Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x ⇒ tan²x = sec²x - 1
Consider the left side
sec²x × tan²x + sec²x
= sec²x(sec²x - 1) + sec²x ← distribute and simplify
= 
x - sec²x + sec²x
= x = right side ⇒ verified
4ab + 7ax + 8b - 14x
a(4b - 7x) + 2(4b - 7x)
(4b - 7x)(a + 2)
The answer is: (4b - 7x)(a + 2).
The bridge attached is drawn according to given dimensions, and it doesn't look right. Please double check the given dimensions.
Calculations:
Horizontal part of bottom chord below the 70 degree triangle
= 15.1*cos(70) = 5.16 (which is a major prt of the 6.3 units.
Height of vertical pieces DF and EH
= 15.1*sin(70) = 14.19
Note that structurally, DF and EH do not help in reducing stress on the bridge, since they are perpendicular to the bottom chord.
Therefore
angle B = atan(14.19/(6.3-5.16))=85.41 degrees
I believe the whole geometry does not look right, esthetically, and structurally, since the compression members are much longer than the tension members in the middle. (The vertical members carry no force.)
If you can review the input data, or post a new question, I will be glad to help.
Answer
22 WHOLE bicycles
Step by step explanation
If you divide 100.50 by 50 you get how much it cost for each bicycle which is 2.01 and when you divided 45 by 2.01 you get 22 and a bunch of random numbers but you can’t get that part of a bicycle because you are not going to cut a bicycle into pieces so you will be able to buy 22 and you will have some left over money but that doesn’t matter you can get 22 whole bicycle with 45 dollars
From the graph, it is obvious that the trend is decreasing from 100 on day 2, to 1 on day 10. So, the answer could either be A or C. The question would be how fast is it decreasing? To illustrate this, let's find the difference of consecutive data:
100 - 26 = 74
26 - 6 = 20
6 - 2=4
2-1=1
It must not be an additive rate because there is no common difference. Let's illustrate if the trend is in multiplicative rate:
100/26 = 3.85
26/6 = 4.33
6/2 = 3
2/1 = 2
More or less, they have a common divider. Hence, the decreasing rate is in multiplicative rate. The answer is A.
