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REY [17]
3 years ago
6

Identify the center and radius of the circle whose equation is (x+2)^2+(y-3)^2=49.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0
The center is (0,0).
The radius is 7.
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PLEASE HELP!!!!! DUE TODAY!!!!!
prisoha [69]

Answer:

12.4 cm³

Step-by-step explanation:

From the picture attached,

Radius of the circular top of the cone = \frac{\text{Diameter}}{2} = \frac{2}{2}=1

Height of the cone = h

Lateral height of the cone = h

By applying Pythagoras theorem in the right triangle of the cone,

l² = r² + h²

6² = 1² + h²

h = \sqrt{36-1}

h = \sqrt{35}

Ice cream needed to fill one cone = Volume of the cone

Since, formula for the volume of the cone V = \frac{1}{3} \pi r^{2} h

V = \frac{1}{3}\pi (1)^2(\sqrt{35})

   = 6.195

   ≈ 6.20 cm³

Ice cream needed to fill the two cones = 2 × 6.20

                                                                 = 12.4 cm³

Therefore, ice cream needed to fill the two cone = 12.4 cm³

4 0
3 years ago
If the top of a 4.50 m ladder reaches twice as far up a vertical wall as the foot of the
STALIN [3.7K]

Answer:

4 m.

Step-by-step explanation:

Length of ladder, L = 4.50 m

Base of ladder from the wall, B = x

Height of the wall, H = 2x

Using Pythagoras theorem

L^2 = B^2 + H^2

4.5^2 = x^2 + (2x)^2

5x^2 = 4.5^2

x = 2\ m\ (approx.)

Height of the wall  is equal to 2 x 2 = 4 m.

6 0
3 years ago
What is 12/39 in simplest form
Genrish500 [490]
<span>If you would like<span> to know what is </span>12/39 in simplest form, you can calculate this using the following step:<span>

12/39<span> simplifies to 4/13 (the common factor of 12 and 39 is 3, so you can divide both numbers by 3).</span>

<span>The result is 4/13.</span></span></span>
8 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 7-2(x+2) &lt; 4-3(1 - x)?
iren [92.7K]

Answer:

-x<-16

Step-by-step explanation:

4-3(1-x)

x=-1

7-2(x+2)

x=2

5 0
3 years ago
If 4x = 28 then x = 7
Contact [7]

Answer:

correct

Step-by-step explanation:

4 times 7 is 28

6 0
3 years ago
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