Answer:
19.5 in²
Step-by-step explanation:
A applicable formula for the area of the smaller triangle is ...
A = (1/2)ab·sin(C) . . . . where a, b are the given sides and C is the angle between them.
The side lengths are 3 in and 13 in, so the area is ...
A = (1/2)(3 in)(13 in)sin(C) = (19.5 in²)sin(C)
The sine function is a maximum at C=90°, at which angle it has the value 1. So, the maximum area is that of a right triangle of sides lengths 3 and 13 inches.
The maximum area is 19.5 in².
Answer:
AB + BC = AC Segment Addition Postulate
(x + 10) + (x + 14) = 22 Substitution
2x + 24 = 22 Simplify (added like terms)
2x = -2 Subtraction Property of Equality
x = -1 Divison Property of Equality
Answer: x = -1
Step-by-step explanation:
please give brainliest
Answer:
C.-85
Step-by-step explanation:
<h3>
Answer: 1227.50 dollars</h3>
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Explanation:
The simple interest formula to use is
A = P*(1+r*t)
where,
A = account value after t years (original deposit + interest)
P = 1000 = amount deposited (principal)
r = 0.0325 = annual interest rate in decimal form
t = 7 = number of years
So,
A = P*(1+r*t)
A = 1000*(1+0.0325*7)
A = 1227.50
Side note: you've earned A-P = 1227.50-1000 = 277.50 dollars in total interest