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3 years ago

What is the circumstance of the circle P .

Mathematics

2 answers:

Lady_Fox [76]3 years ago

8 0

Answer:

6π ft

Step-by-step explanation:

I believe you meant CIRCUMFERENCE, the distance around the outer edge of this circle. The appropriate formula for the circumference is C = 2πr, where r is the radius. In the illustration we see that line segment PA has length 3 ft. Thus, the circumference of this circle is C = 2π(3 ft) = 6π ft (the next to last answer choice).

Andreas93 [3]3 years ago

7 0

Answer:

=6π ft

Step-by-step explanation:

The circumference of a circle is calculated using the formula C=2πr where r is the radius and C the circumference of the circle.

In the circle provided r= 3ft

C= 2π × (3ft)

=6π ft

We do not use the approximate value of pi as the question demands us to leave pi unsolved.

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In a right triangle, the acute angles measure ×+15 and 2× degrees. What is the measure of the larger acute angle of the triangle

harkovskaia [24]

Sum of angles in a triangle is 180°

90 + (x + 15) + (2x) = 180

90 + x + 15 + 2x = 180

105 + 3x = 180

3x = 180 - 105

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x = 25

Smaller angle = x + 15 = 25 + 15 = 40°

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3 years ago

Train X is traveling at a constant speed of 30 miles per hour and Train Y is traveling at a constant speed of 40 miles per hour.

topjm [15]

Answer:

3.5 hours

Step-by-step explanation:

Speed of train X=30 mph

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We have to find the time when train Y is 10 miles ahead of train X.

We know that

Time= $\frac{Distance}{Relative\;speed}$

Using the formula

Then, we get

Time= $\frac{35}{10}=3.5 hours$

Hence, it will be 3.5 hours until train Y is 10 miles ahead of train X.

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3 years ago

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A bedroom of a house is 12 feet wide by 14 feet long. The scale of the floor plan of the house is 0.5 inch = 3 ft. What is the w

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The manufacturer of a CD player has found that the revenue R (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com

AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

$R(p) = -5p^2 + 1550p$

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

$\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550$

Equating the first derivative to zero, we get,

$\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155$

Again differentiation R(p), with respect to p, we get,

$\dfrac{d^2(R(p))}{dp^2} = -10$

At p = 155

$\dfrac{d^2(R(p))}{dp^2} < 0$

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

$R(155) = -5(155)^2 + 1550(155) = 120125$

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

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