Answer:
100 miles
Step-by-step explanation:
20/60 = 1/3
1/3 x 300 = 100
Answer:
(1 x 344) ft
(344 x 1) ft
(2 x 172) ft
(172 x 1) ft
(4 x 86) ft
(86 x 4) ft
(8 x 43) ft
(43 x 8) ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Step-by-step explanation:
area of a rectangle = length x width
given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area
factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers
Factors of 344 = 1, 2,2,2,43 and 344
<em><u>Possible dimensions and their areas </u></em>
1 x 344 = =344 ft²
2 x 172 = 344 ft²
4 x 86 = 344 ft²
8 x 43 = 344 ft²
Perimeter of a rectangle = 2 x (length + width)
i would use the dimensions i calculated to determine all the possible perimeters
2 x ( 1 + 344) = 690 ft
2 x (2 + 172) = 348 ft
2 x (4 + 86) = 180 ft
2 x (8 + 43) = 102 ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Answer:
D. 24 ft
Step-by-step explanation:
The slope of 1/3 means the rise is 1/3 the run for each half of the span. The rise is shown as 4 ft, so the half-span is 3·4 ft = 12 ft.
The span of the roof is 24 ft.
Answer:
the answer is 28d + 42
Step-by-step explanation:
multiply what's on the brackets them add
Answer:
1. 22583.5 J
2. 1248 kg
3. 78.09 m/s
Step-by-step explanation:
The formula for kinetic energy is ;
K.E = 1/2* m * v²
Where m is the mass and v is the velocity
1.
K.E = 1/2 * m*v²
K.E = 1/2 * 47 * 31²
K.E = 22583.5 J
2.
Velocity = 9.78 m/s.
Kinetic energy = 60,800 J
To get mass, apply the formula as;
K.E = 1/2 * m*v²
60,800 = 1/2 * m * 9.78²
60800 = 48.70845 m
60800/48.70845 = m
1248 = m
Mass = 1248 kg
3.
K.E = 143.3 J
Mass = 0.047 kg
Apply the formula;
K.E = 1/2 * m*v²
143.3 = 1/2 * 0.047 * v²
143.3 = 0.0235 v²
143.3/0.0235 = v²
6097.87 = v²
v = √6097.87
v= 78.09 m/s