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3 years ago

The perimeter of a regular pentagon is 17.5 inches. What is the length of each side? 3.5 in. 4 in. 5.8 in. 87.5 in.

Mathematics

1 answer:

Fantom [35]3 years ago

5 0

Answer:

3.5 in.

Step-by-step explanation:

17.5 ÷ 5 = 3.5

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C. A wheel barrel tire has circumference of 31.42 inches, find the area of the tire

butalik [34]

Answer: 78.55inches

Step-by-step explanation: see attachment

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3 years ago

The stadium is being courted to host weekly UFC events, with each event projected to generate $90,000 in revenue. If the cost fo

luda_lava [24]

$50,000 Profit * 52 (Weeks in a Year) = $2,600,000

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3 years ago

Read 2 more answers

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN =7x+9 and MP=9x-9

PilotLPTM [1.2K]

Answer:

see explanation

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 9 = 7x + 9 ( subtract 7x from both sides )

2x - 9 = 9 ( add 9 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72

MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72

7 0

3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

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4 0

1 year ago

Four people each invested $450 in an account that earns simple interest assuming no other deposit or withdrawal were made witch

lina2011 [118]

Answer: $250

Step-by-step explanation: Step 1: Multiply $50 by 4 Step 2: Subtract $450 by $250 Step 3: Then you get $200 leftover

8 0

3 years ago