in 25 mintues, 300 customers entered the attraction. at this rate, how many customers would enter the attraction in 1 hour

Answer:L=11.3

W=1.3

Step-by-step explanation:

[tex] \\ [/tex]

[tex] \\ [/tex]

So to find actual length and width of rectangle, we need to find value of x.

[tex] \\ [/tex]

we know:-

[tex] \bigstar \boxed{ \rm Area~of \: rectangle = length \times width}[/tex]

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \hookrightarrow \sf Area~of \: rectangle = length \times width \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=(x + 5)(x - 5) \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x (x - 5) +5(x - 5)\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - 5x +5(x - 5)\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - 5x +5x - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - \cancel {5x} +\cancel {5x} - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 -0 - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15 + 25=x^2 \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15 + 25=x^2 \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 40=x^2 \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x^2 = 40\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \sqrt{40}\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \sqrt{2 \times 2 \times 10}\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = 2 \sqrt{10}\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = 2 \times 3.16\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = 2 \times 3.16\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \bf x = 6.32(approx)\\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

I think this is the answer

Answer:

11. x = 32.6°

12. x = 27.0

Step-by-step explanation:

Question 11

[tex]\sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}[/tex]

Given:

[tex]\implies \sin(x)=\dfrac{7}{13}[/tex]

[tex]\implies x=\sin^{-1}\left(\dfrac{7}{13}\right)[/tex]

[tex]\implies x=32.6\textdegree \textsf{ (nearest tenth)}[/tex]

Question 12

[tex]\sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}[/tex]

Given:

[tex]\implies \sin(64\textdegree)=\dfrac{x}{30}[/tex]

[tex]\implies x=30\sin(64\textdegree)[/tex]

[tex]\implies x=27.0\textsf{ (nearest tenth)}[/tex]

Answer: x < -3.5

Step-by-step explanation:

Subtract 3 from both sides and we get

-4x > 14

We divide -4 on both sides, but be careful because we have to flip the sign since it's a negative number.

x < -3.5

Answer:

no

Step-by-step explanation:

3x−2+x+8=−9x−7

4x+6=−9x−7

4x+6+9x=−7

13x+6=−7

13x=−13

x=−1

Answer:

x=135.8291448

Step-by-step explanation:

Answer:

Step-by-step explanation:

You got it right: the point (0, -1) is another point on the graph of y = 3x - 1.

Substituting 0 and -1 back into the equation, y = 3x - 1:

-1 = 3(0) - 1

So the pint is also a solution to the equation.

Answer:

385,000

Step-by-step explanation:

Answer:

She will have 7 extra bags.

Step-by-step explanation:

[13(7+6)]/9

(13 * 13)/9

169/9

18.8

9 * 18 = 162

169 - 162 = 7

She will have 7 extra bags.

Answer:

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

I hope it helps sorry kung mali

Answer:

18

Step-by-step explanation:

substitute x = 3 into the expression

6x = 6(3) = 6 × 3 = 18

Answer:

Step-by-step explanation:

in similar triangles

[tex]\frac{a}{c+d} =\frac{c}{a} =\frac{e}{d} \\[/tex]

taking first two

c(c+d)=a²

Answer:

14

sorry if i need any.

Step-by-step explanation:

9-8=1 + 13 = 14

Answer:

I'm going to put the most shells possible on the necklaces this would be 38, 38x5=190, meaning that we have a remainder of 2.

2 shells would be on the magnet

Answer:

4/7

Step-by-step explanation:

The conditional probability of A and B happening : P(AnB) is 1/6, and the conditional probability of B happening : P(B) is 7/24, the probability of A happening is 1/6 : 7/24 = 4/7

P(A/B) = Given that B occurs, find the probability of A occuring

Answer:

Step-by-step explanation:

A. 3x+21=6x-60 -> 3x=81 -> x=27. So false. The value of x=27.

B. True. Alternate interior angles theorem.

C. False. The marked angles are alternate interior angles.

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

please mark brainliest

Answer:

1. not congruent

2. sss congruent

3.not congruent

5.asa

6.sas

Triangular prism: 2 bases and 5 faces

Pentagonal prism: 2 bases and 7 faces

Answer:

I hope this is right

Step-by-step explanation:

A triangular prism has two triangular bases and five faces.

