Answer:
11 13/15
Step-by-step explanation:
-3 2/3+b = 8 1/5
Add 3 2/3 to each side
-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3
b = 8 1/5 + 3 2/3
We need to get a common denominator of 15
8 1/5 = 8 3/15
3 2/3 = 3 10/15
----------------
11 13/15
Larger PyramidHeight 24 Volume 648
Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27
Slant Height^2 = 4.5^2 + 24^2Slant Height^2 =
<span>
<span>
596.25
</span>
</span>
<span><span>Slant Height^2 = 24.4182308941
</span>
</span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area =
<span>
<span>
520.5281560938
</span>
</span>
<span>Large Pyramid LATERAL Area =<span> 439.5281560938
</span>
</span>
**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters
d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27
Source : http://www.1728.org/volpyrmd.htm
Answer:
C.) Corresponding; B.) m<6 = m<2; and for the last one you probably have to divide so perhaps it might be 30 .
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the following in the question:
Let 
be the proportion of the internet sales and 
be the proportion of the store sale.
Hypothesis:
We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.
Thus, we can design the null and alternative hypothesis as:
Alternate Hypothesis:
The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.
