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Tema [17]
2 years ago
10

Luke is swimming in still water at a constant speed of 3 meters/second. If you graph this relationship with time along the x-axi

s and distance along the y-axis, the slope of the line representing this relationship is? A point on this line that corresponds to the the distance Luke swam in 45 seconds is?
Mathematics
1 answer:
Sav [38]2 years ago
4 0
The first thing you should know is that distance is defined as the product of speed over time.
 We have then:
 d = v * t
 Then, we know that:
 v = 3 m / s
 therefore, the slope of the line is:
 3m / s
 For t = 45 seconds we have:
 d = v * t
 d = (3) * (45).
 d = 135 m
 The point is:
 (45, 135)
 answer:
 The slope of the line representing this relationship is:
 3m / s
 A point on this line that corresponds to the distance Luke swam in 45
seconds is:
 (45, 135)
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A television is 28.5 inches wide and 16 inches long.
Umnica [9.8K]

Answer:

  33 in

Step-by-step explanation:

The Pythagorean theorem tells you ...

  diagonal² = length² +width²

  diagonal² = (16 in)² +(28.5 in)² = 1068.25 in²

  diagonal = √(1068.25 in²) ≈ 32.684 in

The diagonal of the television is about 33 inches.

7 0
2 years ago
Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probab
Komok [63]
Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. What is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? Assume that no players over 6 feet tall have good aim. A. 7/15 B. 6/15 C. 7/9 D. 5/9

The Answer Is

--------5/9--------
5 0
2 years ago
A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0
2 years ago
The figure below shows the dimensions of a city park in feet. Shannon thinks the area of city park is 73,084 square feet. Do you
Andreyy89

Answer:

We need to solve for the 4th side

4th side base = 75.5 -60.5 = 10 feet

4th side height = 16

4th side LENGTH^2 = 10^2 + 16^2

4th side = sq root (356) = 18.8679622641

Trapezoid Area = [(sum of the bases) / 2 ] * height

Trapezoid Area = [(136)/2] * 16

Trapezoid Area = 1,088 square feet, which is MUCH smaller

than 73,084

Step-by-step explanation:

3 0
2 years ago
Lines e and f are parallel. The m9 = 80° and m5 = 55°. Which angle measures are correct? Check all that apply. m2 = 125° m3 = 55
Scorpion4ik [409]

I’ve answered this question before, so please see the attached image.

The solution would be like this for this specific problem:

 

1, 4, 5, 8 = 55<span>
2, 3 , 6, 7 = 125
9, 12, 13, 16 = 80
10, 11, 14 ,15 = 100</span>

<span>So, the angle measures that are correct are:

</span>

m12 = 100

m8 = 55

m14 = 100

<span>m16 = 80</span>

4 0
2 years ago
Read 2 more answers
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