Answer:
i
Step-by-step explanation:
The pattern is as follows
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
Following this pattern, i^45 = i.
Answer: 60 lbs?
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
<h2>
Vs = 4/3 Vc</h2>
Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
Answer:
30.11 meters ( approx )
Step-by-step explanation:
Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )
Given,
Point A is 8.20 m above level ground,
So, the height of the building = ( x + 8.20 ) meters,
Now, 1 degree = 60 minutes,
⇒ 


By the below diagram,




Now, again by the below diagram,



Hence, the height of the building = x + 8.20 = 30.11 meters (approx)
Answer:
15 Square Inches
Step-by-step explanation:
Volume of the cone=40 cubic inches
Height of the cone=8 Inches
<u>Step 1:</u> Applying the formula for the volume of a cone
Volume of a Cone
<u>Step 2:</u> Substituting values for the variables

<u>Step 3:</u> Simplifying the right side

<u>Step 4:</u> Multiplying by the reciprocal

<u>Therefore, Base Area of the Cone=15 Square Inches</u>
<u />