Answer:
<h3>
It's about 365 cm²</h3>
Step-by-step explanation:
2×πr² + 2πr×h =
= 2×π×4² + 2π×4×10.5 =
= 32π + 84π =
= 116π ≈
≈ 364.42 cm²
Answer: 11 muffins
Step-by-step explanation:
Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:
= 1/4 + 2/3
= 3/12 + 8/12
= 11/12
Ww are then told that she uses 1/12 cup of the mixture to top each muffin. Therefore, the number of muffins that she can top will be:
= 11/12 ÷ 1/12
= 11/12 × 12/1
= 12
She can top 11 muffins.
Answer:
560 students
Step-by-step explanation:
700 x 0.8 = 560
Answer:
h=3.9x+15.85 meters
Step-by-step explanation:
Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof
Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna
Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be
h=3.9x + 15.85 meters
Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
