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3 years ago

On weekends, Ben mops the kitchen floor. Below is an image that shows

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

4 bit it could be 10 depending on your grade level

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50 POINTS!!! I NEED IT NOW!!!

MAXImum [283]

Answer:

37.699 cm³

Step-by-step explanation:

Sa of cone:

pi×r×l + pi×r²

(3pi × l) + (pi × 3²) = 24pi

3l + 9 = 24

3l = 15

l = 5 (slant height)

Height: h

h² + r² = l²

h² + 3² = 5²

h² = 16

h = 4 cm

Volume = ⅓ × pi × r² × h

= ⅓ × pi × 3² × 4

= 12pi cm³

= 37.69911184 cm³

7 0

3 years ago

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice

Lady bird [3.3K]

Answer:

<em>The shortest side of the fence can have a maximum length of 80 feet</em>

Step-by-step explanation:

<u>Inequalities</u>

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

$2x + 2y \le 500$

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

$2(10 + 2y) + 2y \le 500$

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

$20 + 4y + 2y \le 500$

Simplifying:

$20 + 6y \le 500$

Subtracting 20:

$6y \le 500 - 20$

$6y \le 480$

Solving:

$y \le 480 / 6$

$y \le 80$

The shortest side of the fence can have a maximum length of 80 feet

4 0

3 years ago

Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds 2 leotards on sale for $24

Rus_ich [418]

Answer:

$35.99

Step-by-step explanation:

2 · $24.80 = $49.60 (total price)

$49.60 + $22.38 = $71.98 (original total)

$71.98 / 2 = $35.99 (original price of each)

4 0

3 years ago

Decompose to find the product of 9 × 5.16.

vekshin1

The answer is 46.44 because if you multiply 9 by 5.16 you can easily find out that it is 46.44

7 0

3 years ago

Read 2 more answers

Please help pls pls help pls belp

Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

8 0

2 years ago