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Alina [70]
4 years ago
10

Name the property that each

Mathematics
1 answer:
emmasim [6.3K]4 years ago
5 0

(12 + 3) + 32 = 12 + (3 + 32)

Associative property of addition: if you have to sum three or more terms, you can group them as you like.

14(1/14) = 1

Multiplicative inverse: a number multiplied by its inverse is 1

27 + 0 = 27

Identity element of addition. If you sum any number with zero, the result is the number you started with.

11(4y – 9) = 44y - 99

Distributive property of addition: if you have to multiply a whole sum/subtraction by a number, it is the same as multiplying each term in the sum/subtraction by that number.

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if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t
AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0
3 years ago
{8} ⊆ {7,8,9} true or false
Natalija [7]

the answer is false

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6 0
3 years ago
Read 2 more answers
A supermarket had bags of red apples for $27.09 for 7. The also had bags of green apples priced at $14.96 for 4. Which type of a
jarptica [38.1K]

Answer:

Red

Step-by-step explanation:

RED:

$27.09 / 7 = $3.87

GREEN:

$14.96 / 4 = $3.74

$3.87 > $3.74

7 0
3 years ago
A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
2 years ago
Which unit would you use to measure the height of a giraffe? mm cm m km
aliina [53]

Answer:

centimeters

Step-by-step explanation:

6 0
4 years ago
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