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3 years ago

What is the radius of the circle given by the equation x^2+y^2=49?

Mathematics

2 answers:

viktelen [127]3 years ago

8 0

The answer is "C. 7."

The equation of a circle is (x-h)²+(y-k)²=r². r² represents the radius squared, or multiplied by itself. 7 multiplied by 7 is equal to 49, so the radius of the circle would be 7.

Marta_Voda [28]3 years ago

7 0

Formula of the circle

(x-a)² +(y-b)² = r²,

where r is a radius, (a,b) - coordinates of the center.

So,

x² + y² = 49

(x-0)² + (y-0)² = 49.

Center of this circle has coordinates (0,0).

x² + y² = 7²

r = 7

Answer is C.7.

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The New England patriots scored 9 points in the first half. In the second half they scored 3 less than 2 times the points in the

Rom4ik [11]

Answer:

$S : T = 5 : 8$

Step-by-step explanation:

Represent the first half with F and the second with S

We have that:

$F = 9$ --- From the first statement

$S = 2F - 3$ --- From the next statement

Required

Determine the ratio of S to the total point

First, we need to determine the value of S

Substitute 9 for F in $S = 2F - 3$

$S = 2 * 9 - 3$

$S = 18 - 3$

$S = 15$

Next, we determine the total points

$Total = F + S$

$Total = 9 + 15$

$Total = 24$

The ratio of S to total is: (Represent total with T)

$S : T = 15 : 24$

Divide both ration by 3

$S : T = 15/3 : 24/3$

$S : T = 5 : 8$

Hence, the ratio is 5 to 8

4 0

3 years ago

A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs

KATRIN_1 [288]

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Cost of each costume = $38
Cost of each microphone = $c
Total money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

$6 \times 38 + 6 \times c = 354$

Taking 6 as common,

$6(38 + c) = 354$

Dividing 6 from both sides,

$\dfrac{6(38 + c)}{6} = \dfrac{354}{6}$

$38 + c = 59$

Solving further,

$38 + c - 38 = 59 - 38$

$c = 21$

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

#CarryOnLearning

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8 0

3 years ago

Read 2 more answers

A company's board of directors wants to form a committee of 2 of its members. There are 5 members to choose from. How many diffe

Butoxors [25]

Answer:

10 committees

Step-by-step explanation:

Let's say there names are Bob, Doris, Brenda, Alex, and Emma.

Bob and Doris

Bob and Brenda

Bob and Alex

Bob and Emma

Doris and Brenda

Doris and Alex

Doris and Emma

Brenda and Alex

Brenda and Emma

Alex and Emma

these are all different groups starting with only 5 people leading to 10 possible variations of the committee members

Hope that helps! :)

3 0

3 years ago

Find the perimeter of the figure below. Notice that one side length is not given.

olganol [36]

Answer:

48 cm

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of its sides.

Find the length of the unknown side

Let the unknown length be x cm.

Notice that the sum of the lengths of the unknown side and the side measuring 5 cm I equal to the length of the side measuring 9 cm.

x +5= 9

Subtracting 5 from both sides:

x= 9 -5

x= 4

Add up the lengths of all of the sides to find the perimeter. I will add the lengths starting from the side measuring x cm (or 4 cm), and sum them up in a clockwise manner. This ensures that none of the sides are overlooked.

Perimeter of the figure

= 4 +15 +9 +7 +5 +8

= 48 cm

Additional:

For more about perimeter of figures, do check out the following!

brainly.com/question/11957651

6 0

2 years ago

Can somebody explain this

Blizzard [7]

Answer:

You should first find the side length of each square, and then use the Pythagorean theorem to find x.

Step-by-step explanation:

3 0

4 years ago