720,000

Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.

Entonces podemos escribir el número de clientes como una ecuación lineal.

C(p) = a*p + b

tal que tenemos dos puntos en esa linea:

($6,000, 120)

($6,700, 110)

La pendiente es:

[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]

Entonces tenemos:

C(p) = (-10/$700)*p + b

Sabemos que:

C($6,000) = 120 = (-10/$700)*$6,000 + b

                     120 = -85.71 + b

                     120 + 85.71 = b =

Entonces la ecuación lineal es:

C(p) = (-10/$700)*p + 205.71

Los ingresos serán dados por:

ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p

Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:

(-10/$700)*p^2 + 205.71*p = $720,000

Entonces debemos resolver la ecuación cuadratica:

(-10/$700)*p^2 + 205.71*p - $720,000 = 0.

Las soluciones son dadas por la formula de Bhaskara.

[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]

La solución de maximo valor es:

p = (-205.71 - 195.45)/(-20/$700) = $14,040.6

Sí quieres aprender más, puedes leer.

https://brainly.com/question/8926135

Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021

Answer:

C

A

C

Step-by-step explanation:

Answer:

1)[tex]4.51[/tex]×[tex]10^-3[/tex]

2) .00632

Step-by-step explanation:

1.Which of the following is equivalent to 0.00451?

= [tex]\frac{451}{100000}[/tex]

=[tex]\frac{4.51}{1000}[/tex]

=[tex]\frac{4.51}{10^3}[/tex]

= [tex]4.51[/tex]×[tex]10^-3[/tex]

Therefore the answer is (a)

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

Which of the following is equivalent to 6.32 x 10-*3?

In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.

The exponent is negative so you move to the left:

[tex]6.32=.00632[/tex]

=[tex].00632[/tex]

Therefore 6.32*10^-3 is equivalent too (c) .00632

Answer

The answer is C

Explanation:

1.2 divided by 4 = 0.3

2.4 divided by 8 = 0.3

3.9 divided by 13 = 0.3

**hope this helps.... brainly please if possible

Answer: A  F D G

Step-by-step explanation: