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allsm [11]
3 years ago
7

In converting 9 yards to inches, what unit (omit the number) would you place in the numerator of your ratio? Remember that there

are 36 inches in 1 yard
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

  inches

Step-by-step explanation:

The "to" unit goes in the numerator. (The "from" unit goes in the denominator.) Since we're converting to inches, the numerator of the conversion factor has units of inches.

_____

  9 yd = 9 yd × (36 in)/(1 yd) = 324 in

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What is the mode for the set of data? 6,7,10,12,12,13<br><br> 10<br> 12<br> 13<br> 11
KonstantinChe [14]
12
because it is the only number that appears more than once which is basically the definition of mode.
4 0
3 years ago
Practice with area
joja [24]

Answer:

  1453 cm²

Step-by-step explanation:

The area of a regular polygon is given in terms of its perimeter and apothem by ...

  A = (1/2)Pa

  A = (1/2)(145.3 cm)(20 cm) = 1453 cm²

The area of the pentagon is 1453 square centimeters.

4 0
2 years ago
A square region with perimeter 60 inches is made with square inch tiles. Bob removes one tile from the square and rearranges the
icang [17]

Answer:

  60 inches

Step-by-step explanation:

The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.

<h3>Rectangle dimensions</h3>

The square has a side length of ...

  P = 4s   ⇒   s = P/4 . . . . . P is perimeter, s is side length

  (60 in)/4 = 15 in . . . . length of the side of the square

The square has an area of ...

  A = s²

  A = (15 in)² = 225 in²

When 1 tile is removed, the resulting area, in square inches, is ...

  A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16

<h3>Perimeter</h3>

The perimeter of a rectangle is given by ...

  P = 2(L+W)

For this rectangle, the perimeter is ...

  P = 2(14 in + 16 in) = 2(30 in) = 60 in

The perimeter of the rectangle is 60 inches.

3 0
1 year ago
7-113 b.
Jlenok [28]

An equilateral shape is a shape that has all congruent sides.

<em>Sandy has a greater probability of selecting an equilateral shape</em>

Given

Sandy: <em>Equilateral triangle, Rhombus, and Regular hexagon</em>

Robert: <em>Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle</em>

All three shapes in Sandy's shape bucket are equilateral.

So, the probability that Sandy picks an equilateral shape is 1

All five shapes in Robert's shape bucket are non-equilateral.

So, the probability that Robert picks an equilateral shape is 0

By comparing the probabilities:

<em>1 is greater than 0</em>

Hence, Sandy is more likely to pick an equilateral shape than Robert.

Read more about probabilities at:

brainly.com/question/24297863

5 0
2 years ago
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons
Juliette [100K]

Answer:

<em>The water is leaking at the rate of 0.0625 gal/min.</em>

Step-by-step explanation:

<u>Rate of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

\displaystyle r=\frac{3\ gallons}{48\ min}

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.

5 0
3 years ago
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