9514 1404 393
Answer:
(a) 15/17
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the cosine relation:
Cos = Adjacent/Hypotenuse
cos(P) = PQ/PR
cos(P) = 15/17
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
Answer:
4/a
Step-by-step explanation:
10. Your multiplying the 4 to the "x" which makes 4x then you multiple the 4 to the 3 and get 12. So the answer would be 4x+12. Basically the 4 is the property and your distributing the parentheses. a property is any characteristic that applies to a given set.
Answer:
B) less than 14 centimeters
Step-by-step explanation:
Given:
Length of 1 segment of triangle = 6 cm
Length of the 2 segment of the triangle = 8 cm
Angle between those 2 segments = 80°
We need to find the length of the 3 segment of the triangle.
Solution:
Now we know that;
By Triangle Inequality theorem which states that;
"The sum of the two side of the triangle must be greater than the third side of the triangle."
i.e The length of the third side should be lest than the sum of the other two sides.
Length of the third side
Length of the third side
Hence The length of the third side should be less than 14 cm.