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2 years ago

The surface of An air hockey table has an area of 40 ft. Perimeter is 28 feet what are the dimension of the air hockey table

Mathematics

1 answer:

sukhopar [10]2 years ago

5 0

Answer:

4ft and 10ft

Step-by-step explanation:

you got to figure out which 2 numbers when multipled make 40 and when added make and then multiplied by 2 make 28

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Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

nikitadnepr [17]

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

Same slopes
Different y-intercepts

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

#LearnwithBrainly

5 0

3 years ago

A man bought a car for Gh55,000.00 and sold it for Gh65,000.00. Find the percentage gain.

IgorLugansk [536]

Answer:

18.18%

Step-by-step explanation:

(65000-55000)/55000×100

5 0

2 years ago

The mean height of women in a country (ages 20-29) is 63.9 inches. A random sample of 65 women in this age group is selected. Wh

anzhelika [568]

Answer: The mean height of women in a country ages 20 29

The mean height of women in a country (ages 20-29) is 63.7 inches.

4 0

3 years ago

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius

Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0

3 years ago

Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu

galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

$1 g = \frac{1}{28} oz$

Now, for 35 g of gold, we can write,

$35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz$

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

$1.25 * 1244\\$1530$

4 0

3 years ago

Read 2 more answers