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Svet_ta [14]
2 years ago
9

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. The fat

her dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. What is the father penguin's position relative to the surface of the water?
Mathematics
1 answer:
nordsb [41]2 years ago
4 0

The question is really quite easy. You just have to find the distance between the sea level and the point down the water. Make an illustration about the problem to visualize it better. The picture is shown in the attached picture. The distance we want to get is denoted as x. The solution is as follows:

x = 4.7 - 0.5 = 4.2 m

Hope this helps!

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Samantha uses her credit card to pay for a collision repair that ended up totaling $1,433.41. She can pay off up to $500 a month
Troyanec [42]

Answer:

A.)

Step-by-step explanation:

1433.41/500=2....

it's only 2 months so it isn't enough to pay the annual fee more than once so the 500 is useless info

1433.41*0.165 = 236.51

236.51 is A so that's the answer

6 0
2 years ago
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What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is c
Alexeev081 [22]
To answer this question, you should draw it out- see the attached picture for the example. All the side lengths are labeled. You can then use the area of a trapezoid formula to find the total area.

A=1/2 (b1 + b2)h

You can see the substitution for each value in the work shown in the picture.

3 0
2 years ago
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Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                             25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                              x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                             \frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1

3.- Find a, b and c

    a² = 64             a = 8

    b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                   a² = b² + c²

-Solve for c

                   c² = a² - b²

-Substitution

                   c² = 8² - 5²

-Simplification

                  c² = 64 - 25

                  c² = 39

-Result

                  c = √13

4.- Find the center

          C = (0, 0)

5.- Find the vertices

          V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

          F1 = (-√13, 0)   F2 = (√13, 0)

7 0
2 years ago
With reference to the figure match the angles and arcs to their measures
photoshop1234 [79]
Angle BAC = (180 - 114) degrees = 66 degrees        [angle on a straight line]

Angle OCA = Angle OBA = 90 degrees                     [angle at the point where the tangent and the radius meet]

Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees      [sum of interior angles of a quadrilateral]


Angle CDE = (180 - 124) degrees = 56 degrees        [angle on a straight line]

Angle OCD = Angle OED = 90 degrees                     [angle at the point where the tangent and the radius meet]

Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees     [sum of interior angles of a quadrilateral]

Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees                                                      [angle at a point]

Angle OBF = Angle OEF = 90 degrees                     [angle at the point where the tangent and the radius meet]

Thus, angle BFE = (360 - 122 - 90 - 90) degrees = 58 degrees.
5 0
2 years ago
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The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
tiny-mole [99]

Answer:

we have P(x) = mx + 1

Step-by-step explanation:

Allow me to revise your question for a better understanding:

<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>

My answer:

Given:

At O meter the the pressure is 1 (0, 1)

At 23 meters the the pressure is 3.3 (23, 3.3)

From that, we can form a linear equation with the standard form:

P(x) = mx + b (1)

The slope of (1) is:

m=\frac{3.3-1}{23-0}=\frac{2.3}{23}=\frac{23}{230}=0.1

<=> P(x) = 0.1x + b

Substitute the point (0, 1) into (1) we have:

1 = 0.1*0 + b

<=> b = 1

So we have the equation of this line will be: P(x) = mx + 1

7 0
2 years ago
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