Answer:
68 ounces
Step-by-step explanation:
Most drink containers in the United States are usually known as 2 Litres bottle.
Now, let's convert this 2 litres to cubic centimeters.
1 litre is equal to 1000 cm³
So, 2 Litres = 2000 cm³
Since there are 29.6 cm³ per fluid ounce, thus amount of ounces held by the typical cup in america = 2000/29.6 = 67.57 ounces ≈ 68 ounces
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20
Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit
Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
To find which cylinder has the greater volume, we need to find out the volume of each one.
As we all know that the formula used to determine the volume of a cylinder is:
V = The base area*the height
<=> V = π
h (cubic units)
For example, in my attached photo, we will use this formula to find the volume of each one.
The base area = π
= π
= 38.46 square in
The height = 8.5 in
=> the volume of Cylinder A
= The base area*the height
= 38.46*8.5
= 326.91 cubic in
The base area = π
= π
= 22.89 square in
The height = 11 in
=> the volume of Cylinder A
= The base area*the height
= 22.89*11
= 251.79 cubic in
Hence, Cylinder B has the greater volume
To solve this we are going to use the exponential function:

where

is the final amount after

years

is the initial amount

is the decay or grow rate rate in decimal form

is the time in years
Expression A

Since the base (0.95) is less than one, we have a decay rate here.
Now to find the rate

, we are going to use the formula:

*100%

*100%

*100%

5%
We can conclude that expression A decays at a rate of 5% every three months.
Now, to find the initial value of the function, we are going to evaluate the function at






We can conclude that the initial value of expression A is 624.
Expression B

Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:

*100%

*100

*100%

*100%

12%
We can conclude that expression B grows at a rate of 12% every 4 months.
Just like before, to find the initial value of the expression, we are going to evaluate it at






The initial value of expression B is 725.
We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months.
- Expression A has an initial value of 624, while expression B has an initial value of 725.
Answer:
exact form: x=-56/3
mixed number form: -18 2/3
Solve for x by simplifying both sides of the equation, then isolating the variable.