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trapecia [35]
3 years ago
11

The composite figure shown is made up of half of a sphere and a

Mathematics
1 answer:
grigory [225]3 years ago
6 0

we can divide this shape into two parts

(1) Hemisphere:

we can see that

radius is 8

now, we can use formula for volume

V=\frac{2}{3} \pi r^3

V=\frac{2}{3} \pi (8)^3

V=1072.33029

(2) Cylinder:

radius is 8

height is 7

we can use formula

V=\pi r^2 h

V=\pi (8)^2*7

V=1407.43351

now, we can add them to find total volume

V=1072.33029+1407.43351

V=2479.7638 in^3..............Answer

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Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit
olchik [2.2K]

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

         → (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

5 0
3 years ago
A discount store sells items at 80% of the regular price. If the sale price of sneakers is $96, what is the regular price ?
tresset_1 [31]

Answer:

$120

Step-by-step explanation:

80%=$96

1%=80%/80=96/80=1.2

100%=1%×100%=1.2×100=120

4 0
2 years ago
Two girls are standing 100 feet apart. They both see a beautiful seagull in the air between them. The angles of elevation from t
Nookie1986 [14]
The answer is 26.68, btw do you keep getting those bots too?
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3 years ago
WE GIVE 11 POINTS AND BRAINIEST URGENT HELP
Alina [70]

Answer:

1.  Find < ACB

2. Use that triangles =180 to find <B  = 41

Step-by-step explanation:

1.We need to find < ACB

<ACB +<DBC= 180 They make a straight line

Subtract DBC from each side

<ACB = 180 - <DBC  

We know DCB = 113

ACB = 180 -113

ACB = 67

2.The three angles of a triangle = 180, so we can then find <B

<A +<B + <ACB = 180

72 + B + 67 = 180

Combine like terms

139+ <B = 180

Subtract 139 from each side

<B = 180-139

<B =41

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4 years ago
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The interest rate is 4.4
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4 years ago
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