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fredd [130]
3 years ago
6

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?

Mathematics
1 answer:
butalik [34]3 years ago
4 0

By definition, the area of the square is given by:

A = L ^ 2

Where,

L: length of the sides of the square

Substituting values we have:

L^2 = 81

From here, we clear the length of the sides:

L = \sqrt{81}

L = 9

Then, the perimeter of the square is given by:

P = 4L

Substituting values we have:

P = 4 (9)

P = 36

Answer:

The perimeter of the frame is:

P = 36

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Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?​
Wittaler [7]

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆y = mx + b \\  \\ 7 = 4(2) + b \\  7 = 8 + b \\  \frac{ - 8 =  - 8 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{ - 1 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

☆Using the information we gathered and was given, we just to put them together.

☆y = 4x - 1

3 0
3 years ago
If there is 15,000 gallons of water in your basement, how long will it take the 2,500 gph
Alex Ar [27]

Answer:

6 hours

Step-by-step explanation:

well we have 15000 gallons, divided by 2500 since its gallons per hour. we have 6 hours

have a good day

4 0
4 years ago
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myrzilka [38]
Mike's withdrawals will be treated as negative numbers.

Since Mike withdrew $60 three times, use the following equation to find the change in his balance:

-60 * 3 = -180

The change in Mike's account balance will be -$180.
6 0
3 years ago
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Two adjacent sides of a parallelogram are 6mm and 10mm respectively, and they form an angle measuring 60. Find the area of the p
Snowcat [4.5K]

Answer:

51.96 mm² approximately

Step-by-step explanation:

the first thing you should know is that the area of a rectangle is base*height sin of (

the included angle i.e

Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°

<em>Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:</em>

Aparallelogram= bh sin of sin of the included angle

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately

4 0
3 years ago
By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint
Vlad1618 [11]

Answer:

36 liters

Step-by-step explanation:

We solve this question using the least common multiple method

Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.

Multiples of 9:

9, 18, 27, 36, 45, 54

Multiples of 12:

12, 24, 36, 48, 60

Therefore,

LCM(9, 12) = 36

Hence, the smallest amount of each paint color the store must have sold is 36 liters

8 0
3 years ago
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