Answer:
Step-by-step explanation:
Box A is 0.021 dollars per gram
Box B is 0.012 dollars per gram
Box B is cheaper per gram by 0.009 dollars
Answer:
- Walnuts - $1.25, chocolate chips - $3.25
Step-by-step explanation:
Let walnuts = x, chocolate chips = y
<u>Set a system and solve:</u>
<u>Double the first equation and subtract the second one from it:</u>
- 6x + 10y - 6x - 2y = 40 - 14
- 8y = 26
- y = 26/8
- y = 3.25
<u>Find the value of x:</u>
- 6x + 3.25*2 = 14
- 6x = 14 - 6.5
- 6x = 7.5
- x = 7.5/6
- x = 1.25
The standard form of the equation of a circle of radius r, with (assuming centre h, k) is given as:
(X-h)^2 + (y-k)^2 = r^2
As we are required to write an equation in standard form for the circle with radius 9 centred at the origin.
Centre(h,k)=(0,0), r=9
Substituting these values into the standard form of the equation of a circle given above:
(X-0)^2 + (y-0)^2 = 9^2
X^2 + y^2 =81
The standard form is x^2 + y^2 =81
I’m pretty sure this is right
<u>Given</u>:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
<u>Measure of ∠ABO:</u>
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
Substituting the values, we get;
Adding the values, we have;
Subtracting both sides by 158, we get;
Thus, the measure of ∠ABO is 22°
If I’m correct the area is 48
