Answer: 800 feet²
Step-by-step explanation:
Lets remove the brackets from the function's expression
A(x) = -2x²+80x
So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max
As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)
Lets find X1 and X2
x(80-2x)=0
x1=0 80-2*X2=0
x2=40
So Xmax= (0+40)/2=20
So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²
Answer:
Andre is taller.
Step-by-step explanation:
I assume Andre's height is 1.7 m.
Let's convert Andre's height to cm.
1 m = 100 cm
1.7 m = 1.7 * 1 m = 1.7 * 100 cm = 170 cm
Andre is 170 cm tall. Diego is 165 cm tall.
Since 170 cm > 165 cm, Andre is taller.
a ≈ 5.2, B ≈ 50°, C ≈ 95°
Solution:
Given data:
A = 35°, b = 7, c = 9
Using cosine law,
Taking square root on both sides.
a ≈ 5.2
Using sine law,
Multiply by 7 on both sides.
Switch the sides.
Sin B = 0.772
B ≈ 50°
Sum of all the angles of a triangle = 180°
A + B + C = 180°
35° + 50° + C = 180°
85° + C = 180°
C = 180° - 85°
C = 95°
Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.
After 5 years, value doubles.
Hence after 5 years, value is 250 x 2 = 500
After another 5 years, value doubles.
500 x 2 = 1000
Ans: $1000
Method 2, using function given.
v(10) = 250 x 2(10/5) = $1000
