Answer:
$2.77 per quart.
Step-by-step explanation:
There are four quarts in a gallon.
4 * 3 = 12
There are 12 quarts in 3 gallons.
The price per quart should be $2.77.
Hope this helps.
We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
180°=∠BAC + ∠BCA + ∠ABC
180°=∠BAC + 90° + 40°
∠BAC =50°
The answer is 50°.
Answer:
72.54°
Step-by-step explanation:
Given that triangle LMN is a right-angle triangle and LM=18 inches and LN =60 inches then;
applying the cosine rule
cos ∠L=Adjacent/hypotenuse
cos∠L=18/60
cos∠L=0.3
cos⁻¹ ∠L= 72.54°
We know that
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the
leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete
the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49
<span>Rewrite as perfect squares</span>
y=-14*(x-1/7)²-917/49
the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143
the vertex of the parabola is(0.1429, -18.7143)
see the attached figure