Answer:
The answer is 40°
Step-by-step explanation:
Solution
Now,
The Measure of major arc FD = 280°
Thus,
One complete angle measure 360°
Then
m∠FED = 360 - 180
m∠FED = 80°
Thus,
FE = DE ( the same circle Radius)
∠EFD = ∠EDF ( opposite angles to equal sides are equal)
Now
Applying angle sum property of a triangle in ΔEFD
∠EFD + ∠EDF + ∠FED = 180°
∠EFD + ∠EFD + 80 = 180
2∠EFD = 100
∠EFD = 50°
Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.
∠EFG = 90°
∠GFD + ∠EFD = 90°
∠GFD + 50 = 90
∠GFD = 40°
Therefore, The measure of the angle GFD is 40°
Answer:
Therefore the function that models the height of the object after t seconds is given by "H(t) = 15 + 8.5*t + 16.09*t²".
Step-by-step explanation:
Since the object has a initial velocity and it's being accelerated by gravity, than it's height is defined by:
H(t) = H(0) + V(0)*t + 0.5*g*t²
Applying the data from the problem, we have:
H(t) = 15 + 8.5*t + 0.5*32.17405*t²
H(t) = 15 + 8.5*t + 16.09*t²
Therefore the function that models the height of the object after t seconds is given by "H(t) = 15 + 8.5*t + 16.09*t²".
Answer:
Both triangles share two congruent sides, this must mean they also share a common angle
To prove they are congruent we can use the SAS theorem.* Not SSS I corrected my answer.
A. X is the number of years after 2000
2006-200 = 6 years.
Replace x with 6 and solve:
105(6)^2 + 680(6) + 4296 = 12,156
Answer for part a: 12,156
Answer for part B.
There was just over 12,000 in 6 years , to get to 21,500 would be a little over 9,000 more 9/12 = 0.75
6 years x .75 = 4.5 years
6 + 4.5 = 10.5 years round to 10 years for estimating purposes
Answer for part b: about 10 years
Answer:
Step-by-step explanation:
1.
Dependent variable: a
Independent variable: c
2.
(in this order)
x = 9
x = 15
x = 4
x = 36 (assuming that says x = 12 * 3)
