Given AABC with coordinates A(-4,-2), B(-1,1) and C (-2,3)

A container holds 4 3/8 gallons of water. A hole in the container causes 7/8 gallon to leak out. How many gallons of water are l

Elina [12.6K]

Answer:the number of gallons of water left is 3.5

Step-by-step explanation:

The initial amount of water in the container is 4 3/8 gallons. Converting 4 3/8 gallons to improper fraction, it becomes 35/8 gallons of water.

A hole in the container causes 7/8 gallon to leak out. The number of gallons of water left in the container would be

Initial amount - amount that leaked. It becomes

35/8 - 7/8 = 28/8 = 3 4/8 = 3.5 gallons of water

8 0

3 years ago

What are the x and y intercept of c = 0.75m + 2.25?

lakkis [162]

The y intercept is 2.25 and x intercept is -3

6 0

3 years ago

Read 2 more answers

Can somebody help me please

Korolek [52]

Answer:

65

Step-by-step explanation:

3 0

2 years ago

What is the GCF of 12 and 7

madam [21]

Answer:

The GCF of 7 and 12 is 1.

8 0

3 years ago

Read 2 more answers

A group of rowdy teenagers near a wind turbine decide to place a pair of

Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is $y = 9 + 7* sin(\pi * t / 15 - \pi / 6)$

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

$x^2 + (y-yc)^2 = R^2$ ,

where

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So, is the trajectory path equation to the circle

Let $x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)$ be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t

At t= 10s, y = 16 m so we have,

$9 + 7 * sin(10* w + \phi) = 16$ ---------------(1)

Also, at t= 25s, y =2 m so we have,

$9 + 7* sin(25 * w +\phi) = 2$ --------------(2)

Solving we have, $10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2$

$15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6$

Therefore $y = 9 + 7* sin(\pi * t / 15 - \pi / 6)$ is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

$y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)$

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0

2 years ago