Answer:
B
Step-by-step explanation:
<em>Let be the radius of one sphere.</em>
Since radius is r, the height of the cylinder will be
Also, the cylinder has the same radius as the sphere:
Plugging in the values we get:
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:
The ratio is 1:3
Answer choice B is right.
Answer:
<h2>y = 1</h2>Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.
Substitute:
<em>add 1 to both sides</em>
Other method.
If the slope is equal 0, then it's a horizontal line.
The equation of a horizontal line: <em>y = a</em>.
We have the point on a line (3, 1) → x = 3, y = 1.
Therefore the equation is <em>y = 1</em>.
Answer: The sensor will read 300 liters after 5 minutes.
The sensor sensor should have read 120 liters at time -7 minutes.
Step-by-step explanation:
Given: The amount of water detected by sensor initially= 225 litres
Since, the hose fills the aquarium at a constant rate of 15 liters per minute.
Let x be the time , and y be reading of sensor then
Therefore, the sensor reads after 5 minutes (put x=5 in the equation)=
To find the sensor read at time -7 minutes put x=-7 in the equation, we get
Hence, the sensor should have read 120 liters at time -7 minutes.
Answer:
x = 21
Step-by-step explanation:
Although the picture is a bit blurry towards the bottom, I believe the opposite exterior angle is 129°
Opposite exterior angles are equivalent by the opposite exterior angles postulate. Of course, this only applies if the transversed lines are parallel, which they are in this case, because of the small orange arrows.
Anyhow, the equation should be set up as follows:
<em>Have a nice day, fam. Spread The Love.</em>