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erik [133]
3 years ago
11

The ratio of boys to girls in the sixth grade is 2:3. If there are 80 boys, how many are girls? Solve using unit rates.

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:n 80

j

Step-by-step explanation:

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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
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
exis [7]

Answer:

<h2><u><em>3.5 Km</em></u></h2>

Step-by-step explanation:

the length of the hypotenuse is 4 Km, it is probable that you are looking for the value of the cathetus a.

it is a right triangle and we use Pythagoras

a² = 4² - 2²

a² = 16 - 4

a² = 12

a = √12

a = 3.46 (round 3.5)

4 0
2 years ago
Common factor of 20,88,40
Inessa [10]

common factors: 1, 2, 4

GCF: 4

5 0
3 years ago
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks d
Nata [24]

Answer:

the answer is $8.29

Step-by-step explanation:

1.60 marked up by 60% in decimal form is .60

multiply that .60 by 1.60 and you get .64

you add .64 to 1.60 and you get 2.56

you multiply 2.56 by 3 and you get 7.68

you have a 8% sales tax so you multiply 0.08 by 7.68

you will get .61 you add that to 7.68 to get $8.29

4 0
3 years ago
Read 2 more answers
Hich of the following sets of numbers could be the lengths of the sides of a triangle?
d1i1m1o1n [39]
Each side of a triangle has to be shorter than the sum of the other 2. The only possible answer is b: 3,5,7   (7<5+3)
4 0
3 years ago
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