A pentagonal prism has two pentagonal bases and seven faces.

I really hope this is right :)

Answer: x = 6

Step-by-step explanation:

The midsegment is half of the side it's parallel to.

Therefore 2*(3x-1) = 34

3x-1 = 17

3x = 18

x = 6

Answer:

$70.5

Step-by-step explanation:

Given that,

Total sales=90*3+60*4= 470

So,

Commission 15%

470*.15=$70.50 Ans

Answer:

h = 1200 - 34t

Step-by-step explanation:

25 minutes, descend 850 feet, so each minute, descend 850/25 = 34 feet

after t minutes, descend 34*t feet,

starting at 1200 feet, so the height is h = 1200 - 34t

The volume of a box is the amount of space in the box

The dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

The dimensions of the box are:

Width = x

Depth = y

So, the volume (V) is:

[tex]V = x^2y[/tex]

The volume is given as 64 cubic inches.

So, we have:

[tex]x^2y = 64[/tex]

Make y the subject

[tex]y = \frac{64}{x^2}[/tex]

The surface area of the box is calculated as:

[tex]A =x^2 + 4xy[/tex]

The cost is:

[tex]C = 2x^2 + 4xy[/tex] --- the base is twice as expensive as the sides

Substitute [tex]y = \frac{64}{x^2}[/tex]

[tex]C = 2x^2 + 4x * \frac{64}{x^2}[/tex]

[tex]C =2x^2 + \frac{256}{x}[/tex]

Differentiate

[tex]C' =4x - \frac{256}{x^2}[/tex]

Set to 0

[tex]4x - \frac{256}{x^2} = 0[/tex]

Multiply through by x^2

[tex]4x^3 - 256= 0[/tex]

Divide through by 4

[tex]x^3 - 64= 0[/tex]

Add 64 to both sides

[tex]x^3 = 64[/tex]

Take the cube roots of both sides

[tex]x = 4[/tex]

Recall that:

[tex]y = \frac{64}{x^2}[/tex]

So, we have:

[tex]y = \frac{64}{4^2}[/tex]

[tex]y = 4[/tex]

Hence, the dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

Read more about volume at:

https://brainly.com/question/1972490

Answer:

9 for 14 is slightly less expensive, but for convenience 3 for 5 is better

Step-by-step explanation:

5/3=1.(6)

14/9=1.(5)

Answer:

54 yds²

Step-by-step explanation:

Area of 1 side: 3*3=9

Number of sides: 6

6*9=54

Answer:

54 square yards

Step-by-step explanation:

This is a cube, as the width, height, and length are all the same. To fine the surface area of a cube, simply find the area of one side and multiply it by six, as a cube has six sides.

[tex]Area = Width*Height\\Area = 3 * 3\\Area = 9[/tex]

The area of one side of the cube is 9 square yards. Therefore, the surface area of the entire cube is 6 x 9 or 54 square yards.

The equation that represents this situation is 560m = 8400

An equation is an expression that shows the relationship between two or more variables and numbers.

Let m represent the number of minutes taken to discharge the water. Hence this can be represented by:

560m = 8400

The equation that represents this situation is 560m = 8400

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

56/100 or 0.56

Step-by-step explanation:

you first need the dinominators to be the same so to figure that at you can do 100 divided by 10 which is 10. so to make the doniomators even you need to multipy the 2/10 by 10. so 2x10=20 and 10x10=100 so that makes the fraction 20/100. now you have 20/100 + 36/100 =? which makes it a lot easier. so now all you do is add ONLY THE NUMERATOR so you do 20+36 which is 56 and you keep the 100 and that 56/100.

To make it into a decimal, this one is easy because the denominater is 100 so you just take 56.0 and move the decimal two place values so its 0.56. :)