Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
Answer:
A = 2.63
B = 2
Step-by-step explanation:
To find the population density, what we need to do simply is divide the population by the area of the UK
mathematically, that would be;
(6.41 * 10^7)/243,610 = 263.125
To the nearest whole person= 263 people/ square meter
So now we want to write 263 in standard form = 2.63 * 10^2
So this means A = 2.63 and B = 2
Tan 40 = h / 20 where h = height of the pole.
h = 20 tan 40 = 16.78 feet
Answer:
Her initial position was:
-29ft
Where we use the minus sign because this is below the ocean's surface.
Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:
P(x) = -29ft - 29ft/min*t
Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:
P(x) ≥ -81ft
-29ft - 29ft/min*t ≥ -81ft
Now let's isolate t in one side:
- 29ft/min*t ≥ -81ft + 29ft = -52 ft
- 29ft/min*t ≥-52 ft
t ≤ -52ft/(- 29ft/min) = 1.79 min
Then the maximum amount of time that she can keep descending is 1.79 minutes.
Answer:
Step-by-step explanation:
I=PRT/100
I=5000*10*4=200,000/100
I=$2000
