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Viefleur [7K]
4 years ago
15

The price of an item has been reduced by $4.59. The new sale price is $60.33. What was the original price ?

Mathematics
2 answers:
Scrat [10]4 years ago
8 0

Answer:ndsscd3492

Step-by-step explanation:ashunuv essx

Ksivusya [100]4 years ago
4 0

Answer: $64.92

Step-by-step explanation:

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a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spheri
jasenka [17]

The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

<h3>What is the approximate amount of water that remains in the tub?</h3>

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

  • r = radius = diameter / 2 = 18/2 = 9 inches
  • h = height
  • π = 3.14

3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³  -  1607.68 in³ = 3479.12 in³

To learn more about the volume of a sphere, please check: brainly.com/question/13705125

#SPJ1

4 0
2 years ago
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
3 years ago
Laura wants to cover the floor of her rectangular bedroom with carpet. Laura's bedroom is 15 feet in
Kryger [21]

Area = Length x width.

Area of room = 15 x 24 = 360 square feet.

Now multiply the square feet by the cost:

360 x 5 = $1800

It will cost $1,800

8 0
3 years ago
20 POINTS HELP NOW PLEASE
Brrunno [24]

Answer:

The relation is a FUNCTION

Step-by-step explanation:

as you can see the value of domain or the x there's no repeating number at all.

7 0
3 years ago
Read 2 more answers
a dejuicer was able to squeeze 1/5 of a pint of juice from a bag of oranges. This amount of juice filled up 1/8 of a jug. At thi
schepotkina [342]
4 and 3/8 and if you round youll need 5 bags
7 0
3 years ago
Read 2 more answers
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