Today 108 people visited a water park during the first hour that the park was open. This number of people is 40% of the number of people who visited the water park during the first hour yesterday. How many people visited the water park during the first hour yesterday?

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

Answer:

If the length is 4 units greater than W then it is equal to w*4..

Step-by-step explanation:

A=L*W

A=4*w

A=w*4 or A=4w

Answer:

20.9 i think

Step-by-step explanation:

Answer:

10.45

Step-by-step explanation:

h=3.8

b-5.5

5.5 multiply 3.8 =20.9

this is a triangle so divide 20.9 by 2

=10.45

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles                    

First, we need to find b:    

[tex] a^{2} + b^{2} = h^{2} [/tex]   (1)    

[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]

[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:  

[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]  

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

Answer:

Exact form: 925/48

Decimal form: 19.27083

Mixed number form: ↓↓↓↓

[tex]19 \times \frac{13}{48} [/tex]

Step-by-step explanation:

hope that helps :) have a good day!

Add the half circle to the rectangle and subtract the triangle.

Area of half circle = 1/2 x pi x 8.5^2 = 113.4325

Area of rectangle = 11 x 17 = 187

Area of triangle: 1/2 x 3 x 17 = 25.5

Total area: 113.4325 + 187 - 25.5 = 274.9325 square m

Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69

Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m

Answer:

3rd answer

Step-by-step explanation:

Answer:

whats chars?

Step-by-step explanation:

Answer:

37

-----

56

Step-by-step explanation:

9514 1404 393

Answer:

  113.57 square units

Step-by-step explanation:

The area of each of the 6 triangular faces is ...

  A = 1/2bh

  A = (1/2)(4)(6) = 12 . . . . square units

The area of the base is ...

  A = (3√3)/2·s² . . . . . . for side length s

  A = (3√3)/2×4² = 24√3 . . . . square units

Then the total area is ...

  total area = base area + face area

  = 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units

Answer:

d. 122 units^2

Step-by-step explanation:

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

Answer:

y^3 + 7 - 15

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Answer:

Every class period is 43 minutes long.

Equation:

(m - 10) ÷ 4

Answer:

You didn't add any images maybe it was a mistake?

Step-by-step explanation:

Answer:

The remainder is -64

Step-by-step explanation:

Given

[tex]7x^2 - x^3[/tex]

Divided by [tex]x - 8[/tex]

Required

Determine the remainder

Equate [tex]x - 8[/tex] to 0

[tex]x - 8 = 0[/tex]

Solve for x

[tex]x = 8[/tex]

Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]

So, we have:

[tex]7 * 8^2 - 8^3[/tex]

Evaluate all exponents

[tex]7 * 64 - 512[/tex]

[tex]448 - 512[/tex]

[tex]-64[/tex]

Answer:

x = 150°

Step-by-step explanation:

From the picture attached,

Segment AC and segment BC are the tangents to circle O.

By the property of angle between tangent and the radius of a circle,

"Angle between the radius and tangent drawn to the circle is 90°"

m(∠OAC) = m(∠OBC) = 90°

Sum of opposite angles of the quadrilateral OBCA is 180°,

m(∠OAC) + m(∠OBC) = 180°

Therefore, quadrilateral OBCA is a cyclic quadrilateral.

By the same property of cyclic quadrilateral,

m(∠AOB) + m(∠ACB) = 180°

x° + 30° = 180°

x = 180 - 30

x = 150°

Answer:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Step-by-step explanation:

Given

[tex]W= Width\\ L = Length[/tex]

[tex]Area = 150[/tex]

[tex]W=2*L- 5[/tex]

Required

Determine the dimension

Area is calculated as:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W = 150[/tex]

Substitute: [tex]W=2*L- 5[/tex]

[tex]L * (2*L-5) = 150[/tex]

[tex]L * (2L-5) = 150[/tex]

Open bracket

[tex]2L^2 - 5L = 150[/tex]

Rewrite as:

[tex]2L^2 - 5L - 150=0[/tex]

Expand

[tex]2L^2 -20L + 15L - 150 = 0[/tex]

Factorize:

[tex]2L(L -10) + 15(L - 10) = 0[/tex]

[tex](2L + 15) (L - 10) = 0[/tex]

Split

[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]

Solve for L

[tex]2L =-15[/tex] or [tex]L = 10[/tex]

L cannot be negative

So:

[tex]L = 10[/tex]

Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]

[tex]W = 2 * 10 - 5[/tex]

[tex]W = 20 - 5[/tex]

[tex]W = 15[/tex]

Hence:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Answer:

6t=9? let me know if that's correct x

Step-by-step explanation:

Answer:

512 units.

Step-by-step explanation:

V = S x S x S

V = 8 x 8 x 8

V = 512

So your answer is 512 units! Please mark brainliest if I got it right :)

Answer:

The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".

Step-by-step explanation:

Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex].   This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches  between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex]  In the i-th to J-th hour, the Wrestler played only 24 match-ups.

Answer:

45

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.

angle 2 and angle 6 need to be congruent

Answer:

3

Step-by-step explanation:

15x+6=10x+21

5x=15

x=3

Answer: x=3

Step-by-step explanation:

[tex]15x+6=10x+21\\5x+6=21\\5x=15\\x=3[/tex]

9514 1404 393

Answer:

  x² +15x +56

Step-by-step explanation:

We presume these are dimensions of a rectangle, so the area is their product.

  A = (x +8)(x +7) = x(x +7) +8(x +7) = x² +7x +8x +56

  A = x² +15x +56

The coefficients in the balanced reaction

4 Fe + 3 O₂   →   2 Fe₂O₃

represent the ratio of moles of each reactant to each product. That is, for every 4 moles of Fe and 3 moles of O₂, 2 moles of Fe₂O₃ are produced.

First convert the given amount of Fe into moles. Fe has a molar mass of 55.845 g/mol, so you have

42.7 g × (1/55.845 mol/g) = 0.765 mol

of Fe.

Find how many moles of Fe₂O₃ are produced given this much Fe and an abundant supply of O₂. Multiply the coefficients of the balanced reaction by 0.765/4 :

0.765 Fe + 0.573 O₂   →   0.382 Fe₂O₃

Now convert the amount of Fe₂O₃ to grams. O has a molar mass of 15.999 g/mol, so Fe₂O₃ has a total molar mass of about

2 (55.845 g/mol) + 3 (15.999 g/mol) = 159.687 g/mol

Then the reaction would produce about

0.382 mol × (158.687 g/mol) ≈ 61.0 g

of Fe₂O₃.