Answer:
A) 35
B) 22
Step-by-step explanation:
A) just count how many numbers there are after the bar
B) don't count the 14.0s only the 14.2 and aboves
Since they are complementary, they both add up to 90 degrees. So, 90-35=55 degrees.
The measure of angle B is 55 degrees.
Answer:
the benches are 0.8 and 1.6 miles from the ends of the path
Step-by-step explanation:
The first bench is 1/3 of the path's length from the beginning of the path:
(1/3)×(2.4 mi) = (2.4/3) mi = 0.8 mi
The second bench is 2/3 of the path's length from the beginning of the path:
(2/3)×(2.4 mi) = (2.4×2/3) mi = 4.8/3 mi = 1.6 mi
The benches are 0.8 mi and 1.6 mi from the beginning of the path.
_____
Of course, 0.8 mi from the beginning is 2.4-0.8 = 1.6 mi from the end, and vice-versa.
Answer:
Equation of the Ellipse
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the equation
x² + 2 x + 2y² - 12 y +11 = 0
⇒ x² + 2 x + 1 - 1 + 2(y² - 6 y )+ 11 = 0
x² + 2 x + 1 - 1 + 2(y² - 2(3) y+9-9 )+ 11 = 0
⇒ x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0
By using (a +b)² = a² + 2 a b + b²
(a -b)² = a² - 2 a b + b²
<u><em>Step(ii):-</em></u>
x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0
⇒ ( x+1)² +2( y-3 )² - 1 - 2(9) +11 =0
⇒ ( x+1)² +2( y-3 )² - 8 =0
( x+1)² +2( y-3 )² = 8
Dividing '8' on both sides , we get


This equation represents the Ellipse
Answer:
top one is 0.6 bottom one is 0.1