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Brilliant_brown [7]
2 years ago
8

A bakery offers a small circular cake with a diameter of 8 inches. It also offers a large circular cake with a diameter of 24 in

ches. Complete the explanation for whether the top of the large cake has three times the area of that of the small cake.
Mathematics
2 answers:
drek231 [11]2 years ago
8 0
Large cake:
24÷2=12
12 is the radius of the large cake.
12×12×3.14=452.16

Small cake:
8÷2=4
4 is the radius of the small cake.
4×4×3.14=50.24

452.16÷3=150.72
So, The area of the large cake is not three times the area of the small cake.
Elanso [62]2 years ago
7 0
We must find the area of each cake's top.

Formula for area of a circle:

A =  \pi  r^{2} where r is the radius.

<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)

A =  \pi  4^{2}

A = 16π

<span>big cake:
</span>Repeat the process: 
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)

A = \pi 12^{2}

A = 144π

So our two radii are 144π and 16π. 
The large cake's top is not 3 times the area of the small cake's.

This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant. 

Hope this helped! ^-^
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Y+9÷2=y-3÷4-(y/3)<br>pls help​
Ann [662]

Answer:

y = - \frac{63}{4} or - 15.75

Step-by-step explanation:

Order of operations.

y + \frac{9}{2} = y - \frac{3}{4} - \frac{y}{3} Subtract y from each side.

y - y + \frac{9}{2} = y - y - \frac{3}{4} - \frac{y}{3}

\frac{9}{2} =  - \frac{3}{4} - \frac{y}{3}   Add \frac{3}{4} to each side

\frac{9}{2} + \frac{3}{4} = - \frac{3}{4} + \frac{3}{4} - \frac{y}{3}

\frac{9}{2} + \frac{3}{4} = - \frac{y}{3}    Find the common denominator for \frac{9}{2} and \frac{3}{4}, which is 4

\frac{9}{2} * \frac{2}{2} + \frac{3}{4} = - \frac{y}{3}

\frac{18}{4} + \frac{3}{4} = - \frac{y}{3}

\frac{21}{4} = - \frac{y}{3}   Multiply each side by 3

\frac{21}{4}  * 3 = - \frac{y}{3} * 3

\frac{63}{4} = - y      Divide each side by -1

y = - \frac{63}{4} = - 15 \frac{3}{4}

y = - 15.75

3 0
3 years ago
Read 2 more answers
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
1 year ago
PLEASEEEE HELPPPPP!!!!!!!!
Feliz [49]

Answer:

C, thoughtful and grntle

5 0
2 years ago
Read 2 more answers
How would you solve this problem? (Worth 10 points, pls help!)
mrs_skeptik [129]

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

       (-38, 40) and (-23, 30)

      slope =   \frac{40-30}{-38-(-23)} = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

    y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

   40 = -2/3 (-38) + b

   40 = 76/3 + b

   40 - 76/3 = b

   b = 44/3

4. To find the x-intercept, set y = 0, and solve.

   y = -2/3 x + 44/3

   0 = -2/3 x + 44/3

   2/3 x = 44/3

   x = 22

Hope this helped!

5 0
2 years ago
Does any one know how to do this​
kkurt [141]

Answer:

259,117-3,7001=222,116 employees left.

6 0
2 years ago
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