Answer:
x^2+(y-1)^2=25
Step-by-step explanation:
eqn of circle : (x-h)^2+(y-k)^2=r^2
center of circle = (h,k)
hence, the center of the current circle is (2,3)
moving 2 units to the left would make the center (0,1)
the radius would remain the same (5) , hence the new eqn would be
(x-0)^2+(y-1)^2=25
x^2+(y-1)^2=25
There is an isosceles triangle.
The triangle is like two right triangles put together.
To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.
Phytagoras Theorem :
b² = c² - a²
x² = 8² - (6÷2)²
x² = 64 - 3²
x² = 64 - 9
x² = 55
x = √55
So, the value of x is √55 (B)
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
The ratio of of number of homework papers to number of exit tickets of Mr Rowley and Ms. Alvera are not equivalent.
<h3>Ratio</h3>
A ratio is a number representing a comparison between two named things. It is also the relative magnitudes of two quantities usually expressed as a quotient.
Mr Rowley:
- Homework papers = 16
- Tickets to return = 2
Ratio of number of homework papers to number of exit tickets = 16 : 2
= 16 / 2
= 8 / 1
= 8 : 1
Ms Alvera:
- Homework papers = 64
- Tickets to return = 60
Ratio of number of homework papers to number of exit tickets = 64 : 60
= 64/60
= 16 / 15
= 16 : 15
Therefore, the ratio of of number of homework papers to number of exit tickets of Mr Rowley and Ms. Alvera are not equivalent.
Learn more about ratio:
brainly.com/question/2328454
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Answer:
$289.25
Step-by-step explanation:
First we should find out how much Ms. Maple would make in a week without overtime.
6.5 x 40 = 260
Now, let's figure out how much she makes per hour in overtime.
6.5 x 1.5 = 9.75
Now add up the hours of overtime.
9.75 x 3 = 29.25
Now we add the weekly wage to the overtime
260 + 29.25 = 289.25
For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.
