The quotient rule is used to find the derivative of a ratio between two functions. It is used in the case of tan(x) and cot(x) because tan(x) can be written as [tex]\frac{sin(x)}{cos(x)}[/tex] (so f(x) = tan(x) is really f(x) = [tex]\frac{sin(x)}{cos(x)}[/tex]). Similarly, cot(x) can be written as [tex]\frac{cos(x)}{sin(x)}[/tex], so the quotient rule also applies.
Which pairs of figures are similar polygons?
The only pair of similar figures is BDHV and GNEF, the trap-ezoids at the bottom.
_____
Similar figures have both same-size angles and same-ratio sides.
Comparing ADLH to JBEK, we find AH/JK = 18/9 = 2, but LD/EB = 24/16 = 1.5. The side ratios differ (even though the angles are marked as congruent). The figures are not similar. (and the angles cannot be congruent as marked)
Comparing WHAT to SKGE, we find WT/TA = 40/22 ≈ 1.8182, and SE/EG = 16/10 = 1.6. The side ratios are different, so the figures are not similar.
Comparing DEF to ABC, we find the angles are different, so the figures are not similar.
Comparing BDHV to GNEF, we find the corresponding angles are all marked as congruent and the side ratios are all 18/12 = 21/14 = 33/22 = 3/2, the same. These figures are similar.
What is the correct similarity statement for the two triangles below?
A. DEF~HKG
B. EDF~HKG
C. DEF~HGK
D. FED~KGH
Answer:
A. DEF~HKG
Explanation:
As you can see in both of the images these are the segments that exist:
DE=4
EF=3
FD=6
HK=8
KG=6
GH=12
So the similar are HK=DE and EF=KG and FD=GH, so the points should also be in that order, which means that the correc option is: A. DEF~HKG
1. National Fire Protection Association (NFiPA) 704 diamond label system helps firefighters and employees easily recognize the categories of hazardous substances stored on the site.
A) True
B) False
Answer: True
Explanation: i just did it
National Fire Protection Association (NFiPA) 704 diamond label system helps firefighters and employees easily recognize the categories of hazardous substances stored on the site. The statement is true.
What do you understand by NFIPA?A safety standard that outlines how hazardous items are identified for emergency responders is called the Standard System for the Identification of the Hazards of Materials for Emergency Response.
The National Fire Protection Association (NFIPA) 704 helps firefighters and employees easily recognize the categories of hazardous substances stored on the site.
It is published by National Fire Protection Association to supplement the labeling system for emergency respondents and benefit also those working in normal conditions.
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