DE^2 = 1 + 16 = 17.
<span>EF^2 = 16 + 1 = 17. </span>
<span>DF^2 = 9 + 25 = 34. </span>
<span>Since (DE)^2 + (EF)^2 = (DF)^2,
</span><span> angle E is 90 degrees.
</span><span> DF must be the hypotenuse
</span>see attachment below
The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
Correct answer:
5/64
Step-by-step explanation:
- Multiply the numerators: 10 × 2 = 20
- 16 × 16 = 256
- Put them together: 20/256
- Simplify: 20/256 = 5/64
I hope this helps!
Answer:
0.38 and 0.7 maybe it's the answer
Step-by-step explanation:
power of 10 in above questions are 2 and 3 respectively
Answer:
B
Step-by-step explanation:
Volume = Volume of cylinder + Volume of semi sphere
= pi*r^2*h+(2/3)*pi*r^3
=pi*(4*12+16/3)=pi*53.3
