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blsea [12.9K]
4 years ago
5

AB is Tangent to circle O at B.

Mathematics
2 answers:
musickatia [10]4 years ago
8 0
We are tasked to solve for the measurement of the radius of a circle with center O. The given values are the AB=7 units and AO=8.9 units. To further understand the problem, see attached picture. It is a right triangle, we can use Pythagorean theorem in solving for radius such as the solution is shown below:
AO² = r² + AB²
8.9² = r² + 7²
r² = 8.9² - 7²
r= 5.5

The radius is 5.5 units. 

BartSMP [9]4 years ago
8 0
The radius equals 5.5

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oee [108]

Solve for -5/6*n=40

n = 40/(-5/6)

n = 40 * -6/5

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Use substitution to solve the system 5x-3y=23 2x+y=7
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Because "y" is + in <span>2x+y=7, let's subtract 2x from both sides and end up with an expression for y:  y = 7 - 2x.  Substituting this into 5x - 3y = 23, 

5x - 3(7 - 2x) = 23.  Multiply out -3(7 - 2x):

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(20 points) A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce
horrorfan [7]

Answer:

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  • Unit price of a case of twelve 12 ounce  cans: \$0.021\ per\ ounce
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Step-by-step explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y"  the unit price (price/ounce) of the soda in the case  of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda  is equal to 67.6 ounces.

2. That bottle costs  $1.89

Then, the unit price is:

x=\frac{1.89}{67.6}\\\\x\approx0.028

3. There are 12 ounce  cans in the case. Then the total ounces is:

12\ oz*12=144\ oz

4. It costs $2.99.  So the unit price is:

y=\frac{2.99}{144}\\\\y\approx0.021

Since:

y

The better bargain is the case of 12 ounce cans.

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<span>
 1850 bce is the answer</span>
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