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Irina18 [472]
3 years ago
11

What is the center and radius of the following circle: x2 + (y _ 6)_ = 50

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0
The true question should be like this:
<span>What is the center and radius of the following circle: x^2 + (y _ 6)^2 = 50, 
circle quation formula is (x-a)^2 + (y-b)^2 = R², so by identifying each term, we find </span>(x-a)^2=x^2 = (x-0)^2, (y-b)^2= (y _ 6)^2, R² = 50, implies R =5sqrt(2), 
it is easy to identify that the center is (a,b)= (0, 6)
the radius is R =5sqrt(2), 
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Does someone mind helping me with this problem? Thank you!
Grace [21]

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

Here the value of ∠B and C is given below...we need to find the value of ∠A ....

a + 120° + 40° = 180°

a + 160° = 180°

a = 160° - 180°

a = 20°

...

4 0
2 years ago
Carla is a waitress at Daybreak Diner and she earns $5 for each hour she works. Last week she earned 148 total including $68 tip
Zigmanuir [339]

Answer: 16 hours

Step-by-step explanation:

Given

Carla earns \$5 for each hour she works

Last week she earned $148 total including \$68 tip

So, the sum of hourly income and must be equal to the total money earned

Suppose she works for x hours

\Rightarrow 5x+68=148

\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}

Thus, she works 16 hours last week

5 0
3 years ago
All sides of a square and a pentagon are 9 inches long. Are their perimeters the same? Explain
EastWind [94]


No they wouldn't be the same because, the perimeter is adding all sides.

The square has 4 sides so you would add 9, four times.

9 + 9 + 9 + 9 = 36

And a pentagon has 5 sides so you would add 9, five times.

9 + 9 + 9 + 9 + 9 = 45

So, they are not the same.

Hope this helps. :)

4 0
4 years ago
Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas
lianna [129]

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

7 0
3 years ago
How to add fractions with different denominators and negative numbers?
Kisachek [45]
Let find the least of common multiple = LCM it’s for the denominators.
Multiple of the numerator then the denominator to get the denominators
Don’t forget to to add the numerator but leave the denominators the same
8 0
3 years ago
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