Answer:
Explanation:
The distance driven is directly proportional to the time:
Which can also be written as:
- distance₁ / time₁ = distance₂ / time₂
Here you have:
- time₁ = 1 + 2/3 hours = (3 + 2) / 3 hours = 5/3 hours
With that you can set up a proportion:
- 75 miles / (5/3) hour = x₂ / 1 hour
Solving for x₂ you get:
- x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
Answer:
x = 3π/4 radians = 135°
Step-by-step explanation:
The area of a sector of central angle α is ...
A = (1/2)r²α
Filling in the given values, we can find the central angle to be ...
54π cm² = (1/2)(12 cm)²x
x = (54π)/(72) = 3/4π . . . . radians
x = 135°
The rule of the transformation is
(x,y)->(-y,x)
which corresponds to a 90 counterclockwise rotation about the origin,
which in turn corresponds to a 270 clockwise rotation about the origin.
Note that all rotations preserve lengths and angles, hence the image and preimage are congruent.
It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k),
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67
=5*16 + 8*8 +4*4 -5*2 +67
=80 + 64 + 16 -10 +67
= 217
