If the side opposite the 60 degree angle in a 30-60-90 degree is 12 centimetres, then what length of the side opposite the 30 degree angle?​

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

[tex]l_s = 2\ ft\\w_s = 3\ ft[/tex]

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

[tex]l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet[/tex]

The area of larger table will be:

[tex]A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2[/tex]

Hence,

The area of larger table is 24 square feet.

Answer:

need more to answer can you give like units or something

Step-by-step explanation:

Answer:

need more info

Step-by-step explanation:

Answer:

the answer is A. $32.23

Step-by-step explanation:

Answer:

$32.00

Step-by-step explanation:

To find the sales tax always multiply the sales tax to to the cost of you item.

Being your sales tax is 4%  you will Multiply 30.99 x .04 (not just 4)

30.99 x .04 = 1.2396  ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax)  Now add that to your cost of the shoes

$30.99 + $1.24 = $32,23

For future :  if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .

Answer:

I'd say the probability is just 50%

Step-by-step explanation:

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

Answer:

= 8

Step-by-step explanation:

y is 2 then 8y is 8×2=16

z is,8

8y - z is 16-8

=8

Answer: its 62

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer:

1.8

Step-by-step explanation:

This question is incomplete

Complete Question

An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.

How many students does the academy have per​ teacher?Per​ tutor?

How many tutors does the academy need if it has 80 students

Answer:

a) 18 students per teacher

b) 10 students per tutor

c) 8 tutors

Step-by-step explanation:

a) How many students does the academy have per teacher?

5 teachers for every 90 students

Hence,

5 teachers = 90 students

1 teacher = x students

Cross Multiply

5 × x = 1 × 90

5x= 90

x = 90/5

x = 18 students

We have 18 students per teacher

b) How many students Per​ tutor?

3 tutors = 30 students.

1 tutor = x students

3 × x = 30 × 1

x = 30/3

x = 10 students

We have 10 students per tutor

c) How many tutors does the academy need if it has 80 students

3 tutors = 30 students.

30 students = 3 tutors

80 students = x tutors

Cross Multiply

30 × x = 80 × 3

x = 80 × 3/30

x = 8 tutors

The school needs 8 tutors for 80 students.

Answer:

C

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hi

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

Answer:

40

Step-by-step explanation:

The Interior of a triangle adds up to 180. 180 - 90 - 50 = 40

Answer: [tex]2x+y^2[/tex]

Step-by-step explanation:

[tex]x\:+\:x\:+\:y\:\cdot \:y[/tex]

[tex]x+x+yy[/tex]

[tex]2x+yy[/tex]

[tex]2x+y^2[/tex]

Answer:

2(x)+[tex]y^{2}[/tex]

Answer:

100+x=200

Step-by-step explanation:

Answer:

n=7.5°

Step-by-step explanation:

As the two lines are parallel do the equation is

(10n+19)+(12n-4)=180

10n+19+12n-4=180

22n+15=180

22n=180-15

22n=165

n=165/22

n=15/2

n=7.5

n=7.5°

Answer: it’s 11.5

Step-by-step explanation: I got it right

Answer:

La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.

Step-by-step explanation:

En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.

Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.

Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x

Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:

x + 4*x+ 8*x= 104 (Planteamiento algebraico)

Resolviendo (Procedimiento):

13*x=104

[tex]x=\frac{104}{13}[/tex]

x=8

Esto significa que la cantidad de horas que trabajó Hugo son 8.

Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces Eduardo trabajó 32 horas.

Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces Francisco trabajó 64 horas.

Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.

Dado que tres albañiles trabajaron en una construcción, y Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, y entre los tres hermanos trabajaron 104 horas, para determinar cuántas horas trabajó cada uno se debe realizar el siguiente cálculo:

Así, Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.

Aprende más en https://brainly.com/question/22195033

Answer:

-5

Step-by-step explanation:

-7 - (-2)

-7 + 2

Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2  to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.

Hope this helps:)

Answer:  [tex](x,y) \to (x+3, y-5)[/tex]

The x turning into x+3 means she moves 3 seats to the right

The y turning into y-5 means she moves 5 rows down.

Answer:

A =  8.75 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a table is

A = Length x Width

Given: Length=3.5ft and Width=2.5ft

A = 3.5ft x 2.5ft = 8.75 [tex]ft^{2}[/tex]

Answer:

He can make 4 batches of sugar cookies.

Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left

Answer: The maximum distance is 6 km

Step-by-step explanation:Let

d-----> represent the distance in kilometer

we know that

------> inequality that represent the situation

Solve for d

Answer:

7.5+8

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

Sum of the middle two numbers is ''182'' for 4 consecutive even number.

The process of combining or adding two or more numbers is called the Addition.

We have to given that;

Sum of 4 consecutive even numbers = 364

Let 4 consecutive even numbers are,

⇒ (x - 2), x, (x + 2), (x + 4)

So, We can formulate;

⇒ (x - 2) + x + (x + 2) + (x + 4) = 364

Solve for x;

⇒ 4x + 4 = 364

⇒ 4x = 364 - 4

⇒ 4x = 360

⇒ x = 90

Hence, The two middle numbers are,

⇒ (x) = 90

⇒ (x + 2) = 90 + 2

              = 92

So, Sum of two middle numbers = 90 + 92

                                                  = 182

Learn more about the addition visit:

https://brainly.com/question/5454147

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The complete question is this,

The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?

9514 1404 393

Answer:

  39 cm

Step-by-step explanation:

  1521 = 3·3·13·13 = (3·13)² = 39²

The length of the side of the square is 39 cm.

Answer:

She originally had 7 necklaces.

Step-by-step explanation:

She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.

Answer:

i think 28 possibly

Step-by-step explanation:

because she bought 4 new ones so 18-4 =14x2 =28?

i don't know if im right but hopefully this helped

Answer:

P = 2(l + w)

P = 2l + 2w

Answer:

C. 23

Step-by-step explanation:

Answer:

C. 23

Step-by-step explanation:

12 goes into 276, 23 times

Work Shown:

f(x) = 8x + 8

f(5) = 8*5 + 8

f(5) = 40 + 8

f(5) = 48