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Ilia_Sergeevich [38]
3 years ago
12

What is the equation of a circle centered at (-3,1) with radius 7?

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0
The standard form of a circle is (x-h)^2+(y-k)^2=r^2, where h and k are the coordinates of the center and r is the radius.  We will fill in accordingly with what we have. (x-(-3))^2+(y-1)^2=7^2.  Simplifying a bit we have (x+3)^2+(y-1)^2=49.  That's the equation for your circle.
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32% of what weight is 60 oz?
oksian1 [2.3K]

Answer:

200 oz

Step-by-step explanation:

Just use the equation

0.32x=200

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2 years ago
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eimsori [14]

Answer:

3x3÷2= 4.5cm^2

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Step-by-step explanation:

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3 years ago
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A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
Reika [66]

Answer:

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

Step-by-step explanation:

From the given information;

Let a be the cost of the box

Let b  be one side of the square base ;    &

h to be the height  of the box

We know that the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

The base = (0.65)a²

The top = (0.2)a²

The side = (0.2) a × 25/a²

= 5/a

For the four sides of the box now ;

= (0.2) 4a × 25/a²

= 0.8  × 25/a

= 20 /a

The total cost of the box is:

b = 0.65a² + 0.2a² + 20 /a

b = 0.85 a² + 20 /a

Taking differential of b with respect to a ;we have:

db/da = 1.7a - 1/a²(20) = 0

1.7 a³ - 20 = 0

1.7 a³  = 20

a³ = 20/1.7

a³ = 11.77

a = \sqrt[3]{11.77}

a = 2.274 ft

Thus; the cost for the base of the box = (0.65)a²

the cost for the base of the box =(0.65) × ( 2.274)²

the cost for the base of the box = 3.362

The top of the box = (0.2)a²

The top of the box = (0.2)× ( 2.274)²

The top of the box = 1.034

The four sides of the box = 20 /a

The four sides of the box = 20/2.274

The four sides of the box = 8.795

the total cost = b = 0.85 a² + 20 /a

the total cost = 0.85 (2.274)² + 20 /2.274

the total cost = 4.395 + 8.795

the total cost = 13.19

Recall that:

the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

h = 10/ 2.274²

h  1.934

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

7 0
3 years ago
On a map, 2 cm represents 30 mi. The actual distance between two towns
nydimaria [60]

Answer:

<h2>5 cm</h2>

Step-by-step explanation:

step one:

Given that the scale of the map is

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step one:

what we are solving for is the distance in cm on the map so,

1cm rep 15miles

xcm rep 75miles

cross multiply

Xcm= 75/15

X= 5 cm

hence on the map 75miles distance between the two towns is seen as 5 cm

8 0
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An athlete plains to run 3 miles. Each lap around th school yard is 3/7 miles how many laps will the athlete run
kati45 [8]

Answer: 7 laps

Step-by-step explanation:

The athlete planned to run 3 miles

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x laps = 3 miles

by proportion :

x × 3/7miles = 3 miles

x = 3 ÷ 3/7

x = 3 x 7/3

x = 7

Therefore: the athlete will run 7 laps

3 0
3 years ago
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