Answer:
First pic
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A rectangular prism has these dimensions. The area of the base of the prism is 360 square centimeters The height of the prism is
1 answer:
The volume of rectangular prism is 6840 cubic centimeters.
Step-by-step explanation:
Given,
Area of base of rectangular prism= l*w = 360 cubic centimeters
Height of rectangular prism = h = 19 centimeters
Volume of rectangular prism = Length * Width * Height
Volume of rectangular prism = l*w*h
Volume of rectangular prism =
The volume of rectangular prism is 6840 cubic centimeters.
Keywords: prism, rectangle
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The sum expressed in sigma notation is .
Solution:
Given series is 22 + 27 + 32 + 37 + 42 + 47.
Write it in the sequence form 22, 27, 32, 37, 42, 47.
First term of the sequence = 22
Common difference = 27 – 22 = 5
This is arithmetic sequence.
term of the arithmetic sequence is
In the given series number of terms is 6.
So n = 1 to 6.
Write n = 1 in the lower of the sigma and 6 in the top of the sigma.
The sum expressed in sigma notation is .
Answer:
<em>The point lies barely outside of the circle</em>
Step-by-step explanation:
<u>Equation of a Circle</u>
Given its center (h,k) and radius r, the equation of a circle is given by
The circle given in the question is centered at (7,8) and has a radius of 6, thus its equation is
To find out if a point (a,b) is outside or inside the circle area, the following conditions apply.
if then the point lies outside of the circle area
if then the point lies inside of the circle area
Let's use the point as given (6,2)
Thus the point lies barely outside of the circle