Answer:
a(14)=469762048
Step-by-step explanation:
geometric sequence= a(n)=a*r^(n-1)
we have:
a=7
r=28/7=4
So:
a(14)=7*4^(14-1)
=7*4^(13)
=469762048
hope this helps
Answer:
7.193 ft
Step-by-step explanation:
|\
| \
| \
| \
h | \ 10 ft
| \
| \
| 46° \
---------------------
For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.
sin A = opp/hyp
sin 46° = h/10
h = 10 sin 46°
h = 7.193
Answer: 7.193 ft
Solving the given equation, the value of v that makes the statement true is:
A. v = 8.
<h3>What is the given equation?</h3>
The equation is:

Hence:

Applying cross multiplication:
v - 8 = 0
v = 8.
Hence option A is correct.
More can be learned about equations at brainly.com/question/27882730
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Options:
a. Nikki's proposed placement will light a greater area than Dylan's placement.
b. Dylan's proposed placement will light a greater area than Nikki's placement.
c. Both proposed placements will light the same sized area.
d. Nikki's proposed placement will light more than half the yard.
e. Dylan's proposed placement will light more than half the yard.
f. Dylan's proposed placement will light exactly half of the yard.
g. Nikki's proposed placement will light less than half of the yard.
Answer:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
Step-by-step explanation:
The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft
Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.