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
Multiply 5.2 x 30 and you get 156 miles
Answer:
d) 63 square units
Step-by-step explanation:
x = 3 units (base - b)
y = 6 units (width - w)
h = 7 units (length and height - l and h)
- Area of a rectangle: l*w
- Area of a triangle: 1/2*b*h
For the triangles:
Area of a triangle: 1/2*b*h
A = 1/2 * 3 * 7
A = 1/2 * 21
A = 10.5
*Since there are two triangles, it would be 10.5 * 2 = 21
For the rectangle:
Area of a rectangle: l*w
A = 7 * 6
A = 42
Now, we add them together:
A = 42 + 21
A = 63 square units
Therefore, the area of the parallelogram is 63 square units
Hope this helps!
X=time of the third person it would take to fill the pool
We can suggest this equation:
6[(1/20) + (1/15) +(1/x)]=1
6[(3x+4x+60)/60x]=1
(7x+60)/10x=1
7x+60=10x
7x-10x=-60
-3x=-60
x=-60/-3
x=20
Answer: the third person alone would fill the pool in 20 hours .
50a + 20w is greater than or equal to 350
