Answer:
C
Step-by-step explanation:
Consumed = 1500
Burned = 400
Calorie Count total = 1500 - 400 = 1100
His target is 1900, so he will need 1900 - 1100 = 800 calories to consume more
So, 1100 is NOT a viable solution because he will go over 1900 if that happens. Hence, C is the correct choice.
Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.
We find the angle made at the opposite of the 45 yd side using the sine rule as follows.

Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.
We also use the sine rule to find the third side of the triangle as follows.

Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds
The complete question in the attached figure
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>
C) f(x) = 2(x + 1)2 + 2</span>
Answer:19.74 gallons of the gas in the tank is wasted.
Step-by-step explanation:
Since the efficiency of the gas engine is 6%, wastage is #= 100 - 6 = 94%.
Therefore wastage = 94% x 21=94 x21/100=19.74 gallons