Answer:
1109
Step-by-step explanation:
an = d (n - 1) + c
an = what you're looking for
n = term position
d = the common difference, in your case, 16
c = first term of the sequence, or -27
a₇₂ = 16(72 - 1) + -27 = 1109
Answer:2/11
Step-by-step explanation:
A fraction is in simplest form when the top and bottom cannot be any smaller
Firstly start by getting the common factors between 1 and 4 in 1/4 and 11 and 8 in 11/8. The common factor is 1 in 1/4 and 1 in 11/8. 1÷1/4÷1= 1/4. 11÷1/8÷1 = 11/8.
1/4÷ 11/8 =2/11.
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
Answer:
3x + 5 - (2x + 2)
3x + 5 -2x-2
x+3
Step-by-step explanation:
M=-3.5+2t, R=-3t when they meet M=R so
-3.5+2t=-3t
-3.5+5t=0
5t=3.5
t=0.7 hrs (42 minutes)
