Answer:
A≈102.07035
Step-by-step explanation:
A =π * r^2=π · 5.7^2 ≈ 102.07035
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I started with triangle GHJ on the right. It is isosceles, so ...
g = 48°
h = 2(90 -g) = 84°
k = 180° -h = 96°
Then, on the lower right, we have ...
a = 180° -143° = 37°
b = 143°
c = e = a = 37°
f = 90° -e = 53°
At vertex D, we also have ...
85° +d = b ⇒ d = 143° -85° = 58°
In triangle DGH, we have ...
m + d = h ⇒ m = h -d = 84° -58° = 26°
The sum of angles in triangle DGP is 180°, so ...
p = 180° -85° -26° = 69°
Finally, ...
s = p = 69°
r = 180° -p = 111°
_____
The relationships we used are ...
- corresponding angles are congruent (at a transversal of parallel lines)
- alternate interior angles are congruent
- an exterior angle equals the sum of remote interior angles
- acute angles in a right triangle are complementary
- angles in a triangle sum to 180°
- linear pair angles are supplementary
- angle sum theorem
Answer:
Q. Find the range and coefficient of range of the data :
- 100 , 200 , 400 , 600 , 900
⇾ Solution :
- largest value ( L ) = 900 & smallest value ( S ) = 100
We know , Range is the difference between the largest and smallest value. By definition ,
1. Range = Largest value - Lowest value = 900 - 100 =
2. Coefficient of range =
Q. If f ( x ) = 9x - 8x and x belong to { 0 , 4 , 3 ,5 }. Find the range.
⇾ Solution:
When x = 0 , f ( 0 ) = 9 × 0 - 8 × 0 = 0
When x = 4 , f ( 4 ) = 9 × 4 - 8× 4 = 4
When x = 3 , f ( 3 ) = 9 × 3 - 8 × 3 = 3
When x = 5 , f ( 5 ) = 9 × 5 - 8 × 5 = 5
- Range = { 0 , 4 , 3 , 5 )
♨ Hope I helped! ♡
☃ Have a wonderful day / night ! ✎
☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Speed = Distance / time:
Speed = 825 miles / 17 hours
Speed = 48.529 miles per hour. (Round the answer as needed).
Gas mileage = miles traveled / gallons used
Gas mileage = 825 miles / 38 gallons = 21.71 miles per gallon (Round answer as needed).
Unit rate of gas = Total money spend / gallons bought:
Unit rate of gas = $125 / 38 gallons = $3.289 per gallon.
Answer:
1/3(n)+11
Step-by-step explanation:
n represents a number