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Archy [21]
3 years ago
13

Diameter = 18 cm

Mathematics
2 answers:
miskamm [114]3 years ago
7 0

Answer:   B. 254.34 cm^2

Step-by-step explanation:

The area of a circle is pi times the radius squared.

Using the diameter we have to find the radius.

The diameter is two times the radius meaning that the radius is half the diameter.

18/ 2 = 9

The radius will be 9 cm

Now using the formula   v= pi * r^2    ,  input the value for pie and the radius and solve for  v  the volume

v = 3.14 * 9^2

v= 3.14 * 81

v = 254.34 cm^2

marusya05 [52]3 years ago
4 0

Answer:

<em>The answer would be B) 254.34 cm2 </em>

Step-by-step explanation:

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The point (-3, -1) is rotated 90° clockwise around center (0,0). What are the coordinates of the transformed point?
Setler79 [48]

Answer:

The coordinates of the transformed point are: (-1, 3)

Step-by-step explanation:

Given that the point (-3, -1) is rotated 90° clockwise around the center (0, 0).

Important Tip:

  • In Mathematics, when we rotate a point 90 degrees clockwise direction around the center (0,0), we flip the places of x and y coordinates and reverse the sign of x coordinate.

Let the coordinates of the point M(x, y).

Therefore, the general rule to rotate a point 90 degrees clockwise direction around the center (0,0) is:

M(x, y) → M'(y, -x)

where M'(y, -x) is the transformed point.

In our case,

The point (-3, -1) is rotated 90° clockwise around center (0,0)

  • Let the point (-3, -1) be named P(-3, -1)

Using the general rule to rotate a point 90 degrees clockwise direction around the center (0,0).

M(x, y) → M'(y, -x)

P(-3, -1) → P'(-1, -(-3)) → P'(-1, 3)

Therefore, the coordinates of the transformed point are: (-1, 3)

7 0
3 years ago
Jorge has 2x + 1 saved in his piggy bank. Lou Ellen has x - 2 saved in the bank. What is the minimum amount Jorge will have in s
taurus [48]

The minimum amount Jorge will have in savings for them to have $163 together is $110.34.

j = 2x + 1

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= $110.34

So,

j + x - 2 = 163

110.34 + 54.67 - 2 = 163

165.01 - 2 = 163.01

Approximately,

163

Therefore, the minimum amount Jorge will have in savings for them to have $163 together is $110.34

7 0
3 years ago
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Answer:

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4 0
3 years ago
Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6
Ber [7]

Question:

Yuet solved the equation 6a - 2b = 12 for a.

Her steps are shown below.

1. Subtract 2b: 6a = 12 - 2b

2. Divide by 6: a = 2 - \frac{b}{3}

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: 6a = 12 + 2b

2. Divide by 6: a = 2 + \frac{b}{3}

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

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Answer:

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Step-by-step explanation:

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