Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Is that Chole and Dave <em>each </em>get 2.5 times Ann? Let's assume so.
A:B=2 : 9
A:C:D=1 : 2.5 : 2.5
We can scale ratios without changing them, like fractions.
A:C:D=2:5:5
With A the same in both ratios we can put them together.
A:B:C:D=2:9:5:5
There's some scale factor k such that
k(2+9+5+5)=399
k = 399/21 = 19
Bill gets 9 shares of 19, 9×19 = 171
Answer: 171 pounds
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Answer:
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Answer:
See attachment
Step-by-step explanation:
In attached file. Calculate values for the proposed functions and compare to the values given for h(x).