Part 1) The equation of a circle is (x+4)²+(y−5)²<span>=121.
What is the center and radius of the circle?
we know that
the equation of a circle is of the form
(x-h)</span>²+(y-k)²=r²
in the problem
(x+4)²+(y−5)²=121.------> (x+4)²+(y−5)²=11²
the center (h,k) is the point (-4,5) and the radius is 11
Part 2) we have that
(x+15)²+(y−12)²=25-------> (x+15)²+(y−12)²=5²
we know that
<span>the greatest distance, in feet, a person could be from the lamp and be detected is the radius
</span>
the radius is equal to 5 ft
the answer Part 2) is 5 ft
Part 3) we have that
(x−9)²+(y+11)²=16--------> (x−9)²+(y+11)²=4²
the radius is equal to 4 m
so the diameter is ------> 4*2-----> 8 m
the answer Part 3) is
8 m
Answer:
No, it is not
Step-by-step explanation:
It is suppose to be like:
1|4
2|8
3|12
$30 + $35 = $65
Assuming tax is on whole sale not each item:
$65 * 0.06 (6%) = $3.90 (6% of $65)
$65 + $3.90 = $68.90 ($65 + 6%)
OR
You could combine both of these steps and just use this working:
$65 * 1.06 (106%) = $68.90 (106% of $65)
Answer:
(35,0)
Step-by-step explanation:
Consider the diagram below, the starting point is given as A and the finish point given as C.
Using similar right-angle triangle, we have that:
Therefore to find the point where Derek stops at C, we first determine the distance |AC|
|AC|=7+28=35
The Coordinates at C where Derek stops is (35,0)
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
<u>Fraction form of probability: 10/15</u>
<u>Decimal form: 0.6 repeated</u>
<u>Percent form: about 66.67%</u>
