Answer:
48 degrees
Step-by-step explanation:
inscribed angle is always equal to the measure of the arc
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Answer: X= 6 or X=-4
Step-by-step explanation:
Answer:
Step-by-step explanation:
surface area of cube = 6×8² = 384 cm²
lateral area of pyramid = surface area of pyramid - base area
= 384 - 8²
= 320 cm²
area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)
slant height = 20 cm
Answer:
x=2
Step by step:
f(x)=g(x)
3x+12= -9.5x-13 simplifies to the equation below
3x+9.5x= -13-12
12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.
12.5x/12 = -25/12
x=-2
to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
