53) Vertical angles are congruent, so
54) and
are supplementary, so
55) Because vertical angles are congruent, . Now, because DR bisects
, this means
56) This is a geometric sequence where the next term is obtained by multiplying the previous term by -2, so the next two numbers are 16, -32
The length of pathway is 10 inches on map.
Step-by-step explanation:
Given,
Total distance = 350 miles
According to map,
1 inch = 35 miles
Let, x be the number of inches on map.
Therefore, using proportion;
Inch : mile :: inch : mile
Product of mean = Product of extreme
Dividing both sides by 35;
The length of pathway is 10 inches on map.
Keywords: Ratio, proportion
Learn more about proportions at:
#LearnwithBrainly
Answer:
Yes; at 1.75 s; 72.25 ft
Step-by-step explanation:
h = -16t² +68t
a = -16; b = 68; c = 0
The vertex h of a parabola is at
h = -b/(2a) and the maximum height is at
y = f(h)
1. Time to maximum height
2. Maximum height
3. Does the golf ball reach 70 ft?
Yes, it passes 70 ft on the way to its maximum height of 72.25 ft.
4. Time to 70 ft
-16t² + 68t = 70
-16t² + 68t - 70 = 0
8t² -34t + 35 = 0
( 4t -7) (2t - 5) = 0
4t - 7 = 0 2t - 5 = 0
4t = 7 2t = 5
t = 1.75 s t = 2.5 s
The golf ball reaches 70 ft at 1.75 s on the way up and 2.5 s on the way down.
The diagram below shows the path of your parabola.
