Solve √x+6+4=7 I need help solving this!

Kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per

trapecia [35]

Answer:

(a) 3118=61*t

(b) The amount of time the roller coaster is in motion is 51.11 seconds.

Step-by-step explanation:

Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

$speed=\frac{distance}{time}$

Then the distance traveled can be expressed as:

distance=speed*time

(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:

3118=61*x

(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

$\frac{3118}{61} =\frac{61*x}{61}$

51.11 seconds=x

The amount of time the roller coaster is in motion is 51.11 seconds.

5 0

3 years ago

The base of a triangle exceeds the height by 7 feet. if the area is 114 square feet, find the length of the base and the height

Anon25 [30]

Let h represent the height. Then the base is h+6 (all measurements are in feet).

The formula for the area of a triangle is A = (base)(height)/2.

Here A = 114 ft^2 = (base)(height)/2. Substituting the (h+6) and h,

A = [114 ft^2] = [(h+6)(h)]/2 , or [h^2 + 6h]/2, or 2A = 228 = (h+6)h. Multiply out the right side

Solve 228 = h^2 + 6h for h:

h^2 + 6h - 228 = 0

Applying the Quadratic Formula,
-6 plus or minus sqrt(36-4(1)(-228))
h = -------------------------------------------------
2
-6 plus or minus sqrt(948) -6 plus or minus 30.79
or h = ------------------------------------- = ------------------------------------ 2 2
-6 plus or minus 30.79
h = ----------------------------------
2

We want only the positive result. That comes to h = 30.79-6
----------
2

or 24.79/2, or h = 12. 40

h represents the altitude of the triangle, so h+7 represents the length of the base. These values are 12.40 feet and 19.40 feet respectively.

Substitute b=19.40 feet and h=12.40 feet into the formula A = bh/2.
Is the result 114 sq. ft. ?

4 0

4 years ago

En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grand

Korvikt [17]

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

$\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}$ (1)

Donde:

$F_{1}$ - Fuerza experimentada por el elefante, medida en newtons.

$F_{2}$ - Fuerza aplicada sobre el plato pequeño, medida en newtons.

$A_{1}$ - Área del plato grande, medida en metros cuadrados.

$A_{2}$ - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

$F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}$

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

$F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g$ (2)

Donde:

$D_{1}$ - Diámetro del plato grande, medido en centímetros.

$D_{2}$ - Diámetro del plato pequeño, medido en centímetros.

$m$ - Masa del elefante, medida en kilogramos.

$g$ - Aceleración gravitacional, medida en metros por segundo cuadrado.

Si sabemos que $D_{1} = 0.75\,m$ , $D_{2} = 0.13\,m$ , $m = 2900\,kg$ y $g = 9.807\,\frac{m}{s^{2}}$ , entonces la fuerza a aplicar al émbolo pequeño es: