For an acute angled triangle
h^2 < x^2 + y^2 where h = longest side and x and y are the other 2 sides.
so here we have
15^2 < x^2 + (2x)^2
15^2 < 5x^2
x^2 > 15*3 = 45
x > sqrt 45 or x > 6.7
So smallest whole number value of x is 7
Answer:
what's the rest of the question
Step-by-step explanation:
:/
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
Answer:
$45
Step-by-step explanation:
We are given the following information;
- Money invested (Principal) is $300
- Rate of interest is 5% per annum
- Time the money is invested is 3 years
We need to determine the amount of interest the money will earn after three years.
- Simple interest is calculated by the formula;
- Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.
Therefore, in this case;
Simple interest = ($300 × 5 × 3) ÷ 100
= $45
Thus, the money invested earned a simple interest of $45
This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s
