Answer:
Width (length of shorter side) = 3.5 cm.
Step-by-step explanation:
L = 8.5 cm
perimeter, P = 24 cm
2(L+W) = 24
substitute L = 8.5
2(8.5+W) = 24
8.5 + W = 24/2 = 12
W = 12 - 8.5 = 3.5 cm
Answer: the number of shoppers on the first day is 125
Step-by-step explanation:
The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1 + 20/100 = 1.2
n = 4(first 4 days)
S4 = 671
Therefore, the expression for the first 4 days is
671 = (a × 1.2^(4) - 1)/1.2 - 1
671 = (a × 1.2^(4) - 1)/0.2
671 = 1.0736a/0.2
671 = 5.368a
a = 671/5.368
a = 125
Slope=rise/run
yintercept is where the line crosses the y axis
y=mx+B
m=slope
b=yint
intercept at -3
y=mx-3
pick a point
(5,0)
x=5,y=0
0=m(5)-3
add 3
3=5m
divide 5
3/5=m
slope=3/5
y int=-3
The answer would be seven units
The hypotenuse is is 9.98 units
<h3>What is Pythagoras theorem?</h3>
The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Given:
Sides are 6.03 units and 7.96 units
Using Pythagoras theorem,
H²=P²+B²
H²= 7.96²+6.03²
= 63.3616+36.3609
= 99.7225
H=9.98 units.
Hence, the hypotenuse is 9.98 units.
Learn more about Pythagoras theorem here:
brainly.com/question/343682
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