Answer:
The other two vertices have coordinates (4,4) and (10,8). He will need 40 meters of fence for the soccer field. And inside the fence there are 48 square meters, which is a 24% of the total surface of the land behind his house, assuming it is a square of 10 meters of lengt and 10 meters of width.
Step-by-step explanation:
Since the coordinates must form a rectange, then, the other two location must be (4,4) and (10,8) (each coordinate must have something in common with the coordinates of the 2 locations we were given).
The sides of the fence have length 8-4 = 4, and 10-4 = 6. Thus, the perimeter of the fence is 2*4+2*6 = 20 units. Since each unit is 2 meters, then that means that Jonas will need 40 meters of fence.
The area inside the fence is 6*4 = 24 square units, therefore it is 48 square meters, and assuming that the grid goes from 0 to 10 in both coordinates, the area of the land behind his house is 10*10 = 100 square units, thus it is 200 square meters. He is using 48/200*100 = 24% of the land for the soccer field.
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
We then have the following equation:
y = 57 (1.31) ^ t
The initial number of bacteria is 57 and the growth rate is 31% per hour.
Answer:
B. The initial number of bacteria is 57 and the growth rate is 31% per hour
Answer:
he would make 12 phone calls
Step-by-step explanation
so he talks three minutes each time he is on the phone so divide 37 by 3 to get 12.33 with the .33 repeated but you have to round down to 12 because you have to have a whole number for the calls but even if the number was 12.79 you cant round up to 13 because the number has to be over 13
Answer:
658.24 m
Step-by-step explanation:
The figure makes a triangle with vertices abc.
Where ab = 500 m
bc = 350 m
The angle abc = 100°
Using the cosine rule we can find the distance ac.
ac² = 500²+350² - 2×500×350×cos100°
= 372,500 - -60,776.86
= 433,276.86
ac = √433,276.86
= 658.24 m
