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solmaris [256]
3 years ago
10

A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to t

he surface. What integer represents the dive ring's final position with respect to the surface of the water?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer:

0

Step-by-step explanation:

Given

Ring's\ Position = 10\ feet

Required

Determine its new position

Because the ring was initially below the surface of the pool;

Its initial position is

Position = -10\ feet

Taking it to the surface of the pool;

It means, the ring travels a distance of:

Distance = +10\ feet

It's final position is the summation of its initial position and distance travelled;

Final\ Position = Initial\ Position + Distance\ Traveled

Final\ Position = -10\ feet + 10\ feet

Final\ Position = 0\ feet

<em>Hence, 0 represents its new position with respect to the surface of the water</em>

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A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60° angle w
tamaranim1 [39]
<h3>Answer:</h3>

30 ft; 0.4 min

<h3>Step-by-step explanation:</h3>

The mnemonic SOH CAH TOA reminds you ...

... Sin = Opposite/Hypotenuse

Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...

... Hypotenuse = Opposite/Sin

Filling in the values from this problem, we have ...

... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft

The time it takes to travel that distance is given by ...

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3 0
3 years ago
All squares are parallelograms?
DaniilM [7]
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5 0
3 years ago
Read 2 more answers
Find all roots given that x = 3 + i is a solution. <br><br> x^4 - 10x^3 + 29x^2 - 10x - 50 = 0
Basile [38]

Answer:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

Step-by-step explanation:

We know that given the polynomial with real coefficients, if x = 3 + i is a root, then x = 3 - i must be another root. These two roots can combine multiplicative factors as shown:

(x - 3 - i) * (x - 3 + i) = (x-3)^2 + 1 = x^2 - 6 x + 9 + 1 = x^2 - 6 x + 10

Then we divide the given polynomial: x^4 - 10x^3 + 29x^2 - 10x - 50  by the quadratic one we just found, and get a perfect division:

{x^4 - 10x^3 + 29x^2 - 10x - 50} / {x^2 - 6 x + 10} = x^2 - 4 x - 5

which can be factored out by grouping as shown below:

x^2 - 4 x - 5 = x^2 - 5 x + x - 5 = x (x - 5) + x - 5 = (x - 5 ) * (x + 1)

then the full factor form of the quartic polynomial given is:

(x - 3 - i) * (x - 3 + i) * (x - 5 ) * (x + 1)

and therefore the associated roots are:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

5 0
3 years ago
Please help me... I don’t understand this at all...
timama [110]
For the problem in the upper left corner, see "figure 1"

For the problem in the upper right corner, see "figure 2"

For the problem in the lower left corner, see "figure 3"

For the problem in the lower right corner, see "figure 4"

3 0
3 years ago
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Aleks04 [339]
Answer: There are 16 million different phone numbers possible. 

First, let's find the number of possible phone numbers without the area code. There are 7 numbers in a phone number. There are 10 digits for each position. However, the first one can't be 1 or 0, so there are only 8 options.

Multiply the possibilities to find the total number.

8 x 10 x 10 x 10 x 10 x 10 x 10 = 8,000,000

Since, there are 2 different area codes, just multiply 8 million by 2 to get 16 million.
3 0
3 years ago
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