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Andrew [12]
2 years ago
9

Find the height of a cylinder whose diameter is 42 cm and the area of its curved

Mathematics
1 answer:
Wittaler [7]2 years ago
7 0

9514 1404 393

Answer:

  90 cm

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  LA = πdh

Filling in the given information, we can solve for h:

  11,880 cm^2 = π(42 cm)h

  h = 1180 cm^2/(42π cm) ≈ 90.0 cm

The height of the cylinder is about 90 cm.

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natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are (x_1,y_1) and (x_2,y_2), then the coordinates of that point are

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

(\frac{(5)(7)+(1)(1)}{5+1},\frac{(5)(2)+(1)(-10)}{5+1})

(\frac{35+1}{6},\frac{10-10}{6})

(\frac{36}{6},\frac{0}{6})

(6,0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

8 0
3 years ago
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2 magazines weigh 7/8 pounds what is the unit rate for pounds per magazine
KATRIN_1 [288]
For : " 2 magazines weigh 7/8 pounds what is the unit rate for pounds per magazine " The answer is : Each magazine weighs an overall total of 3.5/8 pounds.
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3 years ago
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Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75
zimovet [89]

Answer: 1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

Since the strawberries cost $1.60 per pound, it would be x pounds times $1.60 for the total cost of strawberries. Since the raspberries cost $1.75 per pound, it would be y pounds times $1.75 for the total cost of the raspberries. The total cost of both, or 1.60x + 1.75y, must be equal to or less than 10 because she cannot spend over 10 dollars.

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The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of
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Answer:

  13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

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3 years ago
3. A fisherman caught 6 bluegills and 4 bass. What is the ratio of the number of bass caught to the total number of fish caught?
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