Answer:
∑ (n = 1 to 5) (2·(-4)^(n - 1))
S5 = 2·((-4)^5 - 1)/((-4) - 1) = 410
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
Answer:
60
m³
Step-by-step explanation:
Use the cone volume formula, V = r²
If the diameter is 12 m, the radius will be 6 m.
Plug in the height and radius into the formula, and solve:
V = r²
V = (6²)
V = (36)
V = 60
So, the volume of the cone is 60 m³
Answer:20 i think please mark brainliest
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Let the smaller room have an area of x^2
Let the larger room have an area of (x + 3)^2
(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.
x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared
2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides
2x^2 + 6x + 9 - 89 = 0 Combine
2x^2 + 6x - 90=0 Divide by 2
x^2 + 3x - 45 = 0 This factors.
(x + 9)(x- 5) = 0
X + 9 gives nothing useful
x - 5 = 0
x = 5
x + 3 = 5+3 = 8
So the answer is A
