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lord [1]
2 years ago
11

The table shows how much an air-conditioning repair company charges for different numbers of hours of work. Write the equation i

n slope-intercept form. *
Mathematics
1 answer:
Sloan [31]2 years ago
5 0

Answer:

x over y using the numbers given

Step-by-step explanation:

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When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
loris [4]

Answer:

4

Step-by-step explanation:

8164/78.5

(8164×2)/((78.5×2)

= 16328/157

= 104

5 0
3 years ago
Read 2 more answers
Calculate the volume of blood moved per minute by a heart at rest.A heart "at rest" beats at a rate of 72 beats per minute and m
Travka [436]

Answer:

70 X 72 = 5040 mL per minute

6 0
2 years ago
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
Sophia is dilating a figure. One of her pre-image points with coordinates (-3, 5) has an image with coordinates (-9, 15). If one
Galina-37 [17]
The dilation factor Sophia is using appears to be
  (image coordinate)/(original coordinate) = -9/-3 = 15/5 = 3

Then the problem tells us
  (pre-image point)×3 = (3, 1)
so we conclude
  (pre-image point) = (3, 1)/3 = (1, 1/3)
8 0
3 years ago
Read 2 more answers
What is the range of the relation?
Alika [10]

Answer:

{- 3, - 2, 0, 2 }

Step-by-step explanation:

The range is the y- coordinates of the points

(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )

The y- coordinates are - 3, - 2, 0, 2

Then the range is { - 3, - 2, 0, 2 }

8 0
2 years ago
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