The distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.
<u><em>Explanation</em></u>
According to the diagram, length of the ramp is, 
inches. The top of the seat cushion is 28 inches above the floor. That means, 
inches
We need to find the distance from the base of the ramp to the base of the sofa which is 
In right angle triangle 
, using Pythagorean theorem...
So, the distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.
Since they are similar you need to start by making ratios for each pentagon.
1.8/2.4 is the first and x/3.6 is the second. Now set them equal to each other and cross multiply.
1.8 X
___ = ____
2.4 3.6
2.4x= 6.48 Now divide both sides by 2.4
2.4x= 6.48
___ ____
2.4 2.4
X= 2.7
Answer:
Expected number of guests is 100.4.
Step-by-step explanation:
It is given that there are 161 guest if there is a heavy snow fall.
Also, the probability for a heavy snow fall is 0.40.
Therefore, P(X = 161) =0.4.
It is also given that there are 60 guests if there is a light snow fall.
The probability for a light snow fall is 1 - 0.4 = 0.6.
Therefore, P(X = 60) = 0.6.
Expected number of guests = (161)P(X = 161) + (60)P(X = 60)
= 161(0.4) + 60(0.6)
= 64.4 + 36
= 100.4
Answer:
Choice D
Step-by-step explanation:
The Cavalieri's principle states that if two or more solids have identical cross-sectional area as well as height, then the solids will have equal volume.
Therefore, the volumes of the cylinders are the same
Answer:
2
Step-by-step explanation:
The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.
A quadratic is of degree 2 and has 2 roots.
