Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.
Option a. 3.2 inches
Solution
PR=3.7 inches; CR=5.6 inches; AC=4.9 inches
As the two triangles QRP and ARC are similar, their sides must be proportionals, then:
PQ/AC=PR/CR=QR/AR
Replacing the given values in the proportion above:
PQ/(4.9 inches)=(3.7 inches)/(5.6 inches)=QR/AR
PQ/(4.9 inches)=3.7/5.6
Solving for PQ: Multiplying both sides of the equation by 4.9 inches:
(4.9 inches)[PQ/(4.9 inches)]=(4.9 inches)(3.7/5.6)
PQ=(4.9)(3.7)/5.6 inches
PQ=18.13/5.6 inches
PQ=3.2375 inches
Rounding to one decimal place:
PQ=3.2 inches
Answer:
8.) Rational
10.) Irrational
Step-by-step explanation:
8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.
10.) This is irrational because it is a repeating decimal with seemingly no pattern.
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Step-by-step explanation:
- N% of 40=10
N/100×40=10
N=10×100/40=25
2.
60%of homework=45min
1%of homework=45/60=3/4min
100%of homework =3/4 ×100=75 min
General term of a geometric sequence is
a(n)=a(1)×r^(n-1)
a1=5
a2=5×6=30
a3=5×6²=180
a4=5×6³=1080
