9514 1404 393
Answer:
G 6.231 and 6.233
Step-by-step explanation:
F 6.232 and 6.236 rounds to 6.23, 6.24
G 6.231 and 6.233 rounds to 6.23, 6.23
H 6.229 and 6.239 rounds to 6.23, 6.24
J 6.222 and 6.238 rounds to 6.22, 6.24
_____
One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.
<u>Examples</u>:
6.222 +0.005 = 6.227 ⇒ 6.22
6.238 +0.005 = 6.243 ⇒ 6.24
Answer:
The video is blocked for me
Step-by-step explanation:
Here is the image for future referance. I'm stumped by it to. I know the inner angles, but I can't get S.
Answer:
Eudora ran for 30 minutes and use the jetpack for 1 hour and 30 minutes
Step-by-step explanation:
Lets call x the time she ran and y the time she was using a jetpack (in hours), we have
12x + 76y = 120
Since it took 2 hours we have that x+y = 2, hence y = 2-x. We can replace y in the equation above, obtaining
12x + 76(2-x) = 120
12x+ 152 - 76x = 120
12x-76x = 120-152
-64x = -32
x = -32/-64 = 1/2 (30 minutes)
As a result
y = 1-1/2 = 3/2 (1 hour, 30 minutes)
She ran for 30 minutes and use the jetpack for 1 hour and 30 minutes.
Answer:
π/6 [37^(³/₂) − 1] ≈ 117.3187
Step-by-step explanation:
The surface area is:
S = ∫ 2π (x − 0) √(1 + (dx/dy)²) dy
0 ≤ x ≤ 3, so -4 ≤ y ≤ 5.
Find dx/dy.
y = 5 − x²
x² = 5 − y
x = √(5 − y)
dx/dy = ½ (5 − y)^(-½) (-1)
dx/dy = -½ (5 − y)^(-½)
(dx/dy)² = ¼ (5 − y)^(-1)
(dx/dy)² = 1 / (4 (5 − y))
Plug in:
S = ∫₋₄⁵ 2π x √(1 + 1 / (20 − 4y)) dy
S = ∫₋₄⁵ 2π √(5 − y) √(1 + 1 / (4 (5 − y))) dy
S = ∫₋₄⁵ 2π √((5 − y) + 1/4)) dy
S = ∫₋₄⁵ 2π √(5.25 − y) dy
If u = 5.25 − y, then du = -dy.
S = ∫ 2π √u (-du)
S = -2π ∫ √u du
S = -2π (⅔ u^(³/₂))
S = -4π/3 u^(³/₂)
Substitute back:
S = -4π/3 (5.25 − y)^(³/₂)
Evaluate between y=-4 and y=5.
S = [-4π/3 (5.25 − 5)^(³/₂)] − [-4π/3 (5.25 − -4)^(³/₂)]
S = -4π/3 (0.25)^(³/₂) + 4π/3 (9.25)^(³/₂)
S = π/6 [37^(³/₂) − 1]
S ≈ 117.3187
