A linear pair is a pair of angles that form a line. When added, they will equal 180.
< EFG + < GFH = 180
5n + 20 + 3n + 16 = 180
8n + 36 = 180
8n = 180 - 36
8n = 144
n = 144/8
n = 18
< EFG = 5n + 20.....5(18) + 20 = 110 <==
< GFH = 3n + 16.....3(18) + 16 = 70 <==
Answer:
x = 3
< D = 26
< E = 54
Step-by-step explanation:
I did the math
Answer:
Should be used 28 pounds of pecans and 32 pounds of chocolate candies
Let
x -----> pounds of pecans used
y ----> pounds of chocolate candies used
we know that
-----> equation A
-----> -----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
Using a graphing tool
The solution is the point (28,32)
see the attached figure
therefore
Should be used 28 pounds of pecans and 32 pounds of chocolate candies
It is 838
Step-by-step explanation:
The solution would be like
this for this specific problem:
<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫
0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [
-2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [
2·r² ] dr </span>
<span>=
(2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>
So the volume of the
given solid is 16/3. I am hoping that these answers have satisfied
your query and it will be able to help you in your endeavors, and if you would
like, feel free to ask another question.