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AnnyKZ [126]
3 years ago
14

Can a 14 inch umbrella fit inside a suitcase that has dimensions of 9" x 12"? Explain.

Mathematics
2 answers:
inessss [21]3 years ago
5 0
Yes. The umbrella is smaller than the suitcase. The suitcase is 81'^2, but the umbrella is 14
MrRa [10]3 years ago
4 0
I will assume that when you say 14", you are referring to the diameter of the open umbrella.
When an umbrella is folded down, really the only dimension we need to figure out is the distance from top to bottom - which, when spread open, is the same distance as the radius.
To find the radius: 14 divided by 2 = 7.
No matter which way you turn the umbrella - vertical, horizontal, or diagonal, 7 is smaller than 9 or 12. So yes, you can fit the umbrella in the suitcase when it is closed.
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Zigmanuir [339]

Answer:

A ≈ 65.8 m²

Step-by-step explanation:

Given 2 sides and the angle between them then the area (A) is

A = \frac{1}{2} bc sinA

   = 0.5 × 19.9 × 10.7 × sin38.17°

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6 0
2 years ago
Plz show your work
andrew11 [14]

Answer:

9/5 (-8) > = F > = 9/5 (157)

Step-by-step explanation:

A. -40>= 5/9F - 32

-40+32>= 5/9F

9/5(-8) >= F

B. 125 <= 5/9F - 32

125+32 <= 5/9F

9/5(157) <= F

9/5 (-8) >= F >= 9/5 (157)

5 0
3 years ago
Read 2 more answers
Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
klasskru [66]

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

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Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

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8 0
2 years ago
Solve the following maximization problem graphically.
rjkz [21]

The maximized value of the function is (c) 119/2

<h3>Maximization problem</h3>

Maximization problems are used to determine the optimal solution of a linear programming model

<h3>Objective function</h3>

The objective function is given as:

P(x,y) = 11x + 10y

<h3>Constraints</h3>

The constraints are given as:

22x + 2y \le 68

8x + 16y \le 68

x,y\ge 0

<h3>Graph</h3>

See attachment for the graph of the constraints

From the graph, the optimal solution is: (2.83, 2.83)

So, the maximized value is:

P(x,y) = 11x + 10y

P =11 \times 2.833 + 10 \times 2.833

P =59.493

Approximate

P =59.5

Rewrite as a fraction

P =\frac{119}{2}

Hence, the maximized value of the function is (c) 119/2

Read more about maximization problem at:

brainly.com/question/16826001

6 0
2 years ago
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Answer:

361.35

Step-by-step explanation:

4 0
2 years ago
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