Answer:
1. 617.5 cm³
2. 335.6 in³
3. 151.6 m³
4. 3479.1 ft³
Step-by-step explanation:
1.
B1: 19.5 × 9 = 175.5
B2: 6 × 13 = 78
sqrt(B1 ×B2) = 117
h = 5
Volume = ⅓ × 5 × [175.5 + 78 + 117]
617.5
2.
B1: 3.14 × 4.5² = 63.585
B2: 3.14 × 3² = 28.26
sqrt(B1 ×B2) = 42.39
h = 7.5
Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]
335.5875
3.
B1: ½(8+12) × 6 = 60
B2: ½(3+4.5) × 2.25 = 8.4375
sqrt(B1 ×B2) = 22.5
h = 5
Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]
151.5625
4.
B1: 3.14 × 12² = 452.16
B2: 3.14 × 7² = 153.86
sqrt(B1 ×B2) = 263.76
h² = 13² - (12-7)²
h² = 13² - 5²
h² = 144
h = 12
Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]
3479.12
We are asked to solve for the area of the sector in a circle which central angle measures 125° and the circle also has a diameter of 13 feet. To solve this problem, we need to use the formula in solving area of a sector and it is shown below:
Area of a sector = (central angle / 360) * pi*r²
In the problem, we have radius = diameter / 2 which is r = 13/2 and r = 6.5 feet
Area = (125/360)*pi(6.5)²
Area = (125/360) * 3.14*6.5²
Area = 46.06 feet²
The answer is 46.1 feet².
Answer:
I would set this up as:
let: lesser number = x
greater number = 2x + 5
Restating the word problem:
lesser number + greater number = 38
x + 2x + 5 = 38
Solving: 3x + 5 = 38
- 5 -5
---------------
3x = 33
--- ---
3 3
x = 11
Substitution for the greater number:
2(11) + 5
22 + 5
27
It would be c plz mark me brainliest
Answer:
Step-by-step explanation:
Write 34 in tens and units.
34 = 30 + 4
9(30 + 4)
9 * 30 = 270
9* 4 = 36
270 + 36 = 306
After awhile if your practice enough, you can do them in your head.
