Jean's car :
(12 1/2) / (5/12) =
(25/2) / (5/12) =
25/2 * 12/5 =
150/5 =
30 miles per gallon
Miranda's car :
(20 5/7) / (5/7) =
(145/7) / (5/7) =
145/7 * 7/5 =
145/5 =
29 miles per gallon
most fuel efficient is Jean's car....it gets 30 miles per gallon
Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Answer:
Step-by-step explanation:
1) Isosceles triangle
2) Right angled triangle
3) Scalene triangle
4) Equilateral triangle
5) Right angled triangle
6) Scalene triangle
7) Equilateral triangle
8) Scalene triangle
9) a) Equilateral triangle
9) b) Scalene triangle
9) c) Isosceles triangle
9) d) Right angled triangle
Note: Right angled triangle - If one angle is right angle, then it is Right angled triangle
Isosceles triangle: If two angles or two sides are equal, then it is Isosceles triangle.
Scalene triangle: If all three sides or three angles have different measurement, then it is Scalene triangle.
Equilateral triangle: If all the three sides are equal or all the three angles are equal, then it is Equilateral triangle
V = length×width ×height
V = 9 × 2 × 3
V = 54 units cubed
Use the z-score:
112 - 100
For 112, the z-score is --------------- = 12/15, or 0.8.
15
Next, find the AREA under the standard normal curve TO THE LEFT OF 0.8.
Use either a z-score table or a calculator for this purpose.
Using my calculator, I found that this area is 0.532. That places 112 in the 53rd percentile.
82 would be in a lower percentile: the 12th percentile.
Let me know if you have questions about how to use a calculator to do these calculations.
