Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
D is the answer as the equation, if it was a graph, is moving towards the left side of the graph at -6.
First you have to make them to a common denominator.
5/6 7/12 7/10
50/60 35/60 42/60
from these the greatest value is 35/60 because 35 parts of 60 is bigger than the rest.
so the answer is 7/12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinx =
=
, then
x =
(
) ≈ 36.9° ( to 1 dec. place )
Answer:
Here is the complete question (attachment).
The function which represent the given points are 
Step-by-step explanation:
We know that a general exponential function is like,
We can find the answer by hit and trial method by plugging the values of
coordinates.
Here we are going to solve this with the above general formula.
So as the points are
then for 
Can be arranged in terms of the general equation.
...equation(1) and
...equation(2)

Plugging the values in equation 2.
We have
![\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bb%7D%20b%5E4%3D128%2C16%5Ctimes%20b%5E3%3D128%2Cb%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%7D%7B16%7D%7D%20%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Plugging
in equation 1.
We have 
Comparing with the general equation of exponential
and 
So the function which depicts the above points =
From theoption we have B as the correct answer